An Optimal Control Method of Hybrid Model for Nonlinear Systems

Abstract

An optimal control method for nonlinear systems based on the framework of hybrid model is proposed to improve the whole performance of the systems. Firstly, a number of linear models which are produced by nonlinear model at specified operating points are synthesized under the framework of hybrid model. Secondly, the method of collocation on finite elements is used to lower the dimension and the optimal control problem is transformed to MIQP problem over the whole space. The model mismatch produced by discretization is avoided by using the strategy of receding-horizon optimization. Simulation results show that a satisfactory performance can be obtained by using the presented approach.