Fuzzy regional pole placement based on fuzzy Lyapunov functions

被引：8

作者：

Bai, Jianjun ^{[1
]}

Lu, Renquan ^{[1
]}

Liu, Xia ^{[2
]}

Xue, Anke ^{[1
]}

Shi, Zhonghua ^{[3
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Informat Sci & Control, Key Lab IOT & Informat Fus Technol Zhejiang, Hangzhou 310018, Peoples R China

[2] PetroChina, Res Inst Liaoyang Petrochem Co, Beijing, Peoples R China

[3] China Petr Longhui Automat Engn Co Ltd, Langfang, Peoples R China

来源：

NEUROCOMPUTING | 2015年 / 167卷

基金：

中国国家自然科学基金;

关键词：

Fuzzy system; Pole placement; LMI region; Fuzzy Lyapunov function; D-STABILITY CONSTRAINTS; FEEDBACK CONTROL DESIGN; CONTROL-SYSTEM DESIGN; DYNAMIC-SYSTEMS; CONTROLLER SYNTHESIS; STOCHASTIC-SYSTEMS; NONLINEAR-SYSTEMS; SINGULAR SYSTEMS; STABILIZATION;

D O I：

10.1016/j.neucom.2015.04.047

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper studies the regional pole placement problem for a class of T-S fuzzy systems. Firstly, a definition for the fuzzy systems to be D stable is given from the viewpoint of Lyapunov functions. Then a new sufficient condition is proposed to guarantee all the poles of the fuzzy systems located within a prescribed LMI region by using the fuzzy Lyapunov functions method and introducing some free matrices. And then the controller design approach is given by solving a set of LMIs. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach. (C) 2015 Elsevier B.V. All rights reserved.

引用

页码：467 / 473

页数：7

共 39 条

[1] Ahn CK, 2013, INT J INNOV COMPUT I, V9, P2979
[2] H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints:: An LMI approach
Assawinchaichote, Wudhichai
Nguang, Sing Kiong
Shi, Peng
Boukas, El-Kebir
[J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 78 (04) : 514 - 531
[3] Analysis and design for a class of complex control systems .2. Fuzzy controller design
Cao, SG
Rees, NW
Feng, G
[J]. AUTOMATICA, 1997, 33 (06) : 1029 - 1039
[4] H infinity design with pole placement constraints: An LMI approach
Chilali, M
Gahinet, P
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (03) : 358 - 367
[5] Derakhshan SF, 2014, INT J INNOV COMPUT I, V10, P1567
[6] H∞ controller synthesis of fuzzy dynamic systems based on piecewise lyapunov functions and bilinear matrix inequalities
Feng, G
Chen, CL
Sun, D
Zhu, Y
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (01) : 94 - 103
[7] Stable fuzzy control system design with pole-placement constraint: an LMI approach
Hong, SK
Nam, Y
[J]. COMPUTERS IN INDUSTRY, 2003, 51 (01) : 1 - 11
[8] An improved LMI condition for robust D-stability of uncertain polytopic systems
Leite, VJS
Peres, PLD
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (03) : 500 - 504
[9] Fuzzy-Model-Based D-Stability and Nonfragile Control for Discrete-Time Descriptor Systems With Multiple Delays
Li, Fanbiao
Shi, Peng
Wu, Ligang
Zhang, Xian
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2014, 22 (04) : 1019 - 1025
[10] Control of Nonlinear Networked Systems With Packet Dropouts: Interval Type-2 Fuzzy Model-Based Approach
Li, Hongyi
Wu, Chengwei
Shi, Peng
Gao, Yabin
[J]. IEEE TRANSACTIONS ON CYBERNETICS, 2015, 45 (11) : 2378 - 2389

← 1 2 3 4 →