Adaptive control of linear Markov jump systems

作者：Cheng Daizhan; Zhang Lijun^*

来源：International Journal of Systems Science, 2006, 37(7): 477-483.

DOI：10.1080/00207720600752608

• switched system
• common quadratic Lyapunov function
• linear Markov jump system
• adaptive control

Stabilization of linear Markov jump systems via adaptive control is considered in this paper. The switching law is assumed to be unobservable Markov process. A sufficient condition is obtained for the stochastic stabilizability based on common quadratic Lyapunov functions (QLFs). The constructive proof provides a method to construct a sampling adaptive stabilizer. An example is used to describe the design of adaptive control, which stabilizes the system.

• 出版日期2006-6-10
• 单位哈尔滨工程大学