Brief paper: H∞ control for fast sampling discrete-time singularly perturbed systems

Authors:
Jiuxiang Dong;Guang-Hong Yang
Affiliations:
College of Information Science and Engineering Northeastern University, Shenyang, 110004, PR China;College of Information Science and Engineering Northeastern University, Shenyang, 110004, PR China and Key Laboratory of Integrated Automation of Process Industry (Ministry of Education), Northeas ...
Venue:
Automatica (Journal of IFAC)
Year:
2008

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Abstract

This paper is concerned with the H"~ control problem via state feedback for fast sampling discrete-time singularly perturbed systems. A new H"~ controller design method is given in terms of solutions to linear matrix inequalities (LMIs), which eliminates the regularity restrictions attached to the Riccati-based solution. A method for evaluating the upper bound of singular perturbation parameter @e with meeting a prescribed H"~ performance bound requirement is also given. Furthermore, the results are extended to robust controller design for fast sampling discrete-time singularly perturbed systems with polytopic uncertainties. Numerical examples are given to illustrate the validity of the proposed methods.