Regular Papers
International Journal of Control, Automation and Systems 2023; 21(3): 727-734
Published online February 11, 2023
https://doi.org/10.1007/s12555-021-1045-5
© The International Journal of Control, Automation, and Systems
Robust Output Feedback Control for One-sided Lipschitz Nonlinear Discrete-time Singular Markov Jump Systems with Dissipativity Constraints
The paper studies the existence and uniqueness of solutions, admissibility analysis and dissipative asynchronous output feedback control for one-sided Lipschitz (OSL) nonlinear discrete-time singular Markov jump systems (SMJSs) with external disturbances and parameter uncertainties. By using implicit function theorem, sufficient conditions are deduced to guarantee that OSL nonlinear discrete-time SMJSs are regular, causal, stochastically stable and have a unique solution with dissipative performance. With these conditions, the design of asynchronous output feedback controller is presented in form of linear matrix inequality (LMI) constraints. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
Keywords Asynchronous controller, dissipative control, one-sided Lipschitz condition, singular Markov jump systems.
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Regular Papers
International Journal of Control, Automation and Systems 2023; 21(3): 727-734
Published online March 1, 2023 https://doi.org/10.1007/s12555-021-1045-5
Copyright © The International Journal of Control, Automation, and Systems.
Robust Output Feedback Control for One-sided Lipschitz Nonlinear Discrete-time Singular Markov Jump Systems with Dissipativity Constraints
Hanyi Ding and Junchao Ren*
Northeastern University
Abstract
The paper studies the existence and uniqueness of solutions, admissibility analysis and dissipative asynchronous output feedback control for one-sided Lipschitz (OSL) nonlinear discrete-time singular Markov jump systems (SMJSs) with external disturbances and parameter uncertainties. By using implicit function theorem, sufficient conditions are deduced to guarantee that OSL nonlinear discrete-time SMJSs are regular, causal, stochastically stable and have a unique solution with dissipative performance. With these conditions, the design of asynchronous output feedback controller is presented in form of linear matrix inequality (LMI) constraints. Finally, simulation examples are provided to illustrate the effectiveness of the proposed approaches.
Keywords: Asynchronous controller, dissipative control, one-sided Lipschitz condition, singular Markov jump systems.
Vol. 23, No. 3, pp. 683~972
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