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Algorithms 2016, 9(1), 20; doi:10.3390/a9010020

The Iterative Solution to Discrete-Time H Control Problems for Periodic Systems

Faculty of Economics and Business Administration, Sofia University “St. Kliment Ohridski”, 125 Tsarigradsko Shosse Blvd., bl.3, 1113 Sofia, Bulgaria
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Academic Editors: Alicia Cordero, Juan R. Torregrosa and Francisco I. Chicharro
Received: 22 October 2015 / Revised: 25 February 2016 / Accepted: 9 March 2016 / Published: 14 March 2016
(This article belongs to the Special Issue Numerical Algorithms for Solving Nonlinear Equations and Systems)
View Full-Text   |   Download PDF [235 KB, uploaded 14 March 2016]

Abstract

This paper addresses the problem of solving discrete-time H ∞ control problems for periodic systems. The approach for solving such a type of equations is well known in the literature. However, the focus of our research is set on the numerical computation of the stabilizing solution. In particular, two effective methods for practical realization of the known iterative processes are described. Furthermore, a new iterative approach is investigated and applied. On the basis of numerical experiments, we compare the presented methods. A major conclusion is that the new iterative approach is faster than rest of the methods and it uses less RAM memory than other methods. View Full-Text
Keywords: H optimal control problem; generalized riccati equation; periodic systems; stabilizing solution H optimal control problem; generalized riccati equation; periodic systems; stabilizing solution
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Ivanov, I.G.; Bogdanova, B.C. The Iterative Solution to Discrete-Time H Control Problems for Periodic Systems. Algorithms 2016, 9, 20.

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