Practical stability analysis and switching controller synthesis for discrete-time switched affine systems via linear matrix inequalities

Document Type : Article

Author

Department of Electrical Engineering, Sahand University of Technology, Sahand New Town, Tabriz, P.O. Box: 51335-1996, Iran

Abstract

This paper considers the practical asymptotic stabilization of a
desired equilibrium point in discrete-time switched affine systems.
The main purpose is to design a state feedback switching rule for
the discrete-time switched affine systems whose parameters can be
extracted with less computational complexities. In this regard,
using switched Lyapunov functions, a new set of sufficient
conditions based on matrix inequalities are developed to solve the
practical stabilization problem. For any size of the switched affine
system, the derived matrix inequalities contain only one bilinear
term as a multiplication of a positive scalar and a positive
definite matrix. It is shown that the practical stabilization
problem can be solved via a few convex optimization problems,
including Linear Matrix Inequalities (LMIs) through gridding of a
scalar variable interval between zero and one. The numerical
experiments on an academic example and a DC-DC buck-boost converter,
as well as comparative studies with the existing works, prove the
satisfactory operation of the proposed method in achieving better
performances and more tractable numerical solutions.

Keywords

References

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Scientia Iranica
Volume 31, Issue 14
Transactions on Computer Science & Engineering and Electrical Engineering (D)
July and August 2024
Pages 1159-1177

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History

  • Receive Date: 08 May 2021
  • Revise Date: 03 December 2021
  • Accept Date: 14 March 2022

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