Observer-based reliable control for switched systems with immeasurable states by the parallel triggering mechanism

• Published in: IET control theory & applications Vol. 14; no. 1; pp. 165 - 174
• Main Authors: Zhao, Jianrong, Liu, Wei, Lu, Junwei, Zhang, Dan
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 01.01.2020
• Subjects: actuator faults; actuators; asymptotic stability; Brief Paper; closed loop systems; control system synthesis; control tasks; dependent sampling interval; discrete time systems; error systems; immeasurable states; immeasurable system state; linear matrix inequalities; Lyapunov methods; mode‐dependent average; multiple switchings; nonlinear control systems; observer states; observers; observer‐based reliable control problem; parallel triggering mechanism; sampling controller modes; similar system performances; switched systems subject; system modes; time‐varying systems; triggering conditions; time-varying systems; error systems; observer states; similar system performances; triggering conditions; switched systems subject; asymptotic stability; actuators; linear matrix inequalities; immeasurable system state; multiple switchings; discrete time systems; actuator faults; control system synthesis; immeasurable states; system modes; control tasks; dependent sampling interval; mode-dependent average; closed loop systems; parallel triggering mechanism; nonlinear control systems; observer-based reliable control problem; sampling controller modes; observers; Lyapunov methods
• ISSN: 1751-8644; 1751-8652
• DOI: 10.1049/iet-cta.2018.5555

This study is concerned with the observer-based reliable control problem for switched systems subject to actuator faults via the parallel triggering mechanism. Exponential observers and error systems are constructed due to the immeasurable system state. Since system modes and sampling controller modes may be mismatched, no more than one switching and multiple switchings are both considered in one triggering dependent sampling interval. Combining the mode-dependent average dwell time technique with the parallel triggering mechanism, sampling controllers are designed to realise the reliable control for switched systems subject to actuator faults. By this mechanism, decay rates of observer states are added into triggering conditions; the execution number of control tasks is reduced with similar system performances in the meantime. At last, the effectiveness of proposed results is illustrated by a simulation example.