Asynchronous H∞ control for hidden singular Markov jump systems with incomplete transition probabilities via state decomposition approach

Highlights：

• State decomposition method is employed to design a novel augmented LKF with the components of state vectors x1(t). Unlike the past results which considering the higher dimensional state vector x(t), the novel technology has less computational demands, which is demonstrated in Example 2.

• PDRCMI is introduced to deal with the single integral in the derivative of the LKF, which can reduce conservatism without adding extra decision variables.

摘要

•In this paper, the asynchronous phenomenon between the system mode and the controller mode are fully considered by using HMM. Besides, the TPs need not exactly known, thus a more practical potential strategy is obtained.•State decomposition method is employed to design a novel augmented LKF with the components of state vectors x1(t). Unlike the past results which considering the higher dimensional state vector x(t), the novel technology has less computational demands, which is demonstrated in Example 2.•PDRCMI is introduced to deal with the single integral in the derivative of the LKF, which can reduce conservatism without adding extra decision variables.

论文关键词：Hidden singular Markov jump systems (HSMJSs),Asynchronous control,State decomposition approach,Incomplete transition probabilities,Hidden Markov model (HMM)

论文评审过程：Received 9 November 2020, Revised 4 February 2021, Accepted 13 April 2021, Available online 9 May 2021, Version of Record 9 May 2021.