Optimal control of sampled data systems by geometric programming

The optimal control problem with constrained control and fixed terminal bounds has been the subject of extensive study by several investigators. This paper presents a simple method of determining the control sequence of a discrete data system by applying the Geometric Programming Technique. For purposes of illustration, a simple nonlinear second order sampled data system has been analysed by applying the Geometric Programming Technique. The analysis presented in this paper brings out the considerable flexibility of use which Geometric Programming has, and which in the authors' opinion makes this method one of immense future potential in the realm of optimal control. © 1981.