H ∞ Control of Discrete-Time Stochastic State-multiplicative Systems Constrained in State by Equality Constraints

2014 ◽  
Vol 47 (3) ◽  
pp. 8699-8704 ◽  
Author(s):  
D. Krokavec ◽  
A. Filasová
Keyword(s):  
Discrete Time ◽  
Equality Constraints ◽  
Multiplicative Systems

scholarly journals H∞ control of discrete-time linear systems constrained in state by equality constraints

2012 ◽  
Vol 22 (3) ◽  
pp. 551-560 ◽  
Author(s):  
Anna Filasová ◽  
Dušan Krokavec
Keyword(s):  
Discrete Time ◽  
Design Procedure ◽  
Equality Constraints ◽  
State Feedback Control ◽  
Computation Method ◽  
Control Law ◽  
State Variables ◽  
Bounded Real Lemma ◽  
Time Systems ◽  
Time Linear

Abstract In this paper, stabilizing problems in control design are addressed for linear discrete-time systems, reflecting equality constraints tying together some state variables. Based on an enhanced representation of the bounded real lemma for discretetime systems, the existence of a state feedback control for such conditioned stabilization is proven, and an LMI-based design procedure is provided. The control law gain computation method used circumvents generally an ill-conditioned singular design task. The principle, when compared with previously published results, indicates that the proposed method outperforms the existing approaches, guarantees feasibility, and improves the steady-state accuracy of the control. Furthermore, better performance is achieved with essentially reduced design effort. The approach is illustrated on simulation examples, where the validity of the proposed method is demonstrated using one state equality constraint.

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