Robust model predictive control for switched linear systems

被引：28
作者：
Esfahani, Peyman Sindareh [1 ]
Pieper, Jeffrey Kurt [1 ]
机构：
[1] Univ Calgary, Dept Mech & Mfg Engn, Schulich Sch Engn, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
来源：
ISA TRANSACTIONS | 2019年 / 89卷
关键词：
Robust model predictive control; Switched linear systems; Linear fractional transformation; Linear matrix inequality; STATE-FEEDBACK CONTROL; H-INFINITY CONTROL; TIME-DELAY; STABILITY; STABILIZABILITY; DESIGN; STABILIZATION; PERFORMANCE; MPC;
D O I：
10.1016/j.isatra.2018.12.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Developed is a robust model predictive control scheme for a class of discrete-time switched linear systems. The system is described in linear fractional transformation form in the presence of model uncertainty and induced norm bounded disturbances. The objective is to minimize the upper bound of an infinite horizon cost function subject to a terminal inequality. A Lyapunov function analysis for the switched system shows guaranteed closed-loop stability. Taking into account the switching structure of the system, the predictive control design problem along with sufficient conditions for the existence of a solution is expressed in terms of Riccati-Metzler inequalities. Then, these inequalities are turned into a linear matrix inequality feasibility problem. Three cases are analyzed to demonstrate the performance and effectiveness of the proposed robust model predictive controller for switched discrete-time linear systems. (C) 2018 ISA. Published by Elsevier Ltd. All rights reserved.
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页码：1 / 11
页数：11
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