State-Space Approach to LQG Multivariable Predictive and Feedforward Optimal Control

[+] Author and Article Information
M. J. Grimble

Industrial Control Unit, University of Strathclyde, Marland House, 50 George Street, Glasgow G1 1QE, Scotland

J. Dyn. Sys., Meas., Control 116(4), 610-617 (Dec 01, 1994) (8 pages) doi:10.1115/1.2899259 History: Received July 23, 1989; Revised April 25, 1991; Online March 17, 2008


Two extensions of the LQG optimal control problem are presented which enable prediction and feedforward action to be introduced in a state equation framework. Predictive control is first considered using a discrete-time state-space system model. Future reference values are assumed to be known p-steps ahead and the controller has a two-degrees of freedom structure. The mechanism for introducing feedforward control and hence providing a third degree of freedom is also considered. Both prediction and feedforward action are simple to design and implement using the proposed state-space approach.

Copyright © 1994 by The American Society of Mechanical Engineers
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