Model reference adaptive control for constrained linear systems

Pham Anh Tu, Kenko Uchida

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

Abstract

The presence of state and control constraints in physi cal systems may lead to performance deterioration and instability if not adequately accounted for in controller design processes. Therefore, a procedure of state and control constraint fulfillment for uncertain linear systems, which firstly require an adaptive controller, is proposed. Model Reference Adaptive Control (MRAC) Method is selected to design the controller, and Lyapunov stability theory is used to obtained adaptive laws. To solve the constraint fulfillment problem, a concept of maximal output admissible set [8], [11] is utilized to predict safe operation of the plant. Constraint fulfill ment procedure is described as polynomial optimization problems, and a numerical design example is carried out to support the arguments.

Original languageEnglish
Title of host publicationProceedings of the IASTED International Conference on Modelling, Identification and Control
Pages294-299
Number of pages6
DOIs
Publication statusPublished - 2011
Externally publishedYes
Event31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011 - Innsbruck
Duration: 2011 Feb 142011 Feb 16

Other

Other31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011
CityInnsbruck
Period11/2/1411/2/16

Fingerprint

Model Reference Adaptive Control
Model reference adaptive control
Control Constraints
Constrained Systems
State Constraints
Linear systems
Linear Systems
Controller
Admissible Set
Controllers
Lyapunov Stability Theory
Uncertain Systems
Deterioration
Controller Design
Design Process
Optimization Problem
Predict
Polynomial
Output
Polynomials

Keywords

  • Lyapunov stabilty
  • Maximal output admissible set
  • Model reference adaptive control
  • State and control constraints

ASJC Scopus subject areas

  • Computer Science Applications
  • Software
  • Modelling and Simulation

Cite this

Tu, P. A., & Uchida, K. (2011). Model reference adaptive control for constrained linear systems. In Proceedings of the IASTED International Conference on Modelling, Identification and Control (pp. 294-299) https://doi.org/10.2316/P.2011.718-084

Model reference adaptive control for constrained linear systems. / Tu, Pham Anh; Uchida, Kenko.

Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. p. 294-299.

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

Tu, PA & Uchida, K 2011, Model reference adaptive control for constrained linear systems. in Proceedings of the IASTED International Conference on Modelling, Identification and Control. pp. 294-299, 31st IASTED International Conference on Modelling, Identification, and Control, MIC 2011, Innsbruck, 11/2/14. https://doi.org/10.2316/P.2011.718-084
Tu PA, Uchida K. Model reference adaptive control for constrained linear systems. In Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. p. 294-299 https://doi.org/10.2316/P.2011.718-084
Tu, Pham Anh ; Uchida, Kenko. / Model reference adaptive control for constrained linear systems. Proceedings of the IASTED International Conference on Modelling, Identification and Control. 2011. pp. 294-299
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