Stable H controller design based on a novel parameterization of the controller set

T. Peni, Z. Szabo, J. Bokor

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

This paper proposes a method for improving the LMI-based robust control synthesis. It is well-known that the design of a H controller can be formulated as a two-step procedure. In the first step the performance level is minimized and the closed loop Lyapunov function is determined. The second step is the construction of the controller. The currently available implementations of this procedure generate only one controller candidate and leave no room for additional tuning between the design steps. If the controller obtained is not acceptable, (e.g. it is unstable) then the designer has to modify the original control problem (changing, e.g., the performance weighting functions) and then has to perform the entire synthesis again. This paper presents a novel parameterization of all controllers corresponding to the performance level and Lyapunov function determined in the first design step. This parameterizaton makes it possible to construct tuning algorithms for finding the 'best' controller in the parameterized set. Now, this paper focuses only on the stability of the controller and provides an iterative tuning algorithm, which finds a stable controller having poles on the prescribed domain of the left half complex plane. The applicability of the proposed algorithm is demonstrated on a simple robust control problem.

Original languageEnglish
Title of host publication2014 European Control Conference, ECC 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages67-72
Number of pages6
ISBN (Electronic)9783952426913
DOIs
Publication statusPublished - Jul 22 2014
Event13th European Control Conference, ECC 2014 - Strasbourg, France
Duration: Jun 24 2014Jun 27 2014

Publication series

Name2014 European Control Conference, ECC 2014

Other

Other13th European Control Conference, ECC 2014
CountryFrance
CityStrasbourg
Period6/24/146/27/14

ASJC Scopus subject areas

  • Control and Systems Engineering

Fingerprint Dive into the research topics of 'Stable H<sub>∞</sub> controller design based on a novel parameterization of the controller set'. Together they form a unique fingerprint.

  • Cite this

    Peni, T., Szabo, Z., & Bokor, J. (2014). Stable H controller design based on a novel parameterization of the controller set. In 2014 European Control Conference, ECC 2014 (pp. 67-72). [6862279] (2014 European Control Conference, ECC 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ECC.2014.6862279