Design of low sensitivity controllers: Preregulator approach

Abstract

Since the trajectory sensitivity can not be modeled accurately in a closed-loop formulation, the linear preregulator design techniques are investigated to approximate the sensitivity information, and two methods leading to transfer-function matrix form are developed. The obtained control systems have shown much improvement in reducing the sensitivity, specially for Method B. The advantages of Method B over Method A are that the difficulty of obtaining the steady state control law in terms of the reference input can be prevented and that the controller containing an integral action can be obtained to ensure that there is no steady-state error.

Low‐sensitivity controllers for discrete‐time systems

“…Thus, the sensitivity vector can be approximated by At the steady-state, one obtains =IT« l (l)w.+C=0 [10] where u, is the steady-state value of the control vector. By applying Eq.…”

“…4(1985) the continuous-time systems. In this paper, the criteria provided in previous work (9)(10) are extended to the discrete-time control systems.…”

“…Liou et al (9)(10) define the cost function from the concept of optimal tracking and the inclusion of a weighting on the quadratic trajectory sensitivity term and solve the problems from the point of view of frequency-domain optimal theory.…”

“…The problem of trajectory sensitivity considered in the literature (8)(9)(10) was restricted to Journal of the Chinese Institute of Engineers. Vol.…”