Paper Info
Title
Discrete-Time Output Feedback Sliding-Mode Control Design For Uncertain Systems Using Linear Matrix Inequalities
Abstract
An output feedback-based sliding-mode control design methodology for discrete-time systems is considered in this article. In previous work, it has been shown that by identifying a minimal set of current and past outputs, an augmented system can be obtained which permits the design of a sliding surface based upon output information only, if the invariant zeros of this augmented system are stable. In this work, a procedure for realising discrete-time controllers via a particular set of extended outputs is presented for non-square systems with uncertainties. This method is applicable when unstable invariant zeros are present in the original system. The conditions for existence of a sliding manifold guaranteeing a stable sliding motion are given. A procedure to obtain a Lyapunov matrix, which simultaneously satisfies both a Riccati inequality and a structural constraint, is used to formulate the corresponding control to solve the reachability problem. A numerical method using linear matrix inequalities is suggested to obtain the Lyapunov matrix. Finally, the design approach given in this article is applied to an aircraft problem and the use of the method as a reconfigurable control strategy in the presence of sensor failure is demonstrated.
Year
DOI
Venue
2011
10.1080/00207179.2011.583683
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
sliding modes, output feedback, discrete-time implementation, reconfigurable control
Lyapunov function,Matrix (mathematics),Control theory,Invariant (mathematics),Reachability problem,State-transition matrix,Variable structure control,Mathematics,Linear matrix inequality,Sliding mode control
Journal
Volume
Issue
ISSN
84
5
0020-7179
Citations 
PageRank 
References 
2
0.39
12
Authors
3
Name
Order
Citations
PageRank
Srinath Govindaswamy170.89
sarah k spurgeon272471.21
Thierry Floquet353641.89