Numerical Solution of Optimal Control of Time-varying Singular Systems via Operational Matrices

Abstract

In this paper, a numerical method for solving the constrained optimal control of time-varying singular systems with quadratic performance index is presented. Presented method is based on Bernste in polynomials. Operational matrices of integration, differentiation and product are introduced and utilized to reduce the optimal control of time-varying singular problems to the solution of algebraic equations set. The method converges to the exact solution and gives very accurate results. llustrative examples are included to demonstrate the validity and efficiency of the technique and convergence of method to the exact solution especially for unstable singular systems.