Delay-dependent robust control for singular discrete-time Markovian jump systems with time-varying delay

作者：Zhou, Wuneng; Lu, Hongqian^*; Duan, Chunmei; Li, Minghao

来源：International Journal of Robust and Nonlinear Control, 2010, 20(10): 1112-1128.

DOI：10.1002/rnc.1492

• Markovian jumping parameters
• uncertain singular discrete-time systems
• time-varying delay
• linear matrix inequality

The problem of delay-dependent robust stabilization for uncertain singular discrete-time systems with Markovian jumping parameters and time-varying delay is investigated. In terms of free-weighting-matrix approach and linear matrix inequalities, a delay-dependent condition is presented to ensure a singular discrete-time system to be regular, causal and stochastically stable based on which the stability analysis and robust stabilization problem are studied. An explicit expression for the desired state-feedback controller is also given. Some numerical examples are provided to demonstrate the effectiveness of the proposed approach.

• 出版日期2010-7-10
• 单位东华大学; 齐鲁工业大学; 山东师范大学