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|Type:||Artigo de periódico|
|Title:||Linear Optimization Approach To H∞ And Mixed H2/h∞ Control For Discrete-time Uncertain Systems|
|Author:||Von Zuben Fernado Jose|
Dias Peres Pedro Luis
de Souza Sergio Ricardo
|Abstract:||This paper addresses the problems of mixed H2/H∞ control and H∞ guaranteed cost control for discrete-time uncertain linear systems. The uncertainty is supposed to belong to convex bounded polyhedral domains, with no extra assumptions as matching conditions. First, the set of all quadratic stabilizing state feedback gains, providing a prespecified γ disturbance attenuation level, is described in terms of linear matrix inequalities. Then, the mixed H2/H∞ robust control is achieved via the minimization of a linear objective function. which turns out to be an upper bound to the H2 norm of the closed-loop transfer function. The H∞ guaranteed cost is globally achieved by involving the γ upper bound into the minimization procedure. The adopted parameter space allows the formulation of associated optimization procedures with linear objective functions under linear matrix inequalities constraints, assuring the algorithms good numerical behavior. Furthermore, additional constraints, for instance decentralization, can be easily incorporated. Examples illustrate the theoretical results.|
|Editor:||Sociedade Brasileira de Automatica, Vitoria, Brazil|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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