Constrained finite time optimal control of a micro-capacitor

Leonidas Dritsas, George Nikolakopoulos, Antonios Tzes

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

Abstract

In this article the control problem of a non-linear micro-capacitor (μ - C) is considered. Utilization of FEM can approximate the μ - A dynamics nonlinear-PDE to a finite nonlinear-ODE. The nonlinearity stems from the plate's rigid-body motion, while all flexibility effects are considered as additive linear-terms. The control methodology we employ is a combination of two ideas. First we use standard linearization techniques to compute PWA approximations of the original nonlinear system around multiple operating points. Next we employ the theory of Constrained Fine Time Optimal Controllers (CFTOC) in order to design (off-line) explicit switching controllers for the set of PWA systems obtained in the first step. The ensuing switched PWA controller is applied to the the original-nonlinear system. We investigate, via extensive simulations, the efficacy of using this control approach for output set-point tracking objectives.

Original languageEnglish (US)
Title of host publicationIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics
Pages3161-3165
Number of pages5
DOIs
StatePublished - Dec 1 2006
EventIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics - Paris, France
Duration: Nov 6 2006Nov 10 2006

Other

OtherIECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics
CountryFrance
CityParis
Period11/6/0611/10/06

Fingerprint

Capacitors
Controllers
Nonlinear systems
Linearization
Finite element method

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Dritsas, L., Nikolakopoulos, G., & Tzes, A. (2006). Constrained finite time optimal control of a micro-capacitor. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics (pp. 3161-3165). [4153139] https://doi.org/10.1109/IECON.2006.347557

Constrained finite time optimal control of a micro-capacitor. / Dritsas, Leonidas; Nikolakopoulos, George; Tzes, Antonios.

IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. p. 3161-3165 4153139.

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

Dritsas, L, Nikolakopoulos, G & Tzes, A 2006, Constrained finite time optimal control of a micro-capacitor. in IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics., 4153139, pp. 3161-3165, IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics, Paris, France, 11/6/06. https://doi.org/10.1109/IECON.2006.347557
Dritsas L, Nikolakopoulos G, Tzes A. Constrained finite time optimal control of a micro-capacitor. In IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. p. 3161-3165. 4153139 https://doi.org/10.1109/IECON.2006.347557
Dritsas, Leonidas ; Nikolakopoulos, George ; Tzes, Antonios. / Constrained finite time optimal control of a micro-capacitor. IECON 2006 - 32nd Annual Conference on IEEE Industrial Electronics. 2006. pp. 3161-3165
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