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

页码：108340 / 108345

页数：6

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