كنترل بهينه سيستم هاي غيرخطي چندجمله اي با استفاده از توابع لژاندر تركيبي

Optimal Control of Polynomial Nonlinear Systems by Hybrid Legendry Functions

systems. Necessary conditions for optimal control of nonlinear systems are reduced to solve nonlinear differential equations with boundary conditions which their solutions in general can not be analytically obtained. Numerical solutions and spectral methods have been used in order to solve these systems. In this paper a. numerical method is presented by using spectral hybrid functions for solving polynomial nonlinear systems A numerical example is included to demonstrate the validity and applicability of the method and a. comparison is made by existing results.