Adaptive Event-Triggered SMC for Stochastic Switching Systems With Semi-Markov Process and Application to Boost Converter Circuit Model

• Published in: IEEE transactions on circuits and systems. I, Regular papers Vol. 68; no. 2; pp. 786 - 796
• Main Authors: Qi, Wenhai, Zong, Guangdeng, Zheng, Wei Xing
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.02.2021; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive systems; Boost converter circuit; Circuit design; Circuit stability; Communication; Communications systems; Converters; Data transmission; event-triggered communication; Feedback control; Markov analysis; Markov processes; Mathematical models; Parameter uncertainty; semi-Markov switching systems; Sliding mode control; Stability; Stability criteria; Stochastic processes; Switched mode power supplies; Switches; Switching; Switching systems; Time dependence; Transducers
• ISSN: 1549-8328; 1558-0806
• DOI: 10.1109/TCSI.2020.3036847

In this article, the sliding mode control (SMC) design is studied for a class of stochastic switching systems subject to semi-Markov process via an adaptive event-triggered mechanism. Network-induced communication constraints, semi-Markov switching parameters, and uncertain parameters are considered in a unified framework for the SMC design. Due to the constraint of measuring transducers, the system states always appear with unmeasurable characteristic. Compared with the traditional event-triggered mechanism, the adaptive event-triggered mechanism can effectively reduce the number of triggering than the static event-triggered mechanism. During the data transmission of network communication systems, network-induced delays are characterized from the event trigger to the zero-order holder. The aim of this work is to design an appropriate SMC law based on an adaptive event-triggered communication scheme such that the resulting closed-loop system could realize stochastic stability and reduce communication burden. By introducing the stochastic semi-Markov Lyapunov functional, sojourn-time-dependent sufficient conditions are established for stochastic stability. Then, a suitable SMC law is designed such that the system state can be driven onto the specified sliding surface in a finite-time region. Finally, the simulation study on boost converter circuit model (BCCM) illustrates the effectiveness of the theoretical findings.