Robustified GPC controller based on H robust control for an hydraulic actuator

Abstract

This paper proposes the robustification method of primary generalized predictive control GPC for a hydraulic actuator, which is previously modeled by an uncertain plant. Three-step procedures should be followed for robustification: First, the primary GPC controller based on nominal plant is designed to ensure a better tracking dynamic of the closed-loop system. Second, the Q-parameter transfer function is determined from solving the weighted-mixed sensitivity problem using the two Riccati equations where the uncertainty plant and neglected dynamics are taken into account. Finally, the Youla parameterization combines the primary GPC controller and Q-parameter to design the robustified GPC controller which enhances the trade-off robustness of primary GPC controller without changing its better tracking dynamic. To validate the effectiveness of the proposed robustification, the hydraulic actuator, which presents a realistic process, is controlled by both primary and robustified GPC controllers where their simulation results are compared in time and frequency domains by those given by the H controller.

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Correspondence to Moussa Sedraoui.

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Technical Editor: Marcelo A. Trindade.

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Aidoud, M., Sedraoui, M., Lachouri, A. et al. Robustified GPC controller based on H robust control for an hydraulic actuator. J Braz. Soc. Mech. Sci. Eng. 38, 2181–2188 (2016). https://doi.org/10.1007/s40430-015-0406-5

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Keywords

  • H control
  • Hydraulic actuators
  • Predictive control
  • Robust control
  • Two-term control