2020/12/19 by Hajar Alimorad, Alimorad, Hajar
Mathematics · #Advanced Optimization Algorithms Research #Matrix form #Nonlinear Programming #Optimal control problem #Shifted chebyshev polynomial
paper · doi:10.82521/ijo.2020.1018804
openalex publication_date 2020/12/19 · openalex created_date 2021/04/13 · openalex updated_date 2026/07/07
This paper suggests a new and efficient method for solving linear quadratic optimal control problems. A shifted chebyshev matrix approach is implemented for solving this problem. In this method, the problem of optimal control changes into a problem of non-linear programming which can be solved easily. The corresponding nonlinear programming problem will be solved using Matlab software to find the unknown coefficients which are related to the approximate solution. Numerical examples are also given in order to compare this new method with another one.