Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme
Abstract
:1. Introduction
- According to the event-triggered strategy, a sufficient criterion is deduced such that the closed-loop discrete-time singular Markov systems are finite-time bounded and satisfy performance based on a new Lyapunov–Krasovskii functional. By utilizing the augmented matrix methods, the system is also verified to be regular and causal.
- Based on martrix decomposition techniques, the corresponding event-triggered static output feedback controller synthesis algorithm is given explicitly in terms of a group of feasible linear matrix inequalities.
- The presented approach is capable to the event-triggered finite-time controller and filter analysis and design for discrete-time singular systems. Finally, an application to DC-motor is used to demonstrate the effectiveness of the presented method.
2. Problem Formulation
3. Results
3.1. Stochastic Finite-Time Boundedness
3.2. Stochastic Finite-Time Boundedness with Performance
3.3. Controller Synthesis
4. Numerical Examples
5. Conclusions
Author Contributions
Funding
Conflicts of Interest
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1.05 | 1.15 | 1.20 | |
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0.8313 | 0.6625 | 0.6251 |
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Ji, X.; Yan, X. Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme. Math. Comput. Appl. 2023, 28, 1. https://doi.org/10.3390/mca28010001
Ji X, Yan X. Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme. Mathematical and Computational Applications. 2023; 28(1):1. https://doi.org/10.3390/mca28010001
Chicago/Turabian StyleJi, Xiaofu, and Xueqing Yan. 2023. "Finite-Time Static Output-Feedback H∞ Control for Discrete-Time Singular Markov Jump Systems Based on Event-Triggered Scheme" Mathematical and Computational Applications 28, no. 1: 1. https://doi.org/10.3390/mca28010001