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| Content Provider | IET Digital Library |
|---|---|
| Author | Lam, Hak Keung Wu, Ligang Zhao, Yanbin |
| Abstract | This study investigates the stability of fuzzy-model-based (FMB) control system, which is formed by a Takagi–Sugeno (T–S) fuzzy model representing a non-linear plant and a fuzzy controller connected in a closed loop. The proposed fuzzy controller considers a higher design flexibility that the premise membership functions and the number of fuzzy rules are allowed to be not the same as those of the T–S fuzzy model. By employing simple membership functions and a smaller number of fuzzy rules, the complexity of the fuzzy controller can be reduced to facilitate its implementation. Based on the Lyapunov stability theory, a membership-function-dependent (MFD) stability analysis is proposed to develop stability conditions in the form of linear matrix inequalities (LMIs) to determine the system stability and facilitate the control synthesis. The information of the membership functions is brought to the MFD LMI-based stability conditions, which are dedicated to the FMB control system under consideration. It is thus the proposed MFD stability analysis result is more relaxed compared with the existing membership-function-independent stability analysis results. A simulation example is given to illustrate the effectiveness of the proposed approach. |
| Starting Page | 614 |
| Ending Page | 625 |
| Page Count | 12 |
| ISSN | 17518644 |
| Volume Number | 8 |
| e-ISSN | 17518652 |
| Issue Number | Issue 8, May (2014) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/8/8 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0171 |
| Journal | IET Control Theory & Applications |
| Publisher Date | 2014-04-08 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Algebra Closed Loop System Combinatorial Mathematics Compensation Control Synthesis Control System Analysis Control System Synthesis Design Flexibility Distributed Parameter Control System Distributed Parameter System FMB Control System Fuzzy Control Fuzzy Rules Fuzzy Set Theory Linear Matrix Inequalities Lyapunov Method Lyapunov Theory Membership-function-dependent Stability Analysis Membership-function-independent Stability Analysis MFD LMI-based Condition Nonparallel Distributed Compensation Fuzzy-model-based Control System Stability Stability in Control Theory Synthesis Method T-S Model Takagi-Sugeno Model |
| 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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