Sanjeeb Kumar Kar
Optimal Control of a Linear Distributed Parameter System via Shifted Legendre Polynomials
1171 - 1176
2010
4
8
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/5466
https://publications.waset.org/vol/44
World Academy of Science, Engineering and Technology
The optimal control problem of a linear distributed
parameter system is studied via shifted Legendre polynomials (SLPs)
in this paper. The partial differential equation, representing the
linear distributed parameter system, is decomposed into an n set
of ordinary differential equations, the optimal control problem is
transformed into a twopoint boundary value problem, and the twopoint
boundary value problem is reduced to an initial value problem
by using SLPs. A recursive algorithm for evaluating optimal control
input and output trajectory is developed. The proposed algorithm is
computationally simple. An illustrative example is given to show the
simplicity of the proposed approach.
Open Science Index 44, 2010