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 language||English (US)|
|Number of pages||5|
|Journal||Proceedings of the American Control Conference|
|State||Published - Jan 1 1995|
|Event||Proceedings of the 1995 American Control Conference. Part 1 (of 6) - Seattle, WA, USA|
Duration: Jun 21 1995 → Jun 23 1995