Restricted structure polynomial systems approach to LPV generalized predictive control

M. Grimble, S. Alotaibi, P. Majecki

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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.
Original languageEnglish
Number of pages7
Publication statusPublished - 14 Jul 2021
Event7th IFAC Conference on Nonlinear Model Predictive Control - Bratislava, Slovakia
Duration: 11 Jul 202114 Jul 2021


Conference7th IFAC Conference on Nonlinear Model Predictive Control
Abbreviated titleNMPC 2021
Internet address


  • polynomial methods
  • nonlinear predictive controller
  • linear parameter-varying systems

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