Synchronisation of stochastic T–S fuzzy multi-weighted complex dynamical networks with actuator fault and input saturation

• Published in: IET control theory & applications Vol. 14; no. 14; pp. 1957 - 1967
• Main Authors: Sakthivel, Rathinasamy, Sakthivel, Ramalingam, Kwon, Oh-Min, Selvaraj, Palanisamy
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 24.09.2020
• Subjects: actuator fault; actuator saturation function; actuators; asymptotic stability; complex networks; control system synthesis; delays; desired synchronisation performance; exponential synchronisation problem; fault tolerant control; fault‐tolerant controller; input saturation; input saturations; linear matrix inequalities; Lyapunov methods; Lyapunov–Krasovskii functional approach; multiweighted complex dynamical networks; multiweighted stochastic fuzzy complex dynamical networks; networks model; Research Article; stability; stochastic stability theory; stochastic systems; stochastic T–S fuzzy multiweighted; sufficient conditions; synchronisation; time‐varying actuator faults; complex networks; asymptotic stability; exponential synchronisation problem; sufficient conditions; actuators; linear matrix inequalities; stochastic stability theory; stochastic systems; stability; actuator fault; Lyapunov–Krasovskii functional approach; control system synthesis; input saturations; synchronisation; fault-tolerant controller; desired synchronisation performance; time-varying actuator faults; multiweighted complex dynamical networks; delays; input saturation; stochastic T–S fuzzy multiweighted; networks model; multiweighted stochastic fuzzy complex dynamical networks; actuator saturation function; Lyapunov methods; fault tolerant control
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2019.1267

This study is concerned with the exponential synchronisation problem of multi-weighted stochastic fuzzy complex dynamical networks subject to time-varying actuator faults and input saturations. Subsequently, based on the Lyapunov–Krasovskii functional approach and stochastic stability theory, a fault-tolerant controller with actuator saturation function is designed for achieving the desired synchronisation performance. Precisely, some novel sufficient conditions are developed in the form of linear matrix inequalities to guarantee the synchronisation of the considered networks model. Specifically, it is shown that the states of the multi-weighted complex dynamical networks exponentially synchronised to a reference state in the mean-square sense through the developed control scheme. Finally, two numerical simulations including Chua's circuit model are given to show the applicability and effectiveness of the developed theoretical results.