The solution of linear quadratic predictive optimal control problems for systems represented in state-equation form, but using a polynomial systems approach, is considered. A multistep cost-function is used that includes future set-point information. A novel method is introduced for computing the vector of future controls and for solving a simpler optimization problem for the current control.
Polynomial Solution of Predictive Optimal Control Problems For Systems in State-Equation Form
Contributed by the Dynamic Systems, Measurement, and Control Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received by the ASME Dynamic Systems and Control Division May 24, 2001; final revision, February 18, 2003. Associate Editor: P. Voulgaris.
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Grimble, M. J. (September 18, 2003). "Polynomial Solution of Predictive Optimal Control Problems For Systems in State-Equation Form ." ASME. J. Dyn. Sys., Meas., Control. September 2003; 125(3): 439–447. https://doi.org/10.1115/1.1589030
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