Title :
A new design method of H∞ state feedback gain-scheduling controller for T-S fuzzy systems
Author :
Yang Liu ; Xiaojun Ban ; Xianlin Huang
Author_Institution :
Center for Control Theor. & Guidance Technol., Harbin Inst. of Technol., Harbin, China
Abstract :
In this article, a new systematic synthesis method is proposed to design a full state feedback gain-scheduling controller for Takagi-Sugeno (T-S) fuzzy plants. Both the stability and H∞ performance of the closed-loop system are considered. More specifically, by using the information that the degree of membership function is constrained within the interval [0, 1], the T-S fuzzy plant is transformed into the form of linear fractional transformation (LFT). Within the framework of LFT, the problem of stability and H∞ performance for the T-S fuzzy system can be reformulated into a convex optimization problem which can be approached by solving a set of linear matrix inequalities. A numerical example is provided to illustrate the effectiveness of the proposed method.
Keywords :
H∞ control; closed loop systems; control system synthesis; convex programming; fuzzy control; linear matrix inequalities; scheduling; stability; state feedback; H∞ state feedback gain-scheduling controller design; LFT; T-S fuzzy systems; Takagi-Sugeno fuzzy plants; closed-loop system; convex optimization problem; linear fractional transformation; linear matrix inequalities; membership function; stability; Closed loop systems; Fuzzy systems; Linear matrix inequalities; Numerical stability; PD control; Stability analysis; State feedback;
Conference_Titel :
Mechatronics and Control (ICMC), 2014 International Conference on
Print_ISBN :
978-1-4799-2537-7
DOI :
10.1109/ICMC.2014.7231554
