Robust Finite-Time H∞ Control of a Class of Disturbed Systems using Lmi-Based Approach

被引：10
|
作者：
Zhang, Xiaoyu [1 ]
Zhong, Jihong [1 ]
Zhang, Quan [1 ]
Ma, Kemao [1 ]
机构：
[1] Harbin Engn Univ, Coll Automat, Harbin, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2017年 / 19卷 / 02期
基金：
黑龙江省自然科学基金; 中国国家自然科学基金;
关键词：
Finite-time boundedness; H control; robust control; linear matrix inequalities (lmis); uncertain systems; STOCHASTIC NONLINEAR-SYSTEMS; LINEAR-SYSTEMS; OUTPUT-FEEDBACK; FUZZY CONTROL; SUFFICIENT CONDITIONS; DELAY SYSTEMS; STABILITY; STABILIZATION; SUBJECT; DESIGN;
D O I：
10.1002/asjc.1381
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 definition of robust finite-time H control is presented for a class of disturbed systems. Time-varying norm-bounded exogenous disturbance is considered in the system. A state feedback controller is designed, via a Linear Matrix Inequalities (LMIs) approach, which ensures that the closed-loop system is finite-time bounded (FTB) and reduces the effect of the disturbance input on the controlled output to a prescribed level. The main result, derived by Lyapunov functions, is a sufficient condition for FTB of disturbed systems and the sufficient condition can be reduced to a feasibility problem involving LMIs. Then a DC motor position control problem is simulated as a demonstration for this study. Simulation results are presented to show the effectiveness of the proposed method as a promising approach for controlling similar disturbed systems.
引用
收藏
页码：575 / 586
页数：12
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