Adaptive constrained control of uncertain ARMA-systems based on set membership identification

George Nikolakopoulos, Leonidas Dritsas, Anthony Tzes, John Lygeros

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

Abstract

In this article an adaptive Constrained Finite Time Optimal (CFTO) controller design is presented for unknown, discrete-time linear systems, whose dynamics are identified via Set-Membership Identification (SMI) algorithms. The controller consists of two modules: a) the Set Membership(SM)-Identifier that identifies the system's dynamics through the extended Recursive Least Squares (eRLS) while providing the vertices of an orthotope that contains the nominal identification parameter vector, and b) the CFTO-controller; the tuning of the controller is based on a batch tuning procedure. The controller's feasible operating region remains unchanged for: a) all SM-orthotopes that are subsets of the last orthotope for which the controller's tuning was based, and b) the calculated CFTO-controller remains constant for a large period of time. In the opposite case the control partition of the controller is re-calculated (batch process) based on the current vertices of the identified SM-orthotope. Simulation results are presented that prove the efficacy and the validity of the suggested control scheme.

Original languageEnglish (US)
Title of host publication14th Mediterranean Conference on Control and Automation, MED'06
DOIs
StatePublished - Dec 1 2006
Event14th Mediterranean Conference on Control and Automation, MED'06 - Ancona, Italy
Duration: Jun 28 2006Jun 30 2006

Publication series

Name14th Mediterranean Conference on Control and Automation, MED'06

Other

Other14th Mediterranean Conference on Control and Automation, MED'06
CountryItaly
CityAncona
Period6/28/066/30/06

ASJC Scopus subject areas

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Nikolakopoulos, G., Dritsas, L., Tzes, A., & Lygeros, J. (2006). Adaptive constrained control of uncertain ARMA-systems based on set membership identification. In 14th Mediterranean Conference on Control and Automation, MED'06 [1700808] (14th Mediterranean Conference on Control and Automation, MED'06). https://doi.org/10.1109/MED.2006.328814