Title :
Information structures preserved under nonlinear time-varying feedback
Author :
Rotkowitz, Michael
Author_Institution :
Dept. of Electr. Eng., R. Inst. of Technol., Stockholm
Abstract :
The problem of parameterizing all stabilizing controllers subject to constraints is considered. A new condition relating the plant and the constraints are introduced, and it is shown that when it holds, the constraints are invariant under feedback. There is no assumption of linearity or time-invariance on either the plant or the admissible controllers, only causality. There is also no assumption that the constraint set be a subspace, only that it is closed. The results hold in continuous time or discrete time. When the condition holds, we then obtain a parameterization of all stabilizing controllers subject to the specified constraints, which is a convex parameterization as long as the desired constraint set is convex
Keywords :
feedback; nonlinear control systems; stability; time-varying systems; continuous time system; convex constraint set; convex parameterization; discrete time system; information structure; invariant constraint set; nonlinear time-varying feedback; stabilizing controller; Distributed control; Feedback; Linearity; Subspace constraints; Terminology; USA Councils;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657379