Synergetic Control Research Articles

Fixed-time synergetic controller for stabilization of hydraulic turbine regulating system

The hydraulic turbine regulating system (HTRS), which is a core part of hydropower station, is essential and significant for the safe and stabilization operation of the hydropower station. The HTRS is a highly nonlinear, strongly coupled non-minimum phase system, which is difficult and significant to design controller to maintain the frequency stability of the HTRS. In this paper, a fixed-time synergetic controller (FTSC) is proposed to make the frequency of the HTRS stable for small and medium-size power stations in an upper bound time. The input/output feedback linearization is implemented to establish the relationship between the frequency of HTRS and the control input. An FTSC is presented based on the Lyapunov stability theory, synergetic control theory, and fixed-time stability theory. Besides, the proposed FTSC can ensure the frequency stability of HTRS in a limited and quantifiable convergence time, which is not dependent on the initial operating condition and thus overcoming the shortcoming of finite-time stability. Finally, comparative simulations between the proposed FTSC, PID, and sliding mode control (SMC) are presented. Meanwhile, the effects of different hydraulic-mechanical parameters are considered. The results validate the effectiveness and the superior performance of the proposed FTSC over existing PID and SMC under various operating conditions.

Application of stochastic control method on manifold at immunology problem

The purpose of the paper is to study the principal appropriateness of the synergetic control theory to the simplest immunological object with the initial description in the form of a system of nonlinear differential equations. Physically, the control here refers to a regime to administer anti-disease substances. Based on the analytical synthesis, two control systems for an object were obtained: 1) for a continuous deterministic case; 2) for a discretized model with additive random noise in a controlled variable. The results of numerical modeling of the developed control systems that can be used in the respective decision support systems are presented.

Method for increasing the efficiency of guidance of an unmanned aerial vehicle at high speed and higly maneuverable target

The purpose of the article is to increase the efficiency of the use of an unmanned aerial vehicle (UAV), when pointing it at high-speed and highly maneuverable targets, through the use of a combined method of creating control forces and moments, as well as the synthesis of an onboard stabilization system (UAV), based on a multidimensional nonlinear dynamic model. The combined control algorithm is based on a combination of aerodynamic and gas-dynamic methods of creating forces and moments. In this case, switching modes from aerodynamic to gas-dynamic control are taken into account, including the features of the synthesis of the stabilization system on the bases of the synergetic control theory and the processes of its dynamics. Simulated mathematical modeling of UAVs with a combined control method and a synthesized controller was carried out. The synthesis of the onboard stabilization system controller is based on the introduction of attractor states into the space, which ensure the formation of the necessary UAV properties. The synthesized controller implements the required technological tasks and the stability of the aircraft. The need to use the aerodynamic control method and synthesis of the stabilization system regulator is due to the growth of the tactical and technical characteristics of aerospace attack facilities, which will ensure high efficiency of UAV application for high-speed and highly maneuverable targets.

Adaptive finite integral non-singular terminal synergetic control of nth-order nonlinear systems

This paper proposed a novel finite synergetic control scheme. This controller utilizes an integral non-singular terminal attractor technique that guarantees the finite-time convergence of the states, solves the singularity problem of a conventional terminal attractor manifold, and provides a chattering-free control signal. The principles of this controller are introduced and demonstrated for second and nth-order nonlinear systems. The stability of the controller is verified using Lyapunov stability theory. In addition, an interval type-2 fuzzy logic system is implemented to improve the overall performance of the controller. Analysis of a robotic manipulator and a servo-hydraulic actuator is used to illustrate the efficacy of the proposed Adaptive Finite Integral Non-singular Terminal Synergetic Control (AFINTSC).

Bursting oscillation analysis and synergetic control of permanent magnet synchronous motor

The main purpose of this paper is to reveal the evolution mechanism of the bursting oscillation and suppress the bursting oscillation. The permanent magnet synchronous motor (PMSM) system is taken as a research object, and the case of the PMSM with periodic external load perturbation is considered. The first part in this paper is for the analysis of bursting oscillation. First, a mathematical model of the non-autonomous PMSM system with external load perturbation is established, and the frequency of the external load perturbation is set to be far less than the natural frequency of the PMSM system, so that the PMSM system has a fast-slow coupling effect. Then, the non-autonomous PMSM system with external load perturbation is transformed into a generalized autonomous PMSM system by taking the external load perturbation as a slow-varying parameter of the PMSM system. In order to obtain the bifurcation behaviors and different equilibrium types of the PMSM system, the time series diagram, the equilibrium point distribution curve that changes with slow-varying parameter, and the transformed phase portrait are analyzed. Finally, the evolution mechanism of bursting oscillation is revealed by analyzing the overlay of the equilibrium point distribution curve and the transformed phase portrait, and it is found that the change of the equilibrium type and the corresponding bifurcation behavior will cause the PMSM system to exhibit “periodic symmetrical subcritical Hopf bursting oscillation”. The second part focuses on the control of the bursting oscillation. First, a macro-variable is defined by using the synergetic control strategy, which is a linear combination of all state variables of the PMSM system. Then, the synergetic controller is designed based on the constraint that the macro-variable converges to the invariant manifold. When the macro-variable converges to the invariant manifold, the PMSM system is also stabilized to the equilibrium. In addition, in order to explore the influence of controller parameters, a large number of simulation experiments are carried out, and the relationship between the control parameters with the response speed of the PMSM system is obtained. Finally, the effectiveness of the synergetic control strategy is verified by changing the amplitude of the external load perturbation. The simulation results show that the synergetic control strategy has a continuous control law when the system has external load perturbations, and can effectively suppress the bursting oscillation phenomenon of the PMSM system, so that the PMSM system runs stably.

Robust Fault-Tolerant Synergetic Control for Dual Three-Phase PMSM Drives Considering Speed Sensor Fault

Stability and reliability are the most important indicators of drive systems. In this article, a robust nonlinear control method is advanced for dual three-phase permanent-magnet synchronous machine (dual-PMSM) drives, based on the synergetic control theory. This control is implemented by a new synergetic controller (SGC) integrating with an extended sliding mode observer (ESMO), and an optimization method is applied to obtain the optimal parameters of the SGC. This control scheme not only improves the dynamic performance even with operating parameters change, but also can diagnose the speed sensor fault and realize the fault tolerant control (FTC). The proposed control method is compared with the PI control, the sliding mode control (SMC) and the predictive control, as well as the simulation and experimental results confirm the superior dynamic performance and the effectiveness on the speed sensor fault diagnosis (FD) and FTC.

Synergetic Control during Generation of a Maximal Isometric Effort by the Human Arm

This study is a continuation of the previous works on a theoretical description of the mechanism of motor control by the CNS under conditions of the performance of simple motor tasks by humans. We describe the process of development of maximal different-direction static efforts within the horizontal plane by the human arm, where the hand, shoulder joint, elbow joint, and the effort vector are within the same horizontal plane. The upper limb has been modelled by a musculoskeletal system comprising of the forearm and shoulder links, elbow and shoulder joints, and of eight muscles of the arm and brachial grid generating the corresponding forces. The problem has been reduced to that of linear programming and is resolved using the simplex method. The results of modelling demonstrated the existence of a complex system of optimization synergies, which changed significantly when the direction of the maximal effort vector was changed. This system of synergies is more complex in the case of generating the maximum effort with two arms connected at the palms. Despite the fact that the modelling results obtained looked rather unexpected and extraordinary from the aspect of a real neurophysiological research, they, nevertheless, can initiate some new ideas for experimental work.

Review Report on Multi-Agent System Control Analysis for Smart Grid System

This study is based on a secondary frequency control of micro-grids along with voltage control by the use of synergetic control in compliance with multi agent system. In the projected control, a voltage source control is being performed to found the micro-grid automated power supply from a renewable energy source. The plant output is being converged to a stable response in the presence of this MAS system.

The Design of a Synergetic Controller for Tuberculosis Epidemic System

The Design of a Synergetic Controller for Tuberculosis Epidemic System

Онтологическая система знаний и вычислительных ресурсов современных интеллектуальных технологий

The conceptual solutions of building an ontological knowledge system in the functional spaces of the modern theory of disasters are discussed. The theoretical basis for the implementation of an ontological knowledge system based on a multifunctional software complex determines the principle of generating control actions in conditions of uncertainty based on a hierarchical structure. The analysis of alternatives and the choice of a solution in the multifunctional software complex environment is based on the ensemble forecast. The interpretation of the behavior of complex systems in the multifunctional software complex of predictive models using an ontological knowledge system is carried out as part of a strategy for processing large volumes of Big Data, Work Flow events and hybrid technology, as well as a topological structure for identifying critical situations using cognitive and fractal structures, neurodynamic and multi-agent systems, synergetic control theory. Particular attention is paid to the justification and choice of the interpretive model, taking into account physical effects and patterns from the condition of adequacy.

Adaptive Extended State Observer-Based Synergetic Control for a Long-Stroke Compliant Microstage With Stress Stiffening

In this article, the ultrahigh-precision planar motion control problem is investigated for a novel long-stroke multileaf spring based microstage, by considering the cross-axial coupling-induced varying stiffness. In particular, a discrete-time dynamical model with the stress stiffening effect is presented in a parameter varying form, where a discrete-time adaptive extended state observer (ESO) with exponential forgetting factor is developed based on Kalman-like observer method, and a synergetic control theory (SCT) approach is further proposed combining the observer structure to achieve microscale multiaxis motion control. The conditions on the convergence of the adaptive ESO and the robust stability of the closed-loop system are also derived with a theoretical analysis. Finally, the proposed control architecture is implemented (in real time) on a designed microstage, demonstrating significant performance improvement over existing results such as proportional-integral-derivative (PID) control and conventional active disturbance rejection controllers control methods.

Real-Time Investigation of an Adaptive Fuzzy Synergetic Controller for a DC-DC Buck Converter

In this paper, an adaptive fuzzy synergetic controller (AFSC) for a DC-DC converter is introduced. Two robust control techniques, synergetic control combined with fuzzy logic control, are utilized to produce a reliable DC-DC power supply. This is-realized by an indirect adaptive control of a DC-DC buck converter. To further enhance robustness, a nonlinear constraint, the equivalent of the sliding surface, is used to guarantee performance and stability for any operating condition. To ensure overall strength, closed-loop signals are bounded and the stability is guaranteed using the Lyapunov theory. Control parameters are optimized using a PSO algorithm to further enhance performances. The proposed controller (AFSC) is designed through a dSpace based experimental setup to provide robust DC-DC buck converter voltage control.

Real-Time Investigation of an Adaptive Fuzzy Synergetic Controller for a DC-DC Buck Converter

Real-Time Investigation of an Adaptive Fuzzy Synergetic Controller for a DC-DC Buck Converter

Design of nonlinear coordinate damping controller for HVDC and SVC based on synergetic control

This article presents a novel nonlinear coordinate damping controller (NCDC) for high‐voltage direct current (HVDC) and static var compensator (SVC) based on synergetic control theory, which can improve the stability of interarea power system and multi‐infeed HVDC system by quickly changing the transmission power of HVDC and reactive power of SVC. The traditional control design of HVDC and SVC can improve the stability, but there may be a negative interaction between the controllers of HVDC and HVDC or HVDC and SVC. Furthermore, the power system is a strong nonlinear system, and the controller designed by a linearized model may reduce its performance. To solve these problems, this article first constructs a unified macro variable and manifold, which contains the model of HVDC and SVC. The manifold sets the deviation value of the center of inertia (COI) frequency of the two systems connected by HVDC to zero. Then, a nonlinear HVDC and SVC coordinated controller is derived based on the synergetic control theory. The global stability of the controller is proven by the Lyapunov theorem. Finally, the simulation results in a two‐area power system and a multi‐infeed system using the power systems computer aided design (PSCAD) show the effectiveness and superiority of the proposed controller. © 2019 Institute of Electrical Engineers of Japan. Published by John Wiley & Sons, Inc.

Synergetic approach in attitude control of very flexible satellites by means of thrusters and PZT devices

The interaction between angular motion and flexible vibrations can heavily affect the stability of the spacecraft. Many control strategies have been developed for solving this issue. Some of them are focused on the attitude dynamics while a different approach consists in facing the problem from the structural point of view, trying to actively damp the vibrations induced by the attitude control, using smart material (like piezoelectric) devices.In this research, an approach unifying the two aspects is proposed. The satellite is modeled as a flexible multibody system, in which the two sets of actuators (attitude and structural devices) are commanded by means of a common sliding mode control algorithm. In such a way, the two systems are not considered as competitors (each one trying to cancel the disturbing effects caused by the other one), but they are cooperating for the common goal of acquiring a desired attitude in a given time without residual oscillations. This synergetic approach is first developed in a numerical environment, then it is tested by means of a free-floating platform equipped with flexible appendages, designed and built as a multilayer composite material with a net of embedded PZT patches (sensors and actuators). The overall navigation and control loop is based on the information coming from the Inertial Measurement Unit and from the PZT sensors, which are filtered and sent to the Synergetic controller, with the goal of reaching a desired attitude. The output of the Synergetic controller consists in both the thrusters firing sequence and the PZT actuators voltage difference required to reach the goal. The experimental results are compared with the ones obtained by more classic approaches (attitude and structural control computed independently), commenting both advantages and drawbacks of the different approaches.

Comparison of the Methods of Classical and Synergetic Theories of Control of the Movement Autonomous Underwater Machine

The article deals with the problem of nonlinear synthesis of the laws of motion control of an autonomous underwater vehicle (APA) in the vertical plane. The tasks of the synthesis are the output of the underwater vehicle to a predetermined depth at a given speed. Based on the non-linear mathematical model of the APA, the control laws are synthesized by two different approaches: using the classical automatic control theory method, the proportional-integral-differential controller (PID controller), and using the synergetic control theory, the analytical design method for aggregated regulators (ADAR). Classical methods of the theory of automatic control assume a linear or linearized mathematical description of controlled processes and scalar control, which cannot but affect the adequacy of the mathematical description of processes and the efficiency of the developed algorithms. Such structures are ineffective because they do not allow to obtain the necessary stability margin of the system and are approximate. In addition, the scalar control principle often limits the ability to effectively influence the system, ignoring potential control channels. The vector control principle used in the work allows to more effectively influence the system through various control channels. The assumed laws of synergetic control endow the object in question with properties of asymptotic stability in the entire admissible region of change of state variables.The results of computer simulation of the APA motion, which confirm the achievement of control goals, are considered.

Novel design of an optimized synergetic control for dual stator induction motor

PurposeThis paper aims to present a contribution to improve the performance of vector control scheme of double star induction motor drive (DSIM) by using an optimized synergetic control approach. The main advantage of synergetic control is that it supports all parametric and nonparametric uncertainties, which is not the case in several control strategies.Design/methodology/approachThe suggested controller is developed based on the synergistic control theory and the particle swarm optimization (PSO) algorithm which allow to obtain the optimal parameter of suggested controller to improve the performance of control system.FindingsTo show the benefits of proposed controller, a comparative simulation results between conventional PI controller, sliding mode controller and suggested controller were carried out.Originality/valueThe obtained simulation results illustrate clearly that synergetic controller ensures a rapid response, asymptotic stability of the closed-loop system in the all range operating condition and system robustness in presence of parameter variation in all range of operating conditions.

Adaptive Fuzzy Type-2 Synergetic Control Based on Bat Optimization for Multi-Machine Power System Stabilizers

Adaptive Fuzzy Type-2 Synergetic Control Based on Bat Optimization for Multi-Machine Power System Stabilizers

Finite-time terminal synergetic control of a class of nonlinear systems with unmatched uncertainties

Abstract In this paper, the problem of finite-time tracking for nth-order uncertain nonlinear systems with unmatched uncertainties is addressed. Using a terminal synergetic manifold, a controller is provided to force the tracking error to the origin in finite time in the presence of unmatched uncertainties. With this method, chattering problem is completely removed without defining a new function. Lyapunov theory is used to prove the stability of the proposed method. The proposed controller provides the convergence of finite-time tracking error to zero by suitable performance that is theoretically analysed and proved through simulation.

Adaptive Fuzzy Type-2 Synergetic Control Based on Bat Optimization for Multi-Machine Power System Stabilizers

A new, adaptive, fuzzy type-2 fast terminal, synergetic multi-machine power system stabilizer is proposed in this study, based on the Bat algorithm. The time spent to reach the equilibrium point, from any initial state, is guaranteed to be finite. The adaptive fuzzy type-2 design is applied to estimate the unknown functions of a multi-machine power system. The parameters of the fast terminal synergetic control are optimized, using bat metaheuristic method. In order to test the robustness of the proposed stabilizer, three load conditions, of the multi-machine power system are studied. A comparison of the proposed adaptive fuzzy type-2 synergetic power system stabilizer with bat conventional approach is presented, indicating improved performance. The control system stability is assessed by the second theorem of Lyapunov and is proven to be asymptotically stable.