Journal
IEEE ACCESS
Volume 10, Issue -, Pages 129382-129393Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/ACCESS.2022.3228245
Keywords
Impulsive switched systems; L-2-stability; linear matrix inequality; linear matrix inequality; nonlinear uncertain systems; reset control systems
Categories
Funding
- National Research Foundation of Korea (NRF) - Korean Government through the Ministry of Science and ICT (MSIT) [NRF-2022R1G1A1006262]
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This paper presents a design of a robust switching reset controller for a class of nonlinear uncertain switched systems. The proposed method utilizes measured output for resetting controller states and introduces a weighted mixed L-2/l(2) -gain to account for disturbances induced by the measured output.
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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