Multi-Objective Optimal Control for Uncertain Singularly Perturbed Systems

被引：0
作者：
Liu, Lei [1 ]
Feng, Shaofan [1 ]
机构：
[1] North China Univ Technol, Beijing Key Lab Fieldbus Technol & Automat, Beijing 100144, Peoples R China
来源：
IEEE ACCESS | 2021年 / 9卷
基金：
中国国家自然科学基金;
关键词：
Optimization; Linear matrix inequalities; Performance analysis; State feedback; Stability criteria; Mathematical model; Symmetric matrices; Singularly perturbed system; robust control; multi-objective; optimization; LQ-control;
D O I：
10.1109/ACCESS.2021.3101211
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 the passive multi-objective optimal control of uncertain singularly perturbed systems. First, the uncertainty is described in a norm-bounded way, and then the state space model of the system is determined. Further time, the problem of passivity can also be transformed into a linear quadratic performance index problem. According to the Lyapunov stability theory, the system robust stability criterion is derived, based on the above conclusion, the corresponding parameterized passive multi-objective controller is designed using state feedback, and the weight matrix and the minimum performance index are solved based on the optimal control theory. Finally, a numerical example is given to illustrate the correctness and feasibility of the control method.
引用
收藏
页码：108340 / 108345
页数：6
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