{"title":"Optimal Control of a Linear Distributed Parameter System via Shifted Legendre Polynomials","authors":"Sanjeeb Kumar Kar","country":null,"institution":"","volume":44,"journal":"International Journal of Mathematical and Computational Sciences","pagesStart":1171,"pagesEnd":1177,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/5466","abstract":"The optimal control problem of a linear distributed\r\nparameter system is studied via shifted Legendre polynomials (SLPs)\r\nin this paper. The partial differential equation, representing the\r\nlinear distributed parameter system, is decomposed into an n - set\r\nof ordinary differential equations, the optimal control problem is\r\ntransformed into a two-point boundary value problem, and the twopoint\r\nboundary value problem is reduced to an initial value problem\r\nby using SLPs. A recursive algorithm for evaluating optimal control\r\ninput and output trajectory is developed. The proposed algorithm is\r\ncomputationally simple. An illustrative example is given to show the\r\nsimplicity of the proposed approach.","references":null,"publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 44, 2010"}