Singularly perturbed implicit control law for linear time varying SISO systems. (13th January 2013)

• Record Type: Journal Article
• Authors: Puga, S.; Bonilla, M.; Malabre, M.; Lozano, R.
• Is Part Of: International journal of robust and nonlinear control. Volume 24:Number 10(2014)
• Page Start: 1530
• Page End: 1549
• Publication Date: 2013-01-13
• Subjects: Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.2946
• Languages: English
• ISSNs: 1049-8923

Abstract

<abstract abstract-type="main" id="rnc2946-abs-0001"> <title>SUMMARY</title> <p id="rnc2946-para-0001">This paper considers the problem of stabilizing a single‐input single‐output linear time varying system using a low order controller and a reference model. The closed loop is a linear singularly perturbed system with uniform asymptotic stability behavior. We calculate bounds <italic>ϵ</italic> ∈ (0, <italic>ϵ</italic>^*) as in Kokotović's book, such that the uniform asymptotic stability of the singularly perturbed system is guaranteed. We show how to design a control law such that the system dynamics is assigned by a Hurwitz polynomial with constant coefficients. Copyright © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>