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.
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页数：7
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