Numerical Solution of SDRE Control Problem – Comparison of the Selected Methods-Reference-Cited by-同舟云学术

Numerical Solution of SDRE Control Problem – Comparison of the Selected Methods

Published:2020-06-01 Issue:2 Volume:45 Page:79-95
ISSN:2300-3405
Container-title:Foundations of Computing and Decision Sciences
language:en
Short-container-title:

Author:

Hałas Krzysztof¹,Krysiak Eugeniusz²,Hałas Tomasz³,Stępień Sławomir¹

Affiliation:

1. Poznań University of Technology , Institute of Automation and Robotics

2. Higher State Vocational School in Leszno , Polytechnic Institute

3. The Jacob Paradyż Academy in Gorzów Wielkopolski

Abstract

Abstract Methods for solving non-linear control systems are still being developed. For many industrial devices and systems, quick and accurate regulators are investigated and required. The most effective and promising for nonlinear systems control is a State-Dependent Riccati Equation method (SDRE). In SDRE, the problem consists of finding the suboptimal solution for a given objective function considering nonlinear constraints. For this purpose, SDRE methods need improvement. In this paper, various numerical methods for solving the SDRE problem, i.e. algebraic Riccati equation, are discussed and tested. The time of computation and computational effort is presented and compared considering selected nonlinear control plants.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/fcds-2020-0006

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