Sliding-Mode Output Feedback Control Design
Han Ho Choi
Dept. of Electr. Eng., Dongguk Univ., Seoul;
This paper appears in: Industrial Electronics, IEEE Transactions on
Publication Date: Nov. 2008
Volume: 55,
Issue: 11
On page(s): 4047-4054
ISSN: 0278-0046
INSPEC Accession Number: 10301393
Digital Object Identifier: 10.1109/TIE.2008.2004386
First Published: 2008-08-26
Current Version Published: 2008-10-31
Abstract
We consider the sliding-mode output feedback controller (SMOFC) design problem for a class of uncertain multivariable systems. We first design a stabilizing SMOFC for matched uncertain systems. Using linear matrix inequalities (LMIs), we derive a necessary and sufficient condition for the existence of a linear sliding surface depending on outputs and compensator states. Using the solution of the LMI existence condition, we characterize the gain matrices. We give the nonlinear switching feedback gain guaranteeing the reachability condition. Second, we give an LMI-based design method to combine various useful performance criteria which can be used to guarantee a desired robust performance in spite of mismatched uncertainties. The performance criteria include alpha-stability, LQ performance, H2/Hinfin performance, and peak-to-peak gain bound. In particular, we show that by including Hinfin performance constraints, we can easily solve the SMOFC design problem for challenging system models to which the previous methods are not easily applicable. Finally, we give a numerical design example showing that our method can be successfully applied to the problem of designing reduced-order SMOFCs for uncertain time-delay systems or mismatched uncertain systems.
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