A novel linear matrix inequality-based robust event-triggered model predictive control for a class of discrete-time linear systems

被引:6
|
作者
Hu, Yingjie [1 ]
Fan, Ding [1 ]
Peng, Kai [1 ]
Iu, Herbert Ho-Ching [2 ]
Zhang, Xinan [2 ]
机构
[1] Northwestern Polytech Univ, Sch Power & Energy, Xian 710072, Peoples R China
[2] Univ Western Australia, Sch Elect Elect & Comp Engn, Perth, WA, Australia
基金
中国国家自然科学基金;
关键词
discrete LTI system; dual‐ mode control; linear matrix inequality; Lyapunov‐ based stability; robust  event‐ triggered MPC; MPC; ALGORITHMS; STABILITY;
D O I
10.1002/rnc.5482
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper studies a linear matrix inequality (LMI)-based robust event-triggered model predictive control (ET-MPC) for a class of discrete linear time-invariant systems subject to bounded disturbances. In the presented robust event-triggered MPC, the event-triggered mechanism is first set by the deviation between the optimal state and actual state. In addition, the Lyapunov-based stability condition is employed in the constraints for simplifying parameters and enhancing the universality. Subsequently, a novel design framework that involves LMIs approach is developed. In such a framework, the Lyapunov weight matrix is predesigned by solving a convex optimization problem with LMIs and the infinite horizon MPC optimization problem is also transformed as LMIs such that the computational complexity is significantly reduced. To guarantee robust constraint satisfaction, a dual-mode control strategy is adopted. In this way, the proposed robust ET-MPC has the ability to deal with the constrained system. Furthermore, the theoretical analysis of the recursive feasibility and stability is provided. The numerical simulations and comparison studies demonstrate that the proposed robust ET-MPC not only has satisfying control performance but also significantly reduces the computational burden.
引用
收藏
页码:4416 / 4435
页数:20
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