A large terminal set of model predictive control results in a large region of attraction of the closed-loop systems, which can help to reduce the computational burden of the involved optimization problem. In this paper, a novel scheme is proposed to obtain a terminal set and a terminal penalty of nonlinear model predictive control. Firstly, the nonlinear system is approximated through the Koopman operator theory, whereby a linear system with unknown but bounded disturbances is generated. Then, a polytopic terminal set is obtained accordingly, where the nonlinear system is described by a linear model with disturbances. The effectiveness of the proposed scheme is demonstrated using a benchmark problem.

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Terminal Set of Nonlinear Model Predictive Control with Koopman Operators

  • Yajing Zhang,
  • Yangyang Feng,
  • Shuyou Yu,
  • Hong Chen

摘要

A large terminal set of model predictive control results in a large region of attraction of the closed-loop systems, which can help to reduce the computational burden of the involved optimization problem. In this paper, a novel scheme is proposed to obtain a terminal set and a terminal penalty of nonlinear model predictive control. Firstly, the nonlinear system is approximated through the Koopman operator theory, whereby a linear system with unknown but bounded disturbances is generated. Then, a polytopic terminal set is obtained accordingly, where the nonlinear system is described by a linear model with disturbances. The effectiveness of the proposed scheme is demonstrated using a benchmark problem.