Control of linear systems subject to input constraints: a polynomial approach

A polynomial approach is pursued For locally stabilizing discrete-time line ar systems subject to input constraints. Using the Youla-Kucera parametriza tion and geometric properties of polyhedra and ellipsoids, the problem of s imultaneously deriving a stabilizing controller and the corresponding stabi lity region is cast into standard convex optimization problems solved by li near, second-order cone and semidefinite programming. Key topics are touche d on such as stabilization of multi-input multi-output plants or maximizati on of the size of the stability domain. Readily implementable algorithms ar e described. (C) 2001 Elsevier Science Ltd. All rights reserved.