1. Direct solution of nonlinear constrained quadratic optimal control problems using B-spline functions
- Creator:
- Edrisi-Tabriz, Yousef and Lakestani, Mehrdad
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- optimal control problem, B-spline functions, derivative matrix, and collocation method
- Language:
- English
- Description:
- In this paper, a new numerical method for solving the nonlinear constrained optimal control with quadratic performance index is presented. The method is based upon B-spline functions. The properties of B-spline functions are presented. The operational matrix of derivative (Dϕ) and integration matrix (P) are introduced. These matrices are utilized to reduce the solution of nonlinear constrained quadratic optimal control to the solution of nonlinear programming one to which existing well-developed algorithms may be applied. Illustrative examples are included to demonstrate the validity and applicability of the technique.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public