Observer-based event-triggered control for continuous-time switched linear parameter-varying systems

• Published in: Transactions of the Institute of Measurement and Control 2024-02, Vol.46 (3), p.472-481
• Main Authors: Lv, Jiaxiao, Wang, Yue-E, Wu, Di
• Format: Article
• Language: English
• Subjects: Algorithms; Closed loops; Control systems design; Controllers; Dwell time; Event triggered control; Feedback control; Noise measurement; Nonlinear systems; Parameters; Sampling; Switching sequences; Time delay systems
• ISSN: 0142-3312; 1477-0369
• DOI: 10.1177/01423312231175945

This paper researches the interval observer–based event-triggered control of switched linear parameter-varying (LPV) systems, which involve unknown external disturbance and measurement noise. First, we offer an event-triggering condition and a controller which are correlated with state estimations. Then, by analyzing the relationship between switching sequences and sampling sequences, we model the resulting systems as switched time-delay systems. It deserves to note that the mismatches of the switching signal for the controllers and the systems may occur due to the sampling of switching signal. Using the merging switching signal technique and the multiple Lyapunov–Krasovskii functional method, and thinking over both synchronous and asynchronous switching of the systems and the controllers, we acquire relevant conditions which are used to realize the stability of the whole switched LPV closed-loop systems under the mode-dependent average dwell time (MDADT) switching. Next, we give a specific algorithm to design the controller gains. Finally, a numerical example is provided to verify the superiority of the outcomes.