Automatica, Vol.41, No.2, 305-313, 2005
Using stable input-output inversion for minimum-time feedforward constrained regulation of scalar systems
The paper approaches the feedforward minimum-time smooth control of non-minimum-phase linear scalar systems for set-point regulation. The aim is to synthesize a bounded input subject to non-saturating constraints on the input and its derivatives till a prespecified arbitrary order. The provided solution relies on a stable input-output dynamic inversion technique and an ad hoc parameterized family of output transition functions. The synthesized minimum-time input that exhibits pre- and post-actuation is determined by means of easily-implementable closed-form expressions. Examples are given to illustrate the methodology. (C) 2004 Elsevier Ltd. All rights reserved.
Keywords:dynamic inversion;set-point constrained regulation;smooth control;minimum-time;linear systems