Academic Journal
Local Stabilization of Time-Delay Nonlinear Discrete-Time Systems Using Takagi-Sugeno Models and Convex Optimization
| العنوان: | Local Stabilization of Time-Delay Nonlinear Discrete-Time Systems Using Takagi-Sugeno Models and Convex Optimization |
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| المؤلفون: | Luís F. P. Silva, Valter J. S. Leite, Eugênio B. Castelan, Michael Klug |
| المصدر: | Mathematical Problems in Engineering, Vol 2014 (2014) |
| بيانات النشر: | Hindawi Limited |
| سنة النشر: | 2014 |
| المجموعة: | Directory of Open Access Journals: DOAJ Articles |
| مصطلحات موضوعية: | Engineering (General). Civil engineering (General), TA1-2040, Mathematics, QA1-939 |
| الوصف: | A convex condition in terms of linear matrix inequalities (LMIs) is developed for the synthesis of stabilizing fuzzy state feedback controllers for nonlinear discrete-time systems with time-varying delays. A Takagi-Sugeno (T-S) fuzzy model is used to represent exactly the nonlinear system in a restricted domain of the state space, called region of validity. The proposed stabilization condition is based on a Lyapunov-Krasovskii (L-K) function and it takes into account the region of validity to determine a set of initial conditions for which the actual closed-loop system trajectories are asymptotically stable and do not evolve outside the region of validity. This set of allowable initial conditions is determined from the level set associated to a fuzzy L-K function as a Cartesian product of two subsets: one characterizing the set of states at the initial instant and another for the delayed state sequence necessary to characterize the initial conditions. Finally, we propose a convex programming problem to design a fuzzy controller that maximizes the set of initial conditions taking into account the shape of the region of validity of the T-S fuzzy model. Numerical simulations are given to illustrate this proposal. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| تدمد: | 1024-123X 1563-5147 |
| Relation: | http://dx.doi.org/10.1155/2014/587510; https://doaj.org/toc/1024-123X; https://doaj.org/toc/1563-5147; https://doaj.org/article/2e6d06ece0d849a08a86d396b813d15f |
| DOI: | 10.1155/2014/587510 |
| الاتاحة: | https://doi.org/10.1155/2014/587510 https://doaj.org/article/2e6d06ece0d849a08a86d396b813d15f |
| رقم الانضمام: | edsbas.810335B0 |
| قاعدة البيانات: | BASE |
Full Text Finder | تدمد: | 1024123X 15635147 |
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| DOI: | 10.1155/2014/587510 |