Solution of matrix Riccati differential equation for nonlinear singular system using genetic programming

Authors:
P. Balasubramaniam;A. Vincent Antony Kumar
Affiliations:
Department of Mathematics, Gandhigram Rural University, Gandhigram, India 624 302;Department of Computer Science and Applications, PSNA College of Engineering and Technology, Dindigul, India 624 622
Venue:
Genetic Programming and Evolvable Machines
Year:
2009

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Abstract

In this paper, we propose a novel approach to find the solution of the matrix Riccati differential equation (MRDE) for nonlinear singular systems using genetic programming (GP). The goal is to provide optimal control with reduced calculation effort by comparing the solutions of the MRDE obtained from the well known traditional Runge Kutta (RK) method to those obtained from the GP method. We show that the GP approach to the problem is qualitatively better in terms of accuracy. Numerical examples are provided to illustrate the proposed method.