Robust non-fragile guaranteed cost control for singular Markovian jump time-delay systems

Author:

Liu Guobao1,Wei Yunliang2,Ma Qian1,Lu Junwei3,Chu Yuming4

Affiliation:

1. School of Automation, Nanjing University of Science and Technology, China

2. School of Mathematical Sciences, Qufu Normal University, China

3. School of Electrical and Automation Engineering, Nanjing Normal University, China

4. School of Science, Huzhou Teachers College, China

Abstract

This paper deals with the problem of robust non-fragile guaranteed cost control for a class of uncertain singular Markovian jump systems with time-varying delays. The time-varying and norm-bounded parameter uncertainties exist in both the state matrix and the derivative matrix. A non-fragile proportional-derivative state feedback controller is designed to guarantee the closed-loop singular Markovian jump system is normal and robustly stochastically stable. By proposing an optimization strategy in the framework of linear matrix inequalities, the upper bound of the cost function can be minimized. Finally, a numerical example is given to demonstrate the effectiveness of the results.

Funder

Postdoctoral Science Foundation of China

Natural Science Foundation of Shandong Province

Fundamental Research Funds for the Central Universities of China

Natural Science Foundation of Jiangsu Province

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Instrumentation

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