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PD Observer Design for Descriptor Systems: An LMI Approach
Junchao Ren,Qingling Zhang 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.4
This paper investigates the problem of proportional-derivative (PD) observer design for descriptor systems. A necessary and sufficient condition for the solvability of this problem is obtained in terms of a linear matrix inequality (LMI). The explicit expression of desired PD observer is also given, which involves solving an LMI. An illustrative example is provided to demonstrate the effectiveness of the proposed approach.
Hanyi Ding,Junchao Ren 제어·로봇·시스템학회 2023 International Journal of Control, Automation, and Vol.21 No.3
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.
Qingling Zhang,Hui Lv,Junchao Ren 제어·로봇·시스템학회 2016 International Journal of Control, Automation, and Vol.14 No.4
This paper deals with the problem of robust normalization and delay-dependent H∞ control for a classof singular Markovian jump systems with norm-bounded parameter uncertainties and time delay. A new impulsiveand proportional-derivative control strategy with memory is presented, which results in a novel class of hybridimpulsive systems. Sufficient conditions are developed to guarantee that the resultant closed-loop system is notonly robust normal and stochastically stable, but also satisfies a prescribed H¥ performance level for all delays nolarger than a given upper bound. In addition, the explicit expression of the desired impulsive control gains is alsogiven together with the design approach. Finally, two numerical examples are provided to illustrate the effectivenessof the proposed methods.