Robust Polytopic Invariant Sets for Discrete Fuzzy Control Systems

被引：1

作者：

Arino, Carlos ^{[1
]}

Perez, Emilio ^{[1
]}

Bedate, Fernando ^{[1
]}

Sala, Antonio ^{[2
]}

机构：

[1] Univ Jaume 1, D Ingn Sistemas Ind & Diseno, Ave Vicent Sos Baynat S-N, Castellon de La Plana 12071, Spain

[2] Univ Politecn Valencia, Inst Univ Automat Informat Ind, Valencia 46022, Spain

来源：

2013 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ - IEEE 2013) | 2013年

关键词：

Discrete Takagi-Sugeno Fuzzy Models; Invariant sets; Contractive sets and Robust Stability; LINEAR-SYSTEMS;

D O I：

10.1109/FUZZ-IEEE.2013.6622407

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

TS fuzzy models are exact representations of nonlinear systems in a compact zone (sector nonlinearity). Once a controller is found by Lyapunov methods, determining the set of initial conditions such that the state does not leave the modelling region is an important problem to be solved. Also, determining the set to which the disturbances will steer the system is also necessary to ensure that the size of the modelling region has been correctly estimated. This paper proposes polytopic approximation to such sets based in algorithms from [1]. A Polya-based approach has been introduced in order to (conservatively) transform the nonlinear invariant set problem into a polytopic one.

引用

页数：7

共 50 条

[41] Robust invariant sets for constrained storage systems
Borrelli, Francesco
Del Vecchio, Carmen
Parisio, Alessandra
AUTOMATICA, 2009, 45 (12) : 2930 - 2936
[42] Construction of invariant polytopic sets with specified complexity
Athanasopoulos, Nikolaos
Bitsoris, George
Lazar, Mircea
INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (08) : 1681 - 1693
[43] Invariant and attractor sets for fuzzy dynamical systems
Cecconello, M. S.
Leite, J.
Bassanezi, R. C.
Brandao, A. J. V.
FUZZY SETS AND SYSTEMS, 2015, 265 : 99 - 109
[44] Robust Invariant Sets and Active Mode Detection for Discrete-time Uncertain Descriptor Systems
Wang, Ye
Olaru, Sorin
Valmorbida, Giorgio
Puig, Vicenc
Cembrano, Gabriela
2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
[45] Robust output feedback control for polytopic linear systems
Dong, Jiuxiang
Yang, Guang-Hong
2006 9TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1- 5, 2006, : 1882 - +
[46] Robust preview tracking control for polytopic uncertain systems
Takaba, K
PROCEEDINGS OF THE 37TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 1998, : 1765 - 1770
[47] Robust preview tracking control for polytopic uncertain systems
Takaba, Kiyotsugu
Proceedings of the IEEE Conference on Decision and Control, 1998, 2 : 1765 - 1770
[48] On improvement of robust stability conditions for discrete-time polytopic systems
Lam, James
Xu, Shengyuan
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2007, 14 (02): : 301 - 308
[49] Delay-Dependent Robust H Control for Discrete Systems with Time-Delay and Polytopic Uncertainty
Sun, Man
Gu, Zhenpu
Peng, L. I. N.
2010 AMERICAN CONTROL CONFERENCE, 2010, : 5789 - 5793
[50] Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems
Lan, Yong-Hong
Xia, Jun-Jun
Shi, Yue-Xiang
ALGORITHMS, 2019, 12 (01)

← 1 2 3 4 5 →