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Ariádne L. J. Bertolin
Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas – UNICAMP, Av. Albert Einstein, 400, 13083-852, Campinas, SP
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Ricardo C. L. F. Oliveira
Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas – UNICAMP, Av. Albert Einstein, 400, 13083-852, Campinas, SP
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Pedro L. D. Peres
Faculdade de Engenharia Elétrica e de Computação, Universidade Estadual de Campinas – UNICAMP, Av. Albert Einstein, 400, 13083-852, Campinas, SP
Keywords:
Discrete-time linear systems, ℓ1 norm, Dynamic output feedback, Linear Matrix Inequalities (LMIs)
Abstract
This work presents new contributions to the computation of a bound to the ℓ1 norm and to the synthesis of dynamic output feedback controllers assuring a bound to the ℓ1 norm for discrete- time linear systems through linear matrix inequalities. Starting from sufficient stability conditions for an auxiliary system, a locally convergent iterative method is proposed for the computation of a bound to the ℓ1 norm of the impulse response of the original system, with direct extension to deal with uncertain parameters and for the synthesis of output feedback dynamic controllers of a given order. Differently from the existent techniques for ℓ1 analysis and control, the proposed method dispenses the usual one- dimensional search and considers as optimization variables the parameters of the controller, handling structural constraints without additional conservatism. Numerical examples illustrate the performance of the proposed approach.
