Asynchronous Event-Triggered Output-Feedback Control of Singular Markov Jump Systems

• Published in: IEEE transactions on cybernetics Vol. 53; no. 11; pp. 1 - 11
• Main Authors: Tao, Yue-Yue, Wu, Zheng-Guang, Huang, Tingwen, Chakrabarti, Prasun, Ahn, Choon Ki
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01-11-2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Closed loops; Control systems; Control systems design; Event-triggered mechanism (ETM); Feedback control; Generators; hidden Markov model (HMM); Hidden Markov models; Linear matrix inequalities; Markov chains; Markov processes; Mathematical analysis; Mathematical models; Optimization; Output feedback; Performance indices; singular Markov jump systems (MJSs); Switches
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2022.3217197

This study focused on the asynchronous event-triggered output-feedback controller design problem for discrete-time singular Markov jump systems (MJSs). A hidden Markov model (HMM) was employed to estimate the system mode, which cannot always be ideally detected in practice. Because the full state is also difficult to obtain in practical scenarios, an output-feedback control scheme was used. In addition, an HMM-based event-triggered mechanism was also employed in the design of the controller to reduce the communication burden of the networked system. Sufficient conditions for the stochastic admissibility of a closed-loop singular MJS with a prescribed <inline-formula> <tex-math notation="LaTeX">H_{\infty}</tex-math> </inline-formula> performance index were established using the Lyapunov functional technique. Finally, design procedures for an asynchronous event-triggered controller were summarized as a linear-matrix-inequality-based optimization algorithm. Two examples were considered to verify the effectiveness of the asynchronous event-triggered output-feedback controller design method.