Asynchronous mixed H∞ and passive control for fuzzy singular delayed Markovian jump system via hidden Markovian model mechanism

Highlights：

• The issue of asynchronous control with mixed H∞ and passivity performance is extended to T-S fuzzy SDMJS via HMM mechanism and PDC technique.

• The controller designed in this paper is more general, which can be transformed into some special cases, including mode-independent H∞ control, synchronous H∞ control, mode-independent passive control and synchronous passive control.

摘要

•By constructing a delay-dependent and mode-dependent L-K functional which is utilized to avoid difficulties caused by singular matrix in derivation, new criteria are derived to guarantee that the fuzzy SDMJS is stochastically admissible with a mixed H∞ and passivity performance level.•The issue of asynchronous control with mixed H∞ and passivity performance is extended to T-S fuzzy SDMJS via HMM mechanism and PDC technique.•The controller designed in this paper is more general, which can be transformed into some special cases, including mode-independent H∞ control, synchronous H∞ control, mode-independent passive control and synchronous passive control.

论文关键词：Asynchronous control,Fuzzy singular markovian jump system,Hidden markovian model,Mixed H∞ and passivity,Parallel distributed compensation technique

论文评审过程：Received 7 November 2021, Revised 2 April 2022, Accepted 13 May 2022, Available online 18 May 2022, Version of Record 18 May 2022.