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Abstract
Taylor, C.J., Chotai, A. and Young P.C., (2000), State space control system design based on non-minimal state-variable feedback : Further generalisation and unification results, International Journal of Control, 73, 1329-1345. (ISSN: 0020-7179).
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 Generalised 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.
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Updating responsibility Arun Chotai. This page is copyright of Lancaster University.
12/10/01 - PGM.
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