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RSS FeedsAlgorithms, Vol. 12, Pages 20: Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems (Algorithms)

 
 

12 january 2019 15:00:10

 
Algorithms, Vol. 12, Pages 20: Robust Guaranteed-Cost Preview Repetitive Control for Polytopic Uncertain Discrete-Time Systems (Algorithms)
 




In this paper, a robust guaranteed-cost preview repetitive controller is proposed for a class of polytopic uncertain discrete-time systems. In order to improve the tracking performance, a repetitive controller, combined with preview compensator, is inserted in the forward channel. By using the L-order forward difference operator, an augmented dynamic system is constructed. Then, the guaranteed-cost preview repetitive control problem is transformed into a guaranteed-cost control problem for the augmented dynamic system. For a given performance index, the sufficient condition of asymptotic stability for the closed-loop system is derived by using a parameter-dependent Lyapunov function method and linear matrix inequality (LMI) techniques. Incorporating the controller obtained into the original system, the guaranteed-cost preview repetitive controller is derived. A numerical example is also included, to show the effectiveness of the proposed method.


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111 viewsCategory: Informatics
 
Algorithms, Vol. 12, Pages 21: Acknowledgement to Reviewers of Algorithms in 2018 (Algorithms)
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