Multi-objected Optimal Control Problem for Singularly Perturbed Systems Based on Passivity

被引：0

作者：

Liu Lei ^{[1
]}

Feng Zejin ^{[1
]}

Han Cunwu ^{[1
]}

机构：

[1] North China Univ Technol, Beijing Key Lab Fieldbus Technol & Automat, Beijing 100144, Peoples R China

来源：

PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016 | 2016年

关键词：

Singularly Perturbed Systems; Passivity; Multi-objected Optimal Control; State Feedback Control; Linear Matrix Inequality (LMI);

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the multi-objected optimal control problem for singularly perturbed systems based on passivity is considered. First, the problem of the asymptotically stability under passive performance constraint is studied in terms of Lyapunov stability theory. Second, a sufficient condition for the existence state feedback controller is presented, so that the resulting closed-loop system is asymptotically stable and passive. Furthermore, in light of the passive controller, the linear quadratic optimal control problem is constructed, in which the weight matrices of the performance index can be calculated. Finally, two numerical examples are provided to demonstrate the effectiveness and correctness of the proposed results.

引用

页码：2626 / 2630

页数：5

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