Invariant Sets for Discrete-Time Constrained Linear Systems Using Sliding Mode Approach
Résumé
Invariant set theory has been recognized as an important tool for control design of constrained systems subject to disturbances. Indeed, invariant sets as the minimal robustly positively invariant set help verify whether constraints are satisfied in closed-loop. This paper studies a class of discrete-time linear systems under additive disturbances. We propose a method to compute the linear state feedback gain that minimizes the impact of disturbances, related to the mRPI, on the constrained closed-loop dynamics. The method relies on the solution of an optimization problem that is formulated using set-theoretic methods and discrete-time sliding mode parametrization.
Mots clés
discrete-time linear systems
additive disturbances
Economic indicators
Gain
constrained systems subject
sliding mode approach
set-theoretic methods
linear state feedback gain
invariant sets
discrete-time sliding mode parametrization
Optimization
discrete time systems
Linear matrix inequalities
Linear systems
control system synthesis
closed loop systems
robust control
set theory
state feedback
constrained closed-loop dynamics
control design
variable structure systems
Domaines
Automatique / Robotique| Origine | Fichiers produits par l'(les) auteur(s) |
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