J4 ›› 2013, Vol. 48 ›› Issue (7): 93-100.

• Articles • Previous Articles     Next Articles

Static output feedback stabilization for a class of nonlinear discrete-time descriptor Markov jump systems

CHEN Nai-xun1, MA Shu-ping2*   

  1. 1. Shandong Xietong Communication Technology Limited Company, Jinan 250002, Shandong, China;
    2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
  • Received:2013-01-24 Published:2013-12-03

Abstract:

The static output feedback stabilization problem for a class of nonlinear discrete-time descriptor Markov jump systems is investigated. The nonlinear function satisfies a quadratic constraint. First, a linear matrix inequality (LMI) sufficient condition is given which guarantees that the nonlinear discrete-time descriptor Markov jump systems are regular, causal, have unique solution in a neighborhood of the origin, and are stochastically stable. Then, based on singular value decomposition approach, the design method of static output feedback controllers is given. Last, a numerical example is provided to illustrate the effectiveness of the proposed method.

Key words: discrete-time descriptor Markov jump system; nonlinear; static output feedback stabilization; linear matrix inequality (LMI)

CLC Number: 

  • TP13
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