Work

SMC for Discrete 2‐D Markov Switching Systems: Genetic Algorithm

Year: 2024

Type: article

Abstract: ABSTRACT The sliding mode control (SMC) strategy based on genetic algorithm is proposed for discrete two‐dimensional (2‐D) Markov switching systems with the Roesser model. By means of common 2‐D sliding surface, the 2‐D SMC law is designed for the underlying system. According to Lyapunov stability criteria, sufficient conditions are established for the asymptotic mean‐square stability of the underlying 2‐D Markov switching systems and the reachability of the sliding region is guaranteed. Utilizing an iteration optimizing algorithm, an effective SMC strategy under genetic algorithm is constructed to minimize the sliding region by searching an ideal sliding gain. Finally, the applicability of the proposed 2‐D SMC strategy is verified through an example.

Source: International Journal of Robust and Nonlinear Control

DOI: 10.1002/rnc.7702

Authors: Shaowei Li, Wenhai Qi, Ju H. Park, Jun Cheng, Kaibo Shi

Institutions: Qufu Normal University, Yeungnam University, Guangxi Normal University, Chengdu University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Research Foundation, National Natural Science Foundation of China, National Research Foundation of Korea, Ministry of Science and ICT, South Korea