Restricted structure polynomial systems approach to LPV generalized predictive control

Grimble, M. and Alotaibi, S. and Majecki, P. (2021) Restricted structure polynomial systems approach to LPV generalized predictive control. In: 7th IFAC Conference on Nonlinear Model Predictive Control, 2021-07-11 - 2021-07-14.

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Abstract

A new polynomial systems method is defined for the restricted structure nonlinear predictive controllers design. The control algorithm is established for a discrete-time nonlinear system, described in the polynomial matrix linear parameter varying form. The low-order restricted structure controller is parameterized in terms of discrete transfer operators set that the designer chooses multiplied by a set of optimized gains. The controller within the feedback loop can have a general linear parameter varying form or something as simple as a PI structure. The predictive control multi-step cost-index, which is minimized, comprises weighted error, control signal costing, and gain magnitude terms. A simulation of an automotive example is used to evaluate the nonlinear restricted structure controller performance.

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