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Communication Dans Un Congrès Année : 2021

LTI Descriptor Systems Admissibility under Structure Constraints: A Nonsmooth Newton Approach

Résumé

The paper deals with structured state feedback controllers design for linear time invariant (LTI) singular systems. New necessary and sufficient conditions for the existence of a structured state feedback guaranteeing the descriptor closed loop system admissibility is proposed by dint of linear quadratic (LQ) control theory. These conditions are presented in the form a system of matrix equations involving a non-smooth unconstrained equation. Keeping that in mind, the computation of the Clarke Jacobian of real symmetric matrix projection on semi-definite positives matrices’ cone, is used in order to solve the resulting system of matrix equations. Hence, local convergence of such non-smooth Newton like algorithm is proved. Based on this some numerical examples are presented to show the applicability of the proposed method.

Domaines

Automatique
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Dates et versions

hal-03630228 , version 1 (04-04-2022)

Identifiants

Citer

Mohamed Yagoubi, Redouane Chaibi. LTI Descriptor Systems Admissibility under Structure Constraints: A Nonsmooth Newton Approach. ICSC: 2021 9th International Conference on Systems and Control, Nov 2021, Caen, France. pp.399-404, ⟨10.1109/ICSC50472.2021.9666720⟩. ⟨hal-03630228⟩
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