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Restricted structure control loop performance assessment for PID controllers and state-space systems

Grimble, M.J. (2003) Restricted structure control loop performance assessment for PID controllers and state-space systems. Asian Journal of Control, 5 (1). pp. 39-57. ISSN 1561-8625

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Abstract

A novel H2 optimal control performance assessment and benchmarking problem is considered for discrete-time state-space multivariable systems, where the structure of the controller is assumed to be fixed apriori. The controller structure may be specified to be of PID, reduced order, or lead/lag forms. The theoretical problem considered is to represent the state-space model in discrete polynomial matrix form and to then obtain the causal, stabilising, controller, of a prespecified form, that minimises an H2 criterion. This then provides the performance measure against which other controllers can be judged. The underlying practical problem of importance is to obtain a simple method of performance assessment and benchmarking low order controllers. The main theoretical step is to derive a simpler cost-minimization problem whose solution can provide both the full order and restricted structure (PID) optimal benchmark cost values. This problem involves the introduction of spectral factor and diophantine equations and is solved via a Wiener type of cost-function expansion and simplification. The numerical solution of this problem is straightforward and involves approximating the simplified integral criterion by a fixed number of frequency points. The main benchmarking theorem applies to multivariable systems that may be unstable, non-minimum phase and non-square.

Item type: Article
ID code: 38034
Keywords: control loop performance assessment , PID controllers , state-space systems, Electrical engineering. Electronics Nuclear engineering, Control and Systems Engineering
Subjects: Technology > Electrical engineering. Electronics Nuclear engineering
Department: Faculty of Engineering > Electronic and Electrical Engineering
Related URLs:
    Depositing user: Pure Administrator
    Date Deposited: 29 Feb 2012 16:25
    Last modified: 04 Sep 2014 21:45
    URI: http://strathprints.strath.ac.uk/id/eprint/38034

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