A parametric approach to finite-dimensional control of linear distributed-parameter systems

This article considers the design of finite-dimensional compensators for distributed-parameter systems using eigenvalue assignment. The proposed compensator consists of an observer estimating additional outputs and a static feedback of the measurable and the estimated outputs. Since the additional o...

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Bibliographic Details
Published inInternational journal of control Vol. 83; no. 8; pp. 1674 - 1685
Main Authors Deutscher, J., Harkort, Ch
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.08.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects
Applied sciences
compensator design
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
distributed-parameter systems
eigenvalue assignment
Exact sciences and technology
Industrial metrology. Testing
linear systems
Mechanical engineering. Machine design
Modelling and identification
parameter optimisation
static output feedback
Studies
Feedback regulation
Control synthesis
Separation principle
Linear control
Modeling
Pole assignment
Closed feedback
Dimensioning
Dimensional control
Observer
Distributed control
Eigenvalue problem
Asymptotic approximation
System identification
Distributed parameter system
Output feedback
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Summary:This article considers the design of finite-dimensional compensators for distributed-parameter systems using eigenvalue assignment. The proposed compensator consists of an observer estimating additional outputs and a static feedback of the measurable and the estimated outputs. Since the additional outputs can be asymptotically reconstructed, the compensator can be designed using the separation principle, i.e. the closed-loop eigenvalues are given by the observer eigenvalues and the eigenvalues resulting from the static output feedback control. In order to solve the corresponding eigenvalue assignment problem, the parametric approach for the design of static output feedback controllers in finite-dimensions is extended to distributed-parameter systems. By using a parameter optimisation it is possible to assign all closed-loop eigenvalues within specified regions of the complex plane in order to stabilise the system and to assure a desired control performance. A heat conductor is used to demonstrate the proposed design procedure.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2010.487545