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Stability analysis and state feedback design of polytopic dynamic systems via multipliers

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Author(s):
Rubens Hideo Korogui
Total Authors: 1
Document type: Master's Dissertation
Press: Campinas, SP.
Institution: Universidade Estadual de Campinas (UNICAMP). Faculdade de Engenharia Elétrica e de Computação
Defense date:
Examining board members:
José Cláudio Geromel; Jose Jaime da Cruz; João Bosco Ribeiro do Val; Wagner Caradori do Amaral
Advisor: José Cláudio Geromel
Abstract

This thesis is devoted to analysis and controllers design for polytopic systems in the Linear Matrix Inequalities (LMls) and Multipliers framework. We develop concepts related to the analysis of dynamic systems stability in terms of multipliers, so we are able to provide sufficient conditions for robust stability and performance. Moreover, we introduce parameter dependent Lyapunov functions in order to deal with polytopic systems. Based on the analysis results, we propose conditions for state feedback design using a convex parametrization. Throughout the text several examples and tables illustrate the development (AU)