Abstract
In this paper, we study the problem of interval-observer based controller design for switched linear systems with disturbance and measurement noise. First, we propose the definition of finite-time interval-observers for switched systems and construct finite-time interval-observers for switched linear systems with observer-state-dependent switching strategy by giving the ranges of the external disturbance and the measurement noise. Then, by using multiple Lyapunov functions method, some sufficient conditions are provided to guarantee the existence of the finite-time interval-observers under maximum constraints, and at the same time, based on the proposed sufficient conditions, the observer gains are given and the corresponding sliding motion issue is also solved. After that, we design an interval-observer-based feedback controller for the switched systems. Different from the traditional observer-based controller with state-dependent switching signal designed in most literatures, the controller designed in the paper is based on interval-observer with observer-state-dependent switching signal. Compared with the traditional observers, the interval-observers are robust to large uncertainties and can provide the ranges of the system states in any time. Finally, the feasibility of the proposed method is verified by two numerical examples.
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This work was supported by the National Natural Science Foundation of China under Grants 62273218, the National Key R&D Program of China under Grant 2018YFB1700100, and Funded Projects for the Academic Leaders and Academic Backbones, Shaanxi Normal University: 18QNGG005.
Chuanjing Wu is an M.S. candidate in Shaanxi Normal University, Xi’an, China. She received her B.S. degree in Weifang University in 2020. Her research interests include stability analysis and controllerdesign for switched systems.
Yue-E Wang received her M.S. degree from Shaanxi Normal University, Xi’an, China, in 2010, and a Ph.D. degree from Northeastern University, China, in 2014. She is currently an associate professor in School of Mathematics and Statistics, Xi’an, China. Her research interests include switched systems and time delay systems.
Di Wu received his B.S., M.S., and Ph.D. degrees from the Dalian University of Technology, Dalian, China, in 2006, 2012, and 2015, respectively. He was a Research Fellow at Rolls-Royce@NTU Corporate Lab in Nanyang Technological University, Singapore from 2015 to 2017. He is an associate professor with Dalian University of Technology. His research interests include networked control systems, event-triggered control, and industrial networks.
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Wu, C., Wang, YE. & Wu, D. Controller Design Based on Interval-observer for Switched Systems With Observer-state-dependent Switching. Int. J. Control Autom. Syst. 22, 902–911 (2024). https://doi.org/10.1007/s12555-022-0459-z
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DOI: https://doi.org/10.1007/s12555-022-0459-z