Title :
Control design for discrete-time linear systems using enhanced LMI conditions
Author :
Krokavec, D. ; Filasova, A.
Author_Institution :
Dept. of Cybern. & Artificial Intell., Tech. Univ. of Kosice, Kosice, Slovakia
Abstract :
The paper provides a new modification of the enhanced linear matrix inequality conditions in the state-space control design for discrete-time linear systems. This feasible task is formulated using a descriptor approach as an enhanced algorithm which is suitable for the closed-loop control structure stability verification and applicable for design of the control law matrix parameter. In relation to other existing methods, the proposed method maintains the principle of decoupling Lyapunov matrix and system matrix parameters but additionally, by extending the set of inequalities, relieves bond between the matrix variables.
Keywords :
Lyapunov matrix equations; closed loop systems; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; stability; state-space methods; LMI conditions; closed-loop control structure; control law matrix parameter design; decoupling Lyapunov matrix; descriptor approach; discrete-time linear systems; linear matrix inequality conditions; matrix variables; stability verification; state-space control design; system matrix parameters; Control design; Discrete-time systems; Linear matrix inequalities; Linear systems; State feedback; Symmetric matrices; Uncertainty; control laws; discrete-time systems; linear matrix inequalities; linear systems; systems with polytopic uncertainties;
Conference_Titel :
Carpathian Control Conference (ICCC), 2015 16th International
Conference_Location :
Szilvasvarad
Print_ISBN :
978-1-4799-7369-9
DOI :
10.1109/CarpathianCC.2015.7145084