TY - JFULL
AU - Sanjeeb Kumar Kar
PY - 2010/9/
TI - Optimal Control of a Linear Distributed Parameter System via Shifted Legendre Polynomials
T2 - International Journal of Mathematical and Computational Sciences
SP - 1170
EP - 1176
VL - 4
SN - 1307-6892
UR - https://publications.waset.org/pdf/5466
PU - World Academy of Science, Engineering and Technology
NX - Open Science Index 44, 2010
N2 - 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 two-point 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.
ER -