Finite-time Control for Discrete-time Markovian Jump Systems with Deterministic Switching and Time-delay

作者：Wen Jiwei^*; Peng Li; Nguang Sing Kiong

来源：International Journal of Control Automation and Systems, 2014, 12(3): 473-485.

DOI：10.1007/s12555-013-0397-x

• Average dwell time
• finite-time boundedness
• finite-time weighted l(2) gain
• switching dynamics Markovian jump linear system

In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l(2) gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l(2) gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.

• 出版日期2014-6
• 单位江南大学