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| Content Provider | IET Digital Library |
|---|---|
| Author | Zhao, Yanbin Lam, Hak Keung Song, Ge Yin, Xunhe |
| Abstract | This study presents a new approach for stability analysis of polynomial-fuzzy-model-based (PFMB) control system using membership function information. For the purpose of extracting the regional information of the membership functions, the operating domain is partitioned into several sub-domains. In each sub-domain, the boundaries of every single membership function overlap term and the numerical relation among all the membership function overlap terms are represented as a group of inequalities. Through the S-procedure, the regional membership function information is taken into account in the stability analysis to relax the stability conditions. The operating domain partition scheme naturally arises the motivation of constructing the PFMB control system with the sub-domain fuzzy controllers. Each polynomial fuzzy controller works in its corresponding sub-domain such that the compensation capability of controller is enhanced. The sum-of-squares (SOS) approach is proposed to obtain the stability conditions of the PFMB control system using the Lyapunov stability theory. The PFMB control system studied in this study has the feature that the number of fuzzy rules and the membership function shapes of the polynomial fuzzy controller can be designed independently from the polynomial fuzzy model. To verify the stability analysis result, a numerical example is given to demonstrate the validity of the proposed method. |
| Starting Page | 1493 |
| Ending Page | 1502 |
| Page Count | 10 |
| ISSN | 17518644 |
| Volume Number | 11 |
| e-ISSN | 17518652 |
| Issue Number | Issue 10, Jun (2017) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/11/10 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0913 |
| Journal | IET Control Theory & Applications |
| Publisher | The Institution of Engineering and Technology |
| Publisher Date | 2017-03-02 |
| Access Restriction | Open |
| Rights License | Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0/) |
| Subject Keyword | Combinatorial Mathematics Control System Analysis Control System Synthesis Fuzzy Control Fuzzy Rules Fuzzy Set Theory Inequalities Linear Algebra Linear Matrix Inequalities Lyapunov Method Lyapunov Stability Theorem Membership Function Information Numerical Analysis Numerical Relation Operating Domain Partitioning PFMB Control System Polynomial Matrix Polynomial-fuzzy-model-based Control System Relaxed Stability Condition S-procedure Stability Stability Analysis Stability in Control Theory Sum-of-squares Approach Synthesis Method |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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