Title :
Non-fragile finite-time control for continuous-time nonlinear systems based on T-S fuzzy model
Author :
Zhang, Lei ; Gao, Hui-Juan ; Yang, Dedong ; Zhang, Kun
Author_Institution :
Sch. of Control Sci. & Eng., Hebei Univ. of Technol., Tianjin, China
Abstract :
In this paper, the non-fragile finite-time control problem of continuous-time nonlinear systems is considered based on T-S fuzzy model. The definition on finite-time stability (FTS) for continuous-time nonlinear systems is provided and the state feedback controller is also designed. Two types of uncertainties which perturb the gains of control are considered. Sufficient conditions are derived in terms of linear matrix inequities (LMIs), which guarantee FTS for the whole closed-loop controlled system. A numerical example shows the validity of the proposed scheme.
Keywords :
closed loop systems; continuous time systems; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; state feedback; FTS; LMI; T-S fuzzy model; closed-loop controlled system; continuous-time nonlinear systems; finite-time stability; linear matrix inequities; nonfragile finite-time control; state feedback controller; Asymptotic stability; Control systems; Linear matrix inequalities; Nonlinear systems; Numerical stability; Stability analysis; Symmetric matrices; Finite-time stability; Fuzzy control; State feedback;
Conference_Titel :
Control and Decision Conference (CCDC), 2012 24th Chinese
Conference_Location :
Taiyuan
Print_ISBN :
978-1-4577-2073-4
DOI :
10.1109/CCDC.2012.6244613
