Solving of Linear Time Invariance Quadratic Optimal Control Systems using Chebyshev Scaling Function

Abstract

In this paper we have studied the linear time invariance optimal control problems with quadratic performance index, and approximated control variable, state variable and performance index using Chebyshev scaling function method with unknown coefficients. The linear time invariant problems were parameterized based on control-state parameterization technique such that the objective function and the constraints are casted in terms of state variable and control variable. This method was converting the linear time invariance quadratic optimal control problems into quadratic programming problems and the converted problems were solved using MATLAB. Hence we increase the order of polynomial (M), and then the computational results of the proposed methods gave better results.

Keywords: Optimal control, Chebyshev scaling function, operational matrix integration.

DOI: 10.7176/MTM/9-7-01

Publication date: July 31^st 2019