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| Author(s): |
Yara Quilles Marinho
Total Authors: 1
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| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação |
| Defense date: | 2024-07-31 |
| Examining board members: |
Ricardo Coração de Leão Fontoura de Oliveira;
Cecília de Freitas Morais;
Rodrigo Cardim;
Víctor Costa da Silva Campos;
João Bosco Ribeiro do Val
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| Advisor: | Ricardo Coração de Leão Fontoura de Oliveira |
| Abstract | |
This thesis investigates the problems of stability analysis and synthesis of state- and output-feedback controllers through Parallel Distributed Compensation (PDC) for both continuous-and discrete-time Takagi-Sugeno (T-S) fuzzy systems. The main contribution in the continuous-time domain is the design of global and regional PDC controllers utilizing homogeneous polynomial Lyapunov functions of degrees greater than two on the system states, thus generalizing the results based on quadratic-on-the-state Lyapunov functions. For discrete-time T-S fuzzy systems, the main novelty lies in a special modeling of the membership functions, which eliminates the need for knowing bounds on the variation rates of those functions. The synthesis conditions for both continuous- and discrete-time cases are formulated in terms of locally-convergent iterative algorithms based on linear matrix inequalities. These algorithms are capable of addressing stabilization, maximizing the decay rate, and providing an estimation for the region of attraction. A key advantage of this class of algorithms is that the PDC gains are handled as optimization variables, without requiring the usual change of variables. This facilitates the treatment of structural constraints, such as magnitude bounds on the entries of the gains and decentralization. Numerical experiments are provided to illustrate the advantages and applicability of the proposed results (AU) | |
| FAPESP's process: | 20/08196-5 - Control of Takagi-Sugeno fuzzy systems with local stability |
| Grantee: | Yara Quilles Marinho |
| Support Opportunities: | Scholarships in Brazil - Doctorate |