Title :
The bang-bang funnel controller
Author :
Liberzon, Daniel ; Trenn, Stephan
Author_Institution :
Coordinated Sci. Lab., Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA
Abstract :
A bang-bang controller is proposed which is able to ensure reference signal tracking with prespecified time-varying error bounds (the funnel) for nonlinear systems with relative degree one or two. For the design of the controller only the knowledge of the relative degree is needed. The controller is guaranteed to work when certain feasibility assumptions are fulfilled, which are explicitly given in the main results. Linear systems with relative degree one or two are feasible if the system is minimum phase and the control values are large enough.
Keywords :
bang-bang control; control system synthesis; nonlinear control systems; time-varying systems; bang bang funnel controller; controller design; linear system; nonlinear system; reference signal tracking; time varying error bound system; Computer aided software engineering; Differential equations; Inductors; Linear systems; Nonlinear systems; Switches;
Conference_Titel :
Decision and Control (CDC), 2010 49th IEEE Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-7745-6
DOI :
10.1109/CDC.2010.5717742
