Showing papers by "Edward J. Davison published in 1993"
TL;DR: It is shown that perfect rejection to disturbances applied to the plant input can be achieved no matter whether the system is minimum phase or non-minimum phase, whereas a fundamental limitation exists in the achievable transient performance of tracking and rejection.
328 citations
TL;DR: A switching controller is presented which will carry out asymptotic error regulation for constant reference and constant disturbance signals which are compatible with the control input constraint, assuming that the plant is asymPTotically stable.
49 citations
TL;DR: In this article, the real structured stability radius with respect to an arbitrary stability region in the complex plane has been derived and a formula can be easily computed to obtain the real stability radius.
34 citations
TL;DR: In this paper, the pH control problem in a continuous stirred tank reactor is studied from both atheoretical and application point of view, and a reaction invariant model for an acid-base system is utilized.
7 citations
TL;DR: It is proved that under a closed-loop causality constraint, moving to a nonlinear time-varying controller affords no reduction of conditions for solvability via a linear time-invariant controller.
Abstract: In this paper we consider the problem of asymptotic model matching, in which the objective is to force the plant to behave asymptotically like a reference model in response to an exogenous input. Conditions for solvability via a linear time-invariant controller are well known; here we prove that under a closed-loop causality constraint, moving to a nonlinear time-varying controller affords no reduction of these conditions. We explore the ramifications of this result to the (ideal) model reference adaptive control problem, demonstrating that (i) an upper bound on the plant relative degreemust be known, and (ii) the plant zeros in the closed right half-planemust lie in a finite set. We also derive a bound on the achievable asymptotic performance in the event that the solvability conditions fail to hold.
3 citations
17 Oct 1993
TL;DR: In this paper, the complexity of the perfect robust servomechanism controller is shown to be solely a function of the infinite transmission zeros of the plant, and other related high frequency plant parameters.
Abstract: The design of the perfect robust servomechanism controller introduced by Davison-Scherzinger (1987) is treated anew by using a singular perturbation approach and multivariable root-loci approach in the frequency domain. It is shown that the complexity of the perfect controller required to solve the robust servomechanism problem is solely a function of the infinite transmission zeros of the plant, and other related high frequency plant parameters. >
1 citations