Sensitivity of the performance of optimal control systems to plant parameter variations

Abstract

Publisher Summary This chapter discusses the sensitivity of the performance of optimal control systems to plant parameter variations. The problem or determining the change in value or a performance index with parameter variations, and outlined a method or computing the performance index sensitivity functions is considered. The system to be controlled is described by the vector differential equation x = f (t, x, u, a), x(t0) = x0, where x is a n-dimensional column vector representing the state of the plant and u is an r-dimensional column vector representing the control input. The vector a = (a1, a2, …, am) represents a set of plant parameters. The chapter also discusses closed- and open-loop systems.