A new self-tuning controller to solve the servomechanism problem

1 December 1987

proceedings article
Published by Institute of Electrical and Electronics Engineers (IEEE)

https://doi.org/10.1109/cdc.1987.272511

Abstract

The design of "universal regulators" which can adaptively stabilize unknown linear time-invariant (LTI) systems has been a recent topic of interest. Martensson[1] has shown that the order of any LTI stabilizing regulator is sufficient a priori information in order to achieve adaptive stabilization of a minimal LTI plant. A more practical stabilizing regulator which requires the same a priori information about a stabilizable and detectable plant is given in [2]. In this paper we use the ideas of [2] to design a controller to solve the servomechanism problem for an unknown system under very mild assumptions on the plant.

Keywords

SERVOMECHANISMS
REGULATORS
ROBUST CONTROL
CONTROL SYSTEMS
ROBUST STABILITY
ERROR CORRECTION
ADAPTIVE CONTROL
DIFFERENTIAL EQUATIONS
ASYMPTOTIC STABILITY

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