Robust Reset Controller Design for Switched Nonlinear Uncertain Systemsopen access
- Authors
- Jeong, Seongcheol; Ban, Jaepil
- Issue Date
- Dec-2022
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Impulsive switched systems; L-2-stability; linear matrix inequality; linear matrix inequality; nonlinear uncertain systems; reset control systems
- Citation
- IEEE ACCESS, v.10, pp 129382 - 129393
- Pages
- 12
- Journal Title
- IEEE ACCESS
- Volume
- 10
- Start Page
- 129382
- End Page
- 129393
- URI
- https://scholarworks.bwise.kr/kumoh/handle/2020.sw.kumoh/21463
- DOI
- 10.1109/ACCESS.2022.3228245
- ISSN
- 2169-3536
- Abstract
- This paper presents a design of a robust switching reset controller for a class of nonlinear uncertain switched systems. We consider the norm-bounded time-varying parameter uncertainties in switched nonlinear systems obeyed by the average dwell-time switching signal. The proposed switching reset controller uses the measured output in resetting the controller's states, whereas the previous studies did not. A weighted mixed L-2/l(2) -gain is introduced to take into account the discrete disturbances induced by the measured output when resetting the controller's states. The proposed reset controller and switched nonlinear uncertain plant form a closed-loop system that is a class of nonlinear impulsive switched uncertain systems. Hence, we first provide sufficient conditions for the L-2 stability of the nonlinear impulsive switched uncertain systems. Based on the conditions, we propose linear matrix inequality (LMI)-based design conditions to choose the dynamic output feedback control and output feedback reset laws guaranteeing the weighted mixed L-2/l(2) -gain performance of the controlled systems with continuous and discrete disturbances. Numerical examples demonstrate the effectiveness of the proposed method.
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