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State space control system design based on non-minimal state-variable feedback: further generalisation and unification results.

Taylor, C. James and Chotai, Arun and Young, Peter C. (2000) State space control system design based on non-minimal state-variable feedback: further generalisation and unification results. International Journal of Control, 73 (14). pp. 1329-1345.

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Abstract

This paper shows how proportional-integral-plus linear-quadratic (PIP-LQ) control, based on non-minimal state space (NMSS) control system design, can be constrained to yield exactly the same control algorithm as both generalized predictive control (GPC) and standard, minimal state, linear quadratic gaussian (LQG) design methods. However, while NMSS includes these other approaches as special cases, it is less constrained and so more flexible in general terms: for example, while PIP-LQ has the simplicity of GPC, it is formulated like LQG in the powerful context of state variable feedback (SVF) control, which allows for ready access to modern robust control methods. Furthermore, the paper suggests that the NMSS approach provides the greater design freedom, with a wider range of possible LQ solutions than its minimal state space equivalent.

Item Type: Article
Journal or Publication Title: International Journal of Control
Uncontrolled Keywords: non-minimal state space ; linear-quadratic ; generalized predictive control ; proportional-integral-plus
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Departments: Faculty of Science and Technology > Lancaster Environment Centre
Faculty of Science and Technology > Engineering
ID Code: 20318
Deposited By: ep_ss_importer
Deposited On: 19 Dec 2008 13:30
Refereed?: Yes
Published?: Published
Last Modified: 24 Jan 2014 05:15
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/20318

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