Application of single-step method of block-pulse functions to the optimal control of linear distributed-parameter systems

Abstract

The optimal control of a linear distributed-parameter system is studied by employing the single-step method of block-pulse functions. A directly recursive algorithm for evaluating the optimal control and trajectory of a linear distributed-parameter system is developed. The proposed method is simple and computationally advantageous, and yields both block-pulse values and discrete values of the resulting solutions. A numerical example is given to illustrate the simplicity of the proposed method.