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Summary: In this article, the decentralized repetitive tracking controller design for fractional‐order large‐scale Takagi–Sugeno fuzzy system with time delays is developed. We mainly focus on the design of a decentralized repetitive tracking controller based on the Lyapunov stability theory, by which the addressed large‐scale system asymptotically stabilized with H∞$$ {H}_{\infty } $$ performance index. Further, the repetitive control with quantized signal is developed to ensure the good tracking performance with the presence of interconnected model and external disturbances. Specifically, a logarithmic quantizer is used to quantify the control signal which can reduce the data transmission rate in the network. Finally, a numerical example is presented to verify the effectiveness of the proposed controller design technique. [ABSTRACT FROM AUTHOR]

This paper investigates the problem of designing a decentralized static output feedback control for a class of large‐scale interconnected discrete‐time systems with quantized signals and time‐varying actuator faults wherein the control input is quantized by means of logarithmic quantizer to avoid chattering. Based on Lyapunov stability theory together with the improved reciprocally convex approach, sufficient conditions are derived in terms of linear matrix inequalities. Specifically, with the aid of cone complementarity linearization technique, the control law is derived which ensures the asymptotic stabilization of considered system with prescribed H∞ performance index and also guarantees optimum cost bound in spite of quantization and fault occurs. Finally, numerical examples are provided to demonstrate the significance of the designed control method. [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]