Funnel control for boundary control systems
Copyright policy )Funnel control for boundary control systems
We study a nonlinear, non-autonomous feedback controller applied to boundary control systems. Our aim is to track a given reference signal with prescribed performance. Existence and uniqueness of solutions to the resulting closed-loop system is proved by using nonlinear operator theory. We apply our results to both hyperbolic and parabolic equations.
26 pages, thoroughly revised version. The system class has been generalized considerably. Added general example class of parabolic problems
- University of Twente Netherlands
parabolic PDEs, Hyperbolic PDEs, Secondary: 47H06, Mathematics - Analysis of PDEs, 93C40, nonlinear feedback, FOS: Mathematics, Primary: 93C20, boundary control systems, hyperbolic PDEs, funnel control, Mathematics - Optimization and Control, math.AP, Dissipative operators, math.OC, Control/observation systems governed by partial differential equations, dissipative operators, Operator-theoretic methods, Boundary control systems, Parabolic PDEs, Feedback control, Primary: 93C20, 93C40, Secondary: 47H06, Nonlinear feedback, Funnel control, Optimization and Control (math.OC), Nonlinear accretive operators, dissipative operators, etc., Analysis of PDEs (math.AP)
parabolic PDEs, Hyperbolic PDEs, Secondary: 47H06, Mathematics - Analysis of PDEs, 93C40, nonlinear feedback, FOS: Mathematics, Primary: 93C20, boundary control systems, hyperbolic PDEs, funnel control, Mathematics - Optimization and Control, math.AP, Dissipative operators, math.OC, Control/observation systems governed by partial differential equations, dissipative operators, Operator-theoretic methods, Boundary control systems, Parabolic PDEs, Feedback control, Primary: 93C20, 93C40, Secondary: 47H06, Nonlinear feedback, Funnel control, Optimization and Control (math.OC), Nonlinear accretive operators, dissipative operators, etc., Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!