Stabilization of unstable systems with input constraints

Navneet Kapoor, Prodromos Daoutidis

Research output: Contribution to journalConference articlepeer-review

5 Scopus citations


This article deals with the synthesis of stabilizing controllers for unstable linear systems and feedback linearizable unstable nonlinear systems, and the estimation of closed-loop regions of stability, in the presence of input constraints. The proposed methodology involves reducing the problem of stabilizing a system of arbitrary dimension into one of stabilizing a subsystem of dimension one, such that the stability of the overall system is ensured by a guaranteeing the stability of the latter. The desirable features of the proposed methodology are its ease of implementation and its relative non-conservativeness over existing approaches; these are demonstrated by applying the proposed methodology to a chemical reactor example and comparing it with a Lyapunov-based approach.

Original languageEnglish (US)
Pages (from-to)3192-3196
Number of pages5
JournalProceedings of the American Control Conference
StatePublished - Jan 1 1995
EventProceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA
Duration: Jun 21 1995Jun 23 1995


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