LPV decoupling for multivariable control system design

  • Authors:

  • Javad Mohammadpour;Karolos Grigoriadis;Matthew Franchek;Yue-Yun Wang

  • Affiliations:

  • Department of Mechanical Engineering, University of Houston, Houston, TX;Department of Mechanical Engineering, University of Houston, Houston, TX;Department of Mechanical Engineering, University of Houston, Houston, TX;Powertrain Systems Research Lab, General Motors, Warren, MI

  • Venue:
  • ACC'09 Proceedings of the 2009 conference on American Control Conference
  • Year:
  • 2009

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Abstract

The paper explores methods for decoupled linear parameter varying (LPV) control. The proposed approach seeks to benefit the multi-variable control of multi-input multi-output (MIMO) systems with variable operating conditions, variable parameters or nonlinear behavior. The method can improve the performance and reduce the variability of such MIMO systems with significant coupling in the system dynamics. We design MIMO decoupled feedback LPV controllers to address coupling effects. In particular, the method uses a parameter-dependent static inversion or SVD decomposition of the system to minimize the effects of the off-diagonal terms in the MIMO system transfer function matrix. The parameter-dependent decoupling matrices are selected along with the appropriate LPV controller design to guarantee the closed-loop performance specifications. A new parameter-dependent interaction measure is also introduced based on SVD decomposition and static inversion and is examined for the adaptive control design purposes to address the variability and coupling of the multivariable systems.