Guaranteed Cost Fault-tolerant Control Research Articles

Event-triggered explorized IRL-based decentralized fault-tolerant guaranteed cost control for interconnected systems against actuator failures

This paper presents a novel data-based decentralized guaranteed cost (DGC) fault tolerant control (FTC) scheme for the large-scale systems subject to actuator faults and mismatched interconnection. First, the FTC issues of interconnected systems are converted into a series of near optimal event-triggered control (ETC) methods for isolated subsystems via constructing a modified performance index function of each subsystem. By means of adaptive dynamic programming (ADP) algorithm, the upper bound of performance index function of large-scale systems can be obtained by solving the Hamilton-Jacobi-Bellman (HJB) equation of each auxiliary subsystem. Second, according to the proposed ADP-based decentralized approach and utilizing the event-based synchronous integral reinforcement learning (IRL) algorithm, a model-free guaranteed cost (GC) FTC approach is developed for interconnected large-scale system which can relax the restriction on the condition that system functions must be known. Further, the ultimate uniformly bounded (UUB) stability of auxiliary subsystems can be proved according to the Lyapunov principle. Finally, the effectiveness of the proposed control method is verified by presenting the simulation results.

Quantified Guaranteed Cost Fault-Tolerant Control for Continuous-Time Fuzzy Singular Systems With Sensor and Actuator Faults

Quantified Guaranteed Cost Fault-Tolerant Control for Continuous-Time Fuzzy Singular Systems With Sensor and Actuator Faults

Guaranteed cost fault-tolerant control for uncertain stochastic systems via dynamic event-triggered adaptive dynamic programming

It is difficult to apply the event-triggered adaptive dynamic programming (ET-ADP) algorithm to Itô-type stochastic systems due to stochastic disturbances. Therefore, few studies have addressed the ET-ADP algorithm for Itô-type stochastic systems. To fill this gap, this paper investigates a guaranteed cost fault-tolerant control problem for uncertain stochastic systems via a dynamic ET-ADP algorithm. First, the original control problem is transformed into the optimal control problem of a nominal system, and sufficient criteria are presented to verify the feasibility of the problem transformation. Second, a dynamic event-triggered condition is designed. Then, the optimal control of the nominal system is achieved via an ET-ADP algorithm. Finally, a numerical simulation and a comparative experiment are presented to illustrate the effectiveness of the developed control scheme.

Finite-time resilient fault-tolerant investment policy scheme for chaotic nonlinear finance system

Abstract The problem of unpredictable and irregular fluctuations in investment policy scheme for the chaotic nonlinear finance system with undesirable changes such as wrong economy policy, share loss and natural disaster which is described by the well-known nonlinear differential equation is concerned in this work. A resilient fault-tolerant guaranteed cost controller with delay is designed to tackle the fluctuations in investment policy scheme with minimum guaranteed cost bound and also to achieve finite-time boundedness. Specifically, a new delay-dependent sufficient constraints is derived with the aid of suitable Lyapunov–Krasovskii functional to obtain the required result with minimum disturbance attenuation level through extended passivity performance index. Based on the addressed algorithm, the required investment policy scheme is determined by resorting the obtained constraints into MATLAB LMI toolbox. At last, the theoretical results are validated by presenting numerical simulations.

H∞ Guaranteed Cost Fault-Tolerant Control of Double-Fault Networked Control Systems: Piecewise Delay Method

The term double-fault networked control system means that sensor faults and actuator faults may occur simultaneously in networked control systems. The issues of modelling and an H∞ guaranteed cost fault-tolerant control in a piecewise delay method for double-fault networked control systems are investigated. The time-varying properties of sensor faults and actuator faults are modelled as two time-varying and bounded parameters. Based on the linear matrix inequality (LMI) approach, an H∞ guaranteed cost fault-tolerant controller in a piecewise delay method is proposed to guarantee the reliability and stability for the double-fault networked control systems. Simulations are included to demonstrate the theoretical results of the proposed method.

Fuzzy Iterative Learning Control-based Design of Fault Tolerant Guaranteed Cost Controller for Nonlinear Batch Processes

For nonlinear batch processes with actuator faults and external disturbances, a fault-tolerant guaranteed cost controller is proposed based on fuzzy iterative learning control. The linear process model is treated by a sector nonlinear method into a T-S fuzzy faulty model, then the obtained model is transformed into the 2D Roesser equivalent model using the two-dimensional characteristics of batch processes. Based on the obtained model and the Lyapunov stability theory, the quadratic cost function is given and the fault-tolerant guaranteed cost controller guaranteeing that the closed-loop performance index is not more than an upper bound is designed to deal with the actuator fault. The fault-tolerant controller guarantees the stable operation of the faulty system and also has the best system performance with the controller gain and the maximum performance index being solved through constrained optimization. Finally, the simulation on a strong nonlinear reactor is carried out. It shows that the proposed method is more feasible and effective than other methods.

Delay-Range-Dependent-Based Hybrid Iterative Learning Fault-Tolerant Guaranteed Cost Control for Multiphase Batch Processes

Concerning multiphase batch processes with delays, disturbances, and actuator faults, the design of 2D robust hybrid composite iterative learning fault-tolerant guaranteed cost controller is put forward. First, a hybrid iterative learning control law is introduced and the multiphase batch process with interval time-varying delays is converted to an equivalent 2D-FM switched system with actuator faults by the introduction of system output tracking errors and state errors and consideration of fault effects. Next, a sufficient condition for satisfying asymptotical stability that the closed-loop switched system has the upper bound of minimum performance index is established by application of the theoretical framework of 2D system and selection of 2D Lyapunov–Krasovskii function on the basis of an average dwell time method. Then, the optimal design algorithm of the 2D hybrid robust iterative learning fault-tolerant guaranteed cost control is presented. In the meantime, in view of the effects of delay terms on ...

A Composite Robust Fault-Tolerant Control Scheme for Limited-Thrust Spacecraft Rendezvous in Near-Circular Orbits

External perturbations and actuator faults are two practical and significant issues that deserve designers' considerations when synthesizing the controllers for spacecraft rendezvous. A composite robust fault-tolerant control (FTC) scheme that does not require the fault information is proposed in this paper for limited-thrust rendezvous in near-circular orbits. Within the control scheme, a reliable integral sliding mode (ISM) auxiliary controller and a modified guaranteed cost FTC are, respectively, developed to attenuate the external disturbances and to stabilize the nominal rendezvous system with actuator faults. Comparisons with previous works as well as a more practical and challenging simulation example are presented to verify the advantages of this composite control scheme.

Bi-index Constraints-Based Output Feedback Fault-Tolerant Control for Aero-Engine Distributed Control Systems

With a focus on the aero-engine distributed control system (DCS) with parameter perturbation, Markov time delay, data packet dropout and external disturbance, a research has been carried out on DCS fault-tolerant control on condition of partial failure of actuator. First, a quantitative description of the system parameters is given, and the augmented model of the entire closed-loop system is established. Then the stability of the closed-loop system constrained by \(H_\infty \) and cost performance index is analyzed, and the method of designing optimal guaranteed cost fault-tolerant controller is proposed based on dynamic output feedback. Finally, the consistency theory of bi-index constraints is introduced, based on which the fault-tolerant controller is designed. The simulation results show that the designed controller can effectively reduce the controlling cost of the system while guaranteeing its \(H_\infty \) performance.

Cooperative guaranteed cost fault-tolerant control for multi-agent systems with time-varying actuator faults

This paper investigates the guaranteed cost consensus problem for multi-agent systems with actuator faults/uncertainties. For the leaderless case with actuator faults, a global performance index is constructed by all states and control inputs of all agents, where consensus regulation performances and control energy costs are considered simultaneously. Then, based on the relative state information of neighboring agents, a distributed cooperative guaranteed cost controller is designed, which not only makes the consensus problem solvable but also provides an upper bound of the given global performance index even in the presence of actuator faults. Extensions to the leader-following case with actuator faults and uncertainties are further studied. Finally, two simulation examples are provided to show the effectiveness of the proposed approach.

Approximate guaranteed cost fault-tolerant control of unknown nonlinear systems with time-varying actuator faults

In this paper, the guaranteed cost fault-tolerant control problem for unknown multi-input continuous nonlinear systems with loss of actuator effectiveness faults is investigated using the adaptive dynamic programming algorithm. Initially, by modifying the cost function to account for actuator faults, the problem is transformed into an optimal control problem of the nominal system. Subsequently, by using an existing policy iteration (PI) algorithm to solve the corresponding optimal control problem, a guaranteed cost controller is constructed approximately. Furthermore, a rigorous proof is given to show the convergence of the aforementioned PI algorithm while taking the neural network approximation errors into consideration. Finally, simulation examples are provided to show the effectiveness of the proposed approach.

Guaranteed Cost Fault-Tolerant Control for Networked Control Systems with Sensor Faults

For the large scale and complicated structure of networked control systems, time-varying sensor faults could inevitably occur when the system works in a poor environment. Guaranteed cost fault-tolerant controller for the new networked control systems with time-varying sensor faults is designed in this paper. Based on time delay of the network transmission environment, the networked control systems with sensor faults are modeled as a discrete-time system with uncertain parameters. And the model of networked control systems is related to the boundary values of the sensor faults. Moreover, using Lyapunov stability theory and linear matrix inequalities (LMI) approach, the guaranteed cost fault-tolerant controller is verified to render such networked control systems asymptotically stable. Finally, simulations are included to demonstrate the theoretical results.

Fuzzy Observer-based Robust Guaranteed Cost Fault-tolerant Design for Uncertain Nonlinear NCS

Through the comparison and analysis of some recent patents on the fault-tolerant designed method, this paper addresses the problem of robust guaranteed cost fault-tolerant for nonlinear networked control systems (NNCS) with network- induced delay and packed dropout. Firstly, we adopt observer and state-feedback control strategy, wherein states are immeasurable. Then, by constructing appropriate Lyapunov-Krasovskii functional, based on T-S fuzzy model, a delaydependent sufficient condition is deduced for robust guaranteed cost fault-tolerant control. Further, observer-based gain and state-feedback controller gain can be obtained and optimized. Finally, an example is used to illustrate the effectiveness and feasibility of the proposed approach.

Guaranteed Cost Fault-tolerant Control of Networked Control Systems with Short Output Delay and Short Control Delay Based on State Observer

Supposing that the sensor and controller nodes were time-driven and the actuator node was event-driven, the problem of integrity against sensor failures for the networked control systems with short output delay and short control delay was discussed based on observer. The state observer of the system according to the time-delay compensation strategy was designed. Then, considering possible sensor failures, an augmented mathematic model for the networked control systems based on observer was developed. In terms of the given quadratic performance index function, the integrity condition of the system was given and the designs for guaranteed cost fault-tolerant controller and observer were presented respectively by using the cooperative design approach of the controller and observer and the approach of bilinear matrix inequalities. Finally, a numerical simulation example demonstrated the conclusions are feasible and effective. The proposed control method meets the requirements in industrial networked control systems.

An LMI Method to Robust Iterative Learning Fault-tolerant Guaranteed Cost Control for Batch Processes

Based on an equivalent two-dimensional Fornasini-Marchsini model for a batch process in industry, a closed-loop robust iterative learning fault-tolerant guaranteed cost control scheme is proposed for batch processes with actuator failures. This paper introduces relevant concepts of the fault-tolerant guaranteed cost control and formulates the robust iterative learning reliable guaranteed cost controller (ILRGCC). A significant advantage is that the proposed ILRGCC design method can be used for on-line optimization against batch-to-batch process uncertainties to realize robust tracking of set-point trajectory in time and batch-to-batch sequences. For the convenience of implementation, only measured output errors of current and previous cycles are used to design a synthetic controller for iterative learning control, consisting of dynamic output feedback plus feed-forward control. The proposed controller can not only guarantee the closed-loop convergency along time and cycle sequences but also satisfy the H∞ performance level and a cost function with upper bounds for all admissible uncertainties and any actuator failures. Sufficient conditions for the controller solution are derived in terms of linear matrix inequalities (LMIs), and design procedures, which formulate a convex optimization problem with LMI constraints, are presented. An example of injection molding is given to illustrate the effectiveness and advantages of the ILRGCC design approach.

Delay-Range-Dependent Method for Iterative Learning Fault-Tolerant Guaranteed Cost Control for Batch Processes

This paper addresses the problem of delay-range-dependent iterative learning reliable guaranteed cost control of a class of batch processes with uncertainties, state delay and actuator failures, where the main contribution is in the relevant concept of H∞ iterative learning fault-tolerant guaranteed cost control based on an equivalent two-dimensional system description of these processes. The H∞ iterative learning reliable guaranteed cost controller (ILRGCC) is formulated to include a robust extended feedback control for ensuring the performances over time and an iterative learning control (ILC) for improving the tracking performance from cycle to cycle, such that it can not only guarantee the closed-loop convergence along both the time and the cycle directions but also satisfy both the H∞ performance index and a cost function preserving upper bounds for all admissible uncertainties and any actuator failures. To achieve the least guaranteed cost for the closed-loop system, a convex optimization problem wi...

Observer-based Guaranteed Cost Fault-tolerant Controller Design for Networked Control Systems

Observer-based Guaranteed Cost Fault-tolerant Controller Design for Networked Control Systems

Guaranteed Cost Fault-tolerant Controller Design of Networked Control Systems under Variable-period Sampling

Guaranteed Cost Fault-tolerant Controller Design of Networked Control Systems under Variable-period Sampling