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This study focuses on the memory state feedback control problem for a family of time delayed interval type-2 Takagi-Sugeno fuzzy systems with external disturbance and actuator faulty input. Notably, an actuator fault model is implemented in the control design. In this study, the membership functions, the premise variables of the controller and the considered plant model are chosen freely. By employing the Lyapunov–Krasovskii functional method, the linear matrix inequality approach and the Abel lemma-based finite sum inequality, a set of sufficient conditions that guarantees the stability of the considered system is obtained via the extended passivity performance index. The developed theoretical results are validated with an artificial example and an application-oriented example. [ABSTRACT FROM AUTHOR]

Summary: This paper addresses the issue of finite‐time boundedness of large‐scale interconnected systems with the use of a distributed nonfragile fault‐tolerant controller. The objective of this paper is to design a state‐feedback controller consisting of a time‐varying delay such that the resulting closed‐loop system is finite‐time bounded under a prescribed extended passivity performance level even in the presence of all admissible uncertainties and possible actuator faults. More precisely, based on the Lyapunov‐Krasovskii stability theory, a new set of sufficient conditions is obtained in the framework of linear matrix inequality constraints that ensures finite‐time boundedness and satisfies the prescribed extended passivity performance index of the considered system. Finally, two numerical examples, including the interconnected inverted pendulum, are given to show the effectiveness of the proposed controller design technique. [ABSTRACT FROM AUTHOR]

Abstract This paper investigates the β -dissipativity-based reliable non-fragile sampled-data control problem for a class of interval type-2 (IT2) fuzzy systems. In particular, it is allowed to have randomly occurring time-varying delays in the controller design, which are modeled by Bernoulli distributed white noise sequences. Precisely, the IT2 fuzzy model and the non-fragile sampled-data controller are formulated by considering the mismatched membership functions. By constructing an appropriate Lyapunov–Krasovskii functional, a set of delay-dependent conditions is derived to guarantee that the closed-loop IT2 fuzzy system is strictly < Q,S,R > - β -dissipative. Moreover, the gain matrices of feedback reliable non-fragile sampled-data controller are derived in terms of linear matrix inequalities (LMIs), which can be solved by using existing LMI solvers. Two numerical examples are eventually given to illustrate the applicability and effectiveness of the proposed controller design technique. Highlights • An interval type 2 fuzzy model is formulated with upper and lower membership functions such that it can capture the uncertainties subject to probabilistic delay, actuator faults and gain fluctuations in the control design. • A generalized actuator fault model containing both linear and nonlinear terms is implemented in the non-fragile sampled-data controller design and the proposed controller precisely deals with the gain fluctuations. • By constructing an appropriate Lyapunov–Krasovskii functional together with Wirtinger-based double integral inequality, a new set of sufficient criteria is developed for obtaining the required result. • The obtained results are verified through numerical examples, which reveal that the proposed method yields less conservative results and better performance for the considered interval type 2 fuzzy model. [ABSTRACT FROM AUTHOR]

Abstract This paper gives attention to the issue of finite-time leader-following consensus of nonlinear discrete-time multi-agent systems with Markov jump parameters. A robust fault-tolerant control protocol that takes the effect of time-varying actuator faults and actuator saturation into account is considered for the addressed system. The main purpose of the paper is to design a fault-tolerant controller such that the leader-following consensus of the addressed system is achieved over a prescribed finite-time interval. By using the Lyapunov functional approach, Abel's lemma and some properties of Kronecker product, a sufficient condition for the existence of fault-tolerant state feedback controller for the addressed system is presented and an explicit parameterization of such a controller is obtained. Eventually, a numerical example along with its simulation results is exploited to reflect the applicability of the proposed design method, wherein the robust performance of controller is exhibited despite the presence of actuator saturation and time-varying actuator faults. Highlights • Leader-following consensus is discussed for nonlinear multi-agent systems. • Interactions between the leader and the agents are assumed as undirected and fixed. • A fault-tolerant controller is proposed to solve the aforementioned problem. • Considered consensus problem is converted as stability problem of error system. [ABSTRACT FROM AUTHOR]

Abstract: The problem of reliable sampled‐data control design for uncertain singular fuzzy system with randomly occurring delay and nonlinear actuator failures is studied in this paper. The fault model is composed of two parts in which, linear part stands for the gain missing of actuators that vary with the true control input linearly, while the nonlinear part indicates some bounded nonlinear variation. Moreover, the time delay which encountering in the proposed controller is assumed to be randomly varying and satisfies Bernoulli distributed probabilities. By constructing a proper time‐dependent Lyapunov functional, some novel sufficient conditions are derived in terms of linear matrix inequalities (LMIs) for the existence of robustly stochastically stabilizing reliable sampled‐data controllers. Two simulation examples are given to demonstrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]

Abstract In this paper, we consider the reliable non-fragile H ∞ control design problem for a class of discrete-time interval-valued fuzzy systems with actuator faults. More precisely, the actuator fault model considered in the controller design consists of linear and nonlinear fault terms. The main focus of this paper is to design a non-fragile state feedback controller that is characterized by membership functions described by upper and lower membership functions and nonlinear weighting functions. It should be mentioned that the proposed interval-valued fuzzy system and the controller do not share same membership functions. A novel set of sufficient conditions is obtained by transforming the controller design problem into a multi-objective convex optimization problem based on the linear matrix inequality and the Lyapunov functional approaches, which ensures the robust asymptotic stability of the addressed system with a desired H ∞ performance index. Finally, two numerical examples, including an application-oriented model, mass-spring-damping system are presented to demonstrate the effectiveness of the proposed design technique. [ABSTRACT FROM AUTHOR]

This paper deals with the problem of finite-time fault-tolerant control design for a class of neutral systems subject to actuator saturation in which the time-varying delay appears in both the state and the state derivative. Specifically, this is the first attempt to consider the concept of finite-time stability for neutral systems under nonlinear fault-tolerant controller. In particular, the fault model which consists of both linear and nonlinear parts is implemented through the design of controller. By applying the Lyapunov technique and some integral inequalities, a set of sufficient conditions is derived in the form of linear matrix inequalities to ensure the finite-time stability of the addressed neutral systems. Finally, two numerical examples with simulation results are given to illustrate the effectiveness of the proposed method. [ABSTRACT FROM AUTHOR]