Title: Interval observer based control via event-triggered scheme: from single harmonic oscillator to the coupled ones

Authors: Xiaoling Wang; Tianhang Ming; Yang Lou; Lin Wang

Addresses: Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China; College of Automation & AI, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China ' College of Automation & AI, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China ' Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China; Graduate School of Information Science and Technology, Osaka University, Osaka, 565-0871, Japan ' Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, 200240, China; Department of Automation, Shanghai Jiao Tong University, Shanghai, 200240, China

Abstract: This paper deals with the control for single harmonic oscillator system and the coordination control for coupled harmonic oscillators system with unknown additive disturbance and unknown initial states, which are together named the uncertainties, by using the event triggered information. With the boundary information of the uncertainties, an event-triggered interval observer is firstly constructed for the single harmonic oscillator system to realise the interval estimation of state and the robust control of the system. Then, another event-triggered distributed interval observer is constructed to accomplish the interval estimation on the state of each harmonic oscillator and the robust coordinated control of the coupled harmonic oscillator systems. Zeno behaviour can be ruled out for both the single harmonic oscillator and the coupled one. All the theoretical results are verified by numerical simulations.

Keywords: harmonic oscillator system; unknown additive disturbance; interval observer; unknown initial state; event-triggered; coupled harmonic oscillator system; positive system; Metzler matrix; Lyapunov stable; Zeno behaviour.

DOI: 10.1504/IJSCIP.2022.129583

International Journal of System Control and Information Processing, 2022 Vol.4 No.1, pp.68 - 90

Received: 09 Jul 2022
Accepted: 11 Dec 2022
Published online: 14 Mar 2023 *

Full-text access for editors Full-text access for subscribers Purchase this article Comment on this article