Finite-time asynchronous resilient observer design of a class of non-linear switched systems with time-delays and uncertainties

• Published in: IET control theory & applications 2020-04, Vol.14 (7), p.952-963
• Main Authors: Lyu, Xiaoxiao, Ai, Qilong, Yan, Zhiguo, He, Shuping, Luan, Xiaoli, Liu, Fei
• Format: Article
• Language: English
• Subjects: appropriate multiple Lyapunov–Krasovskii functions; asymptotic stability; asynchronous resilient observer design problem; augment system; average dwell‐time method; control system synthesis; delays; discrete time systems; finite‐time boundedness; given finite‐time interval; linear matrix inequalities; linear systems; Lyapunov methods; nonlinear switched systems; observers; Research Article; resilient observer design problems; switching law; switching systems (control); time asynchronous resilient observer design; time‐delays; time‐varying systems
• ISSN: 1751-8644; 1751-8652; 1751-8652
• DOI: 10.1049/iet-cta.2019.0941

The asynchronous resilient observer design problem for a class of non-linear switched systems with time-delays and uncertainties in a given finite-time interval is studied here. By constructing appropriate multiple Lyapunov–Krasovskii functions and applying the average dwell-time method, the switching law and the asynchronous resilient observer are designed to guarantee the finite-time boundedness of the augment system with a specified $H_{\infty }$H∞ performance. The resilient observer design problems can be derived to solve a set of linear matrix inequalities. A numerical simulation is employed to demonstrate the availability of the proposed methods.