Generalized Performance Index Research Articles

Hybridized bio-based repair mortars: Effects on mechanical, self-healing, and cost performance via novel generalized indexing

This study delves into enhancing the mechanical properties and cost-effectiveness of self-healing cementitious materials through detailed investigation. It conducts a thorough characterization of different hybridized self-healing repair mortars, comprising a laboratory-prepared mortar and two commercial non-self-healing mortars, along with a commercial ready-mix self-healing repair mortar. By incorporating bacteria at varying levels of 1.5 % and 2.5 % as cement replacements, the study aims to reduce costs associated with the self-healing process. Additionally, a sustainability-focused hybridization is performed by combining the ready-mix self-healing repair mortar with the weakest of the three parent mixes. The research evaluates the impact of mortar composition on mechanical properties, particularly concerning the optimal proportion of self-healing agents to achieve maximum strength. Notably, the crack healing efficiency of bacterial-incorporated specimens exhibits significant effectiveness. The correlation between the mechanical properties of intact specimens and their crack healing efficacy is explored, uncovering the potential for creating an outstanding self-healing repair mortar with exceptional healing efficiency and robust mechanical performance. Furthermore, a comparative cost analysis and an overall performance evaluation using the Generalized Performance Index (GPI) demonstrate the feasibility of striking a balance between self-healing material costs and desired performance outcomes through the strategic approach of hybridization.

Security dissipative control for interval type‐2 fuzzy hidden Markovian jump systems under event‐triggered scheme

AbstractThis article presents a new design approach for resilient fault‐tolerant event‐triggered (ET) based security control of Markovian jump nonlinear systems (MJNSs) in the presence of nonperiodic denial‐of‐service (DoS) attacks. The approach is developed based on interval type‐2 (IT‐2) fuzzy models of the plant. The state error produced by data packet loss is turned into a parameter in the proposed ET condition during nonperiodic DoS attacks. The uncertain triggering variable is considered in the resilient fault‐tolerant ET condition for the MJNSs. In contrast to the usual strategy, the fault‐tolerant ET strategy is designed to send the required data packets to the controller during nonperiodic DoS attacks, which significantly contributes to the minimization of performance loss. Dissipative, passive, and ‐control schemes are all covered in a unifying framework by using a generalized performance index. Plant and controller modes are considered under mismatched membership functions to regulate asynchronous phenomena. Sufficient conditions depending on the membership functions that guarantee the stability of the closed‐loop system are derived. Finally, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.

Extended dissipative analysis of affine transformed IT2 fuzzy control systems with time delay and disturbances

This paper focuses on the problem of stability and stabilization for interval type-2 (IT2) fuzzy systems with time-varying delays and external disturbances using the extended dissipative theory. In particular, our approach is to develop a new type of IT2 fuzzy controller that uses affine parameter-based weighting variables. Based on appropriate augmented Lyapunov-Krasovskii functionals and recently developed integral inequalities, some less conservative sufficient conditions are derived in the existence of the zeros equations. Specifically, the required conditions for co-design of affine matched membership functions-based IT2 fuzzy control law are provided such that the generalized performance index, the L2−L∞, H∞, passivity and (Q,S,R)−γ-dissipative problems are investigated. Finally, four examples are represented to verify the advantages of the developed method by comparing it with some existing results.

Adaptive Event-Triggered Finite-Time Dissipative Filtering for Interval Type-2 Fuzzy Markov Jump Systems With Asynchronous Modes.

This article investigates the adaptive event-triggered finite-time dissipative filtering problems for the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy Markov jump systems (MJSs) with asynchronous modes. By designing a generalized performance index, the H∞ , L2-L∞ , and dissipative fuzzy filtering problems with network transmission delay are addressed. The adaptive event-triggered scheme (ETS) is proposed to guarantee that the IT2 T-S fuzzy MJSs are finite-time boundedness (FTB) and, thus, lower the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this article, the parameters of the triggering function are based on an adaptive law, which is obtained online rather than as a predefined constant. Besides, the asynchronous phenomenon between the plant and the filter is considered, which is described by a hidden Markov model (HMM). Finally, two examples are presented to show the availability of the proposed algorithms.

Finite-time output feedback control for nonlinear networked discrete-time systems with an adaptive event-triggered scheme

This paper investigates the problem of finite-time dynamic output feedback (DOF) control for fuzzy networked discrete-time systems. By constructing a generalized performance index, the H∞ control and l2−l∞ control problems are accessed under a unified framework. An adaptive event-triggered scheme (AETS) and a logarithmic quantizer are utilized to save the limited network bandwidth. Based on the Lyapunov function approach, sufficient conditions are proposed to guarantee the closed-loop system being finite-time bounded with the prescribed performance index, and the design criterion of the finite-time DOF controller is given by an exact expression. Finally, a simulation study is performed to illustrate the effectiveness of the developed method.

Fault tolerant robust control with transients for over-actuated nonlinear systems

For the problem of robust fault tolerant control of over-actuated nonlinear systems, a new robust synthesis method is investigated. The nonlinear system is modeled via a T–S fuzzy system approach with actuators layout. Based on a designed non-parallel distributed compensation form controller, the closed loop system is obtained. Then a more generalized performance index is introduced by involving the system transients and actuator faults. With a newly proposed nonlinear approximation method, a series of linear matrix inequalities which can make the system robust stable are listed. Finally, based on a dynamic positioning vessel control task, the validity of the proposed method is verified.

An adaptive event-Triggered scheme of extended dissipative filter for interval type-2 delayed T-S fuzzy networked Markov jump systems with intermediate measurements

In this paper, a finite-time adaptive event-triggered dissipative filtering problem for the interval type-2 (IT-2) Takagi-Sugeno (T-S) fuzzy networked Markov jump systems (NMJs) is investigated based upon the time-varying delays. By designing a generalized performance index, the H∞,L2−L∞ and dissipative performances for fuzzy filtering problems with network transmission delay are addressed in a unified framework. In the design process, two essential factors, intermittent data packet dropouts and delay factors in the fuzzy filter are taken into consideration. In order to rationally utilize network resources and elaborately avoid unnecessary continuous monitoring, an adaptive event-triggered scheme is designed to guarantee that the IT–2 T-S fuzzy NMJSs are finite-time boundedness, and thus lowering the energy consumption of communication while ensuring the performance of the system with extended dissipativity. Different from the conventional triggering mechanism, in this paper, the parameters of the triggering function are based on a new adaptive law which is obtained online rather than a predefined constant. Based on the Lyapunov stability theory and appropriate inequality, some sufficient criteria in the form of linear matrix inequalities are obtained to ensure the stability of the resulting error system. Finally, an illustrative example is provided to demonstrate the effectiveness and superiority of the proposed method.

Event-Based Dissipative Control of Interval Type-2 Fuzzy Markov Jump Systems Under Sensor Saturation and Actuator Nonlinearity

This article proposes a new design of an event-based dissipative asynchronous controller for the interval type-2 (IT2) fuzzy Markov jump systems (MJSs) subject to sensor saturation and actuator nonlinearity. By resorting to a generalized performance index, the <inline-formula><tex-math notation="LaTeX">${H_\infty }$</tex-math></inline-formula>, passive, and dissipative fuzzy control problems are solved in a unified framework. The event-based scheme is developed for the IT2 fuzzy MJSs subject to sensor saturation and actuator nonlinearity, and the energy consumption of communication can be reduced. Moreover, the system and controller modes are asynchronous, and a hidden Markov model is employed to observe the modes of the original system. The membership-function-dependent approach is applied to analyze the stability of the closed-loop system. Finally, two examples are given to demonstrate the effectiveness of the proposed algorithms.

Finite-Time Extended Dissipative Filtering for Singular T-S Fuzzy Systems With Nonhomogeneous Markov Jumps.

This article investigates the finite-time extended dissipative filtering for singular T-S fuzzy Markov jump systems with time-varying transition probabilities (TPs). The time-varying TPs are considered to reside in a polytope. By resorting to a generalized performance index, the H∞ , L2-L∞ , passive, and dissipative performance can be solved in a unified framework. Combining the free-weighting method and the proposed recursive method, a sufficient condition on singular stochastic extended dissipative finite-time boundedness (SSEDFTB) for a fuzzy filtering error system is obtained. By proposing a decoupling principle called double variables-based decoupling principle (DVDP) and a variable substitution principle (VSP), a novel condition on the existence of the fuzzy filter is presented in terms of linear matrix inequalities (LMIs). Compared with the existing works, the assumption on state variables and the constraints of slack matrices are overcome, which leads to more practical and less conservative results. A practical example is provided to demonstrate the effectiveness of the design methods.

UAV Optimal Guidance in Wind Fields Using ZEM/ZEV With Generalized Performance Index

This article presents an optimal guidance approach for unmanned aerial vehicle navigation between two given points in 3D considering the wind influence. The proposed cost function to be minimized involves the weighting of the travel time and the control energy. An analytical expression is derived for the optimal cost yielding a fourth-order polynomial, whose positive real roots correspond to the optimal travel times. The optimization problem is shown to be equivalent to the zero-effort-miss/zero-effort-velocity optimal guidance approach for the case of a constant wind acceleration. Case studies for rendezvous and intercept problems are shown through simulation examples for different wind conditions.

Optimal terminal-time determination for the ZEM/ZEV feedback guidance law with generalized performance index

This paper investigates a problem of determining the optimal terminal-time or time-to-go of the ZEM/ZEV (Zero-Effort-Miss/Zero-Effort-Velocity) feedback guidance law for a variety of orbital intercept or rendezvous maneuvers. A generalized ZEM/ZEV guidance problem, whose objective is to minimize a combination of the control energy and terminal time, is examined. Algebraic equations whose solution provides the optimal terminal-time of the orbital intercept/rendezvous problems are derived based on the optimal control theory. The effectiveness of the proposed approach is demonstrated for various orbital maneuver problems.

Event-Triggered Finite-Time Robust Filtering for a Class of State-Dependent Uncertain Systems With Network Transmission Delay

In this paper, the event-triggered robust filtering problem is investigated for a class of network-based state-dependent uncertain systems in the sense of finite-time boundedness, considering network transmission delay. By resorting to a generalized performance index, the $H_\infty $ and $L_{2}-L_\infty $ filtering problems can be solved in a unified framework. An event-triggered scheme is also utilized to sift out the sampled signals so that both the communication resources and the network bandwidth can be saved as much as possible. By means of an appropriate Lyapunov–Krasovskii functional and the delay system approach, sufficient conditions guaranteeing the filtering error system being finite-time bounded with extended dissipativity are deduced. Based on the convex optimization, an explicit expression of the desired finite-time robust filter is derived. Finally, two numerical examples are provided to illustrate the effectiveness of the developed methods.

Fractional Order Version of the Hamilton–Jacobi–Bellman Equation

We consider an extension of the well-known Hamilton–Jacobi–Bellman (HJB) equation for fractional order dynamical systems in which a generalized performance index is considered for the related optimal control problem. Owing to the nonlocality of the fractional order operators, the classical HJB equation, in the usual form, does not hold true for fractional problems. Effectiveness of the proposed technique is illustrated through a numerical example.

Optimal regulation problem with fractional order performance index

This paper addresses a new view to the optimal control problems in a more realistic perspective. It is clear for control engineers that one of the most serious adversities in defining the performance index is to decide what characteristics of the system response are important to be considered and how they have to be weighted if they are not treated totally equal. In this manuscript, using fractional order integration, a time-weighted performance index is introduced for evaluating the performance of optimal regulation problems which extends the quadratic cost functional in the classical process control systems. Such formulations are gained in the light of intrinsic kernel in the definition of the Riemann–Liouville fractional order integral which weighs the Lagrangian of the performance index upon the time progresses. Moreover, a constraint on the fractional order derivative of the control signal is included in the generalized performance index to overcome the saturation problem occurred in the real control systems. The proposed techniques are supported by some discussions and several numerical simulations.

On Applications of Generalized Intelligent Control System Synthesis Method Based on Idea of System Generalized Performance Index

Every control theory has its advantages and shortages. It is difficult to adopt single control theory or method to solve technical problems of complex control system. Taking asymptotically tracking and disturbance rejection of complex controlled object as an example, the Reference is to explore noetic method of control science, and approve the control ideas of broad the nonlinear control system performance indicators Receiving the thought of metasynthetic engineering, a generalized intelligent control system has been designed by fusing manifold control ideas, which is beneficial to bring colony wisdom into play and is accordance with opening great system study pattern, and is expansible. There has presented sufficiency conditions and proves of the system stability, and salience effect has been acquired in engineering practice.

Analysis of the informativeness of piezoelectric presure transducers by means of a generalized performance index

A comparison of piezoelectric pressure transducers produced by different Russian and foreign firms is carried out using a generalized performance index.

Multivariable adaptive control of bilinear systems in the presence of bounded disturbances

Abstract This paper presents an adaptive controller for multivariable bilinear systems subject to bounded disturbances. The controller can minimize a generalized performance index and can control the bilinear systems whose linear part is not necessarily minimum phase. The proof of uniform boundedness of all signals and the upper bound of generalized tracking error are given. Simulation result shows the effectiveness of the proposed adaptive control scheme.

Discrete optimal terminal control with application to missile guidance

The following aspects of discrete optimal terminal control of a linear system with a quadratic performance index are considered: 1) specification of a performance index that will give satisfactory results from an engineering standpoint at the critical terminal time; 2) closed-form algebraic solutions of the control law that are computationally feasible on-line, without necessitating prior lengthy off-line computation and storage. For a linear with discrete control, it is shown how a generalized performance index can be modified slightly in order to provide implicit feedback. The original and control problem are replaced by an plant (with eigenvalues that are shifted only if those of the original are unsuitable) and an problem. The equivalent problem (with a slight restriction) has a performance index whose loss function weights only the control, and is solved for the optimal control in closed form with minimal difficulty from literal matrix inversion. Solution of the optimal control in the original problem is a minor additional step. If the original has suitable eigenvalues, as in the case of a missile system with a well-designed autopilot, then the equivalent problem reduces to the original problem because there is no need for implicit feedback via the performance index. For a general missile-guidance problem, the solution of the restricted equivalent problem with discrete control is given. The example is for a missile airframe (without a conventional autopilot) having unsuitable eigenvalues. Performance in terms of rms state variables is sharply improved by making the equivalent have eigenvalues that correspond to a fast integral of the squared acceleration error response.

A new approach to the "inverse problem of optimal control theory" by use of a generalized performance index (GPI)

A new approach to the "inverse problem of optimal control theory" by use of a generalized performance index (GPI)

Feedback control of stochastic systems with a generalized performance index†

Abstract The feedback control of a class of linear systems disturbed by additive white noise is considered. A linear control law is used to minimize a non-quadratic integral performance criterion. The stochastic problem is transformed to a deterministic problem, and a solution is developed using the calculus of variations.