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| Content Provider | IET Digital Library |
|---|---|
| Author | Lee, Dong Hwan Joo, Young Hoon Tak, Myung Hwan |
| Abstract | This study deals with the problem of local stability analysis and the computation of invariant subsets of the domain of attraction (DA) for discrete-time Takagi–Sugeno fuzzy systems. Based on the fuzzy Lyapunov functions, new sufficient conditions and an iterative scheme are proposed in order to prove the local stability and to estimate the DA. The mean value theorem and polytopic type bounds on the gradient of the membership functions are used to consider the relation between the membership functions at samples k and k + 1. Each step of the iterative procedure consists of linear matrix inequalities (LMIs) or single-parameter minimisation problems subject to LMI constraints, which are solvable via convex optimisations. Finally, examples compare the proposed conditions with existing tests. |
| Starting Page | 1309 |
| Ending Page | 1318 |
| Page Count | 10 |
| ISSN | 17518644 |
| Volume Number | 7 |
| e-ISSN | 17518652 |
| Issue Number | Issue 9, Jun (2013) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/7/9 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0033 |
| Journal | IET Control Theory & Applications |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Convex Optimisations Convex Programming Discrete Control System Discrete Time System Discrete-timeTakagi-Sugeno Fuzzy System Domain of Attraction Fuzzy Lyapunov Function Fuzzy System Interpolation And Function Approximation Iterative Method Iterative Scheme Linear Algebra Linear Matrix Inequalities LMI Constraint Local Stability Analysis Lyapunov Method Mean Value Theorem Minimisation Numerical Analysis Optimisation Technique Polytopic Type Bounds Single-parameter Minimisation Problem Stability Stability in Control Theory Sufficient Condition |
| 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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