Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques

Jesús Rodríguez-Millán, José Yépez, J. Bokor

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

2 Citations (Scopus)

Abstract

In this paper we report the development of NLLag-Lead, a symbolic computation tool allowing to automate the design of linear and nonlinear lead, lag and lag-lead compensators, for nth order single-input single-output nonlinear dynamical control systems. The proposed nonlinear lag-lead compensators are straightforward structural nonlinear extensions of appropriate state variables representations of the linear laglead compensators, which for nonlinear extension purposes are represented as a cascade of an input PD like controller followed by an output first order linear dynamical system. This two-blocks decomposition transforms the design of a nonlinear extension of a lag-lead compensator into the design of a nonlinear PD controller and a nonlinear state-feedback controller. NLLag- Lead has been computationally implemented using Mathematica® as symbolic computational platform.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages218-234
Number of pages17
Volume1333
ISBN (Print)3540638113, 9783540638117
DOIs
Publication statusPublished - 1997
Event6th International Workshop on Computer Aided Systems Theory, EUROCAST 1997 - Las Palmas de Gran Canaria, Spain
Duration: Feb 24 1997Feb 28 1997

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1333
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other6th International Workshop on Computer Aided Systems Theory, EUROCAST 1997
CountrySpain
CityLas Palmas de Gran Canaria
Period2/24/972/28/97

Fingerprint

Symbolic Computation
Compensator
Linearization
Lead
Controllers
Controller
Nonlinear feedback
State feedback
Linear Dynamical Systems
Design
Output
Mathematica
Dynamical systems
State Feedback
Cascade
Decomposition
Control systems
Control System
Transform
First-order

Keywords

  • Jacobian and extended linearization
  • Lag-lead compensators
  • Mathematica®
  • Symbolic computation

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Rodríguez-Millán, J., Yépez, J., & Bokor, J. (1997). Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1333, pp. 218-234). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1333). Springer Verlag. https://doi.org/10.1007/BFb0025046

Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques. / Rodríguez-Millán, Jesús; Yépez, José; Bokor, J.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1333 Springer Verlag, 1997. p. 218-234 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1333).

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

Rodríguez-Millán, J, Yépez, J & Bokor, J 1997, Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 1333, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1333, Springer Verlag, pp. 218-234, 6th International Workshop on Computer Aided Systems Theory, EUROCAST 1997, Las Palmas de Gran Canaria, Spain, 2/24/97. https://doi.org/10.1007/BFb0025046
Rodríguez-Millán J, Yépez J, Bokor J. Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1333. Springer Verlag. 1997. p. 218-234. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/BFb0025046
Rodríguez-Millán, Jesús ; Yépez, José ; Bokor, J. / Design of nonlinear lag-lead compensators by extended linearization using symbolic computation techniques. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1333 Springer Verlag, 1997. pp. 218-234 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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