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| Author(s): |
Tiago Rocha Gonçalves
Total Authors: 1
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| Document type: | Master's Dissertation |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação |
| Defense date: | 2018-07-20 |
| Examining board members: |
José Cláudio Geromel;
Liu Hsu;
Celso Pascoli Bottura
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| Advisor: | Gabriela Werner Gabriel; José Cláudio Geromel |
| Abstract | |
The analysis of dynamic linear or nonlinear control systems, in many cases, leads to two point boundary value problems based on differential equations, whose analytical solutions most of time can not be calculated explicitly. In such a situation, the goal of this master of science dissertation is to study and to analyze a new technique for the solution of these problems, rewritten through differential linear matrix inequalities, according to three different approaches. The first one corresponds to use the Euler's method to approximately solve differential inequalities; the second, to impose a piecewise linear solution; and the third one, a polynomial solution of a given prespecified order. The main idea is to handle the resulting inequalities through linear matrix inequality solvers. Finally, these outcomes are validated by applying the developed theory to the design of state feedback sampled-data control of Markov jump linear systems (AU) | |
| FAPESP's process: | 16/08043-9 - Linear differential inequalities: numerical solution and applications |
| Grantee: | Tiago Rocha Gonçalves |
| Support Opportunities: | Scholarships in Brazil - Master |