Constrained control of discrete-time periodic systems
type: Distribution
access URL: https://theses.hal.science/tel-00960391
format: HTML
issued: 2026-05-06T00:27:00.593468
modified: 2026-05-06T00:27:00.558346

test_moissonnage_selune
type: Agent

Constrained control of discrete-time periodic systems
type: Dataset
contact point: Organization
  fn: CCSD
keyword: retour-detat-periodique
keyword: retards
keyword: systemes-periodiques
keyword: constraints
keyword: stabilite
keyword: contraintes
keyword: incertitude
keyword: uncertainties
keyword: periodic-systems
keyword: positivity
keyword: periodic-state-feedback
keyword: stability
keyword: positivite
keyword: hinf-control
keyword: theses
keyword: spiengineering-sciences-physics
keyword: infoeu-reposemanticsdoctoralthesis
keyword: lmi
keyword: commande-hinf
keyword: delays
landing page: https://theses.hal.science/tel-00960391
description: This thesis deals with the analysis and the control problem of periodic linear discrete systems (PLDS). The contributions presented in this work focuses on the constrained control of PLDS. Conditions for stability analysis and positivity are established in terms of strict LMI (Linear Matrix Inequalities). The stabilization of PLDS under the condition that the closed-loop system is positive and stable is addressed as well as the case of bounded state and/or control variables. The obtained results are then extended to the synthesis of robust state feedback controllers, where some of which are based on the S-procedure technique. Furthermore, some conditions of stability and stabilization of PLDS with delays are established. The problem of stabilization of constrained PLDS is addressed based on the Lyapunov techniques or the Linear Programming techniques. The robust Hinf state feedback control in which both robust stability and a prescribed Hinf performance are required is investigated.
issued: 2026-05-06T00:27:00.589447
language: fr
modified: 2026-05-06T00:27:00.589451