New Extended LMI Characterization for State Feedback Control of Continuous-Time Uncertain Linear Systems

被引：6
作者：
Rodrigues, Luis A. [1 ]
Oliveira, Ricardo C. L. F. [2 ]
Camino, Juan F. [1 ]
机构：
[1] Univ Campinas UNICAMP, Sch Mech Engn, BR-13083970 Campinas, SP, Brazil
[2] Univ Campinas UNICAMP, Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil
来源：
2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年
关键词：
STABILITY; DESIGN; REPRESENTATIONS;
D O I：
10.1109/ECC.2015.7330831
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 provides synthesis conditions of robust state feedback control law for continuous-time linear timeinvariant systems with polytopic uncertainty. By conveniently expressing the Lyapunov stability condition of the closed-loop system and using the elimination lemma, a new LMI synthesis condition with scalar searches is proposed. As main novelty, the scalar search is constrained to the interval (-1,1). Additionally, it is shown that the proposed relaxation contains the less conservative condition available in the literature as a particular case. Numerical examples illustrate the proposed approach.
引用
收藏
页码：1992 / 1997
页数：6
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