Shape-independent model predictive control for Takagi-Sugeno fuzzy systems

被引：15

作者：

Arino, Carlos ^{[1
]}

Querol, Andres ^{[1
]}

Sala, Antonio ^{[2
]}

机构：

[1] Univ Jaume 1, Dept Sistemas Ind & Diseno, Av Vicent Sos Baynat S-N, E-12071 Castellon de La Plana, Spain

[2] Univ Politecn Valencia, Inst U Automat & Informat Ind AI2, Cno Vera S-N, E-46022 Valencia, Spain

来源：

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE | 2017年 / 65卷

关键词：

Predictive control; Fuzzy control; Polya relaxations; GUARANTEED COST CONTROL; DISCRETE-TIME SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION; MPC; OPTIMIZATION; STABILITY; THEOREM; FORM;

D O I：

10.1016/j.engappai.2017.07.011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Predictive control of TS fuzzy systems has been addressed in prior literature with some simplifying assumptions or heuristic approaches. This paper presents a rigorous formulation of the model predictive control of TS systems, so that results are valid for any membership value (shape-independent) with a suitable account of causality (control can depend on current and past memberships and state). As in most fuzzy control results, a family of progressively better controllers can be obtained by increasing Polya-related complexity parameters, generalising over prior proposals. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：493 / 505

页数：13

共 41 条

[1] A Robust MPC for Input-Output LPV Models [J].

Abbas, Hossam S. ;

Toth, Roland ;

Meskin, Nader ;

Mohammadpour, Javad ;

Hanema, Jurre .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (12) :4183-4188

[2]

[Anonymous], 1994, LINEAR MATRIX INEQUA

[3]

[Anonymous], 2013, Advanced Textbooks in Control and Signal Processing

[4] Asymptotically exact stabilisationfor constrained discrete Takagi-Sugeno systems via set-invariance [J].

Arino, Carlos ;

Sala, Antonio ;

Perez, Emilio ;

Bedate, Fernando ;

Querol, Andres .

FUZZY SETS AND SYSTEMS, 2017, 316 :117-138

[5] Polytopic invariant and contractive sets for closed-loop discrete fuzzy systems [J].

Arino, Carlos ;

Perez, Emilio ;

Sala, Antonio ;

Bedate, Fernando .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2014, 351 (07) :3559-3576

[6] Guaranteed cost control analysis and iterative design for constrained Takagi-Sugeno systems [J].

Arino, Carlos ;

Perez, Emilio ;

Sala, Antonio .

ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2010, 23 (08) :1420-1427

[7] Robust stability analysis and fuzzy-scheduling control for nonlinear systems subject to actuator saturation [J].

Cao, YY ;

Lin, ZL .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2003, 11 (01) :57-67

[8] Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations [J].

Diehl, M ;

Bock, HG ;

Schlöder, JP ;

Findeisen, R ;

Nagy, Z ;

Allgöwer, F .

JOURNAL OF PROCESS CONTROL, 2002, 12 (04) :577-585

[9]

Ding B., 2009, DYNAM CONT DIS SER B, V11, P859

[10] Dynamic Output Feedback Predictive Control for Nonlinear Systems Represented by a Takagi-Sugeno Model [J].

Ding, Baocang .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (05) :831-843

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