1. Guaranteed Cost Control for Interval Type-2 Fuzzy Semi-Markov Switching Systems Within a Finite-Time Interval
- Author
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Linchuang Zhang, Hongyi Li, Hak-Keung Lam, Jianxi Wang, Hou Dongchen, and Yonghui Sun
- Subjects
Flexibility (engineering) ,Computational Theory and Mathematics ,Markov chain ,Artificial Intelligence ,Control and Systems Engineering ,Control theory ,Computer science ,Applied Mathematics ,Stability (learning theory) ,Interval (mathematics) ,State (computer science) ,Fuzzy control system ,Fuzzy logic - Abstract
This paper focuses on the finite-time guaranteed cost (FTGC) control problem for interval type-2 (IT2) fuzzy semi-Markov switching systems (S-MSSs) with additive disturbances. Based on the IT2 fuzzy S-MSSs and the state feedback control method, a novel IT2 mode-dependent fuzzy GC controller is developed under the mismatched membership functions. Then, some new sufficient conditions are given to ensure that IT2 fuzzy S-MSSs are FT stochastically stable based on the designed IT2 mode-dependent fuzzy GC controller. Furthermore, the transition rates boundaries condition is relaxed, and a new incomplete transition rates boundaries model is constructed to reflect the transition rates information. With a view to both the incomplete transition rates boundaries and the actuator fault phenomenon, the improved stability criteria are provided to stabilize the IT2 fuzzy S-MSSs within a FT interval and determine the gains of the IT2 mode-dependent fuzzy GC controller, resulting in a much greater design flexibility. Distinct from the existing results, the presented FTGC control scheme is more suitable for many practical systems, because the IT2 fuzzy S-MSSs model which is more general compared with the traditional fuzzy system and S-MSSs is considered. Finally, three illustrative examples are offered to explain the effectiveness and feasibility of proposed FTGC control approach.
- Published
- 2022