Name
Abstract | ||
|---|---|---|
This paper presents design of nonlinear feedback controllers for two different models representing evacuation dynamics in one dimension. The models presented here are based on the laws of conservation of mass and momentum. The first model is the classical one equation model for a traffic flow based on conservation of mass with a prescribed relationship between density and velocity. The other model is a two equation model in which the velocity is independent of the density. This model is based on conservation of mass and momentum. The equations of motion in both cases are described by nonlinear partial differential equations. We address the feedback control problem for both models. The objective is to synthesize a nonlinear distributed feedback controller that guarantees stability of a closed loop system. The problem of control and stability is formulated directly in the framework of partial differential equations. Sufficient conditions for Lyapunov stability for distributed control are derived |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/ITSC.2006.1706810 | ITSC |
Keywords | Field | DocType |
lyapunov methods,closed loop systems,control system synthesis,distributed control,feedback,nonlinear control systems,partial differential equations,traffic control,1d evacuation system,lyapunov stability,closed loop system,evacuation dynamics,mass conservation,nonlinear distributed feedback control design,nonlinear partial differential equation,stability analysis,traffic flow,partial differential equation,nonlinear control theory,momentum,feedback control,mass,conservation of mass,stability,conservation of momentum,two dimensions,mathematical models,equation of motion,conservation laws | Nonlinear system,Control theory,Nonlinear control,Lyapunov stability,Equations of motion,Mathematical model,Partial differential equation,Mathematics,Conservation of mass,Conservation law | Conference |
ISBN | Citations | PageRank |
1-4244-0094-5 | 7 | 0.97 |
References | Authors | |
1 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sabiha Amin Wadoo | 1 | 21 | 3.24 |
| Pushkin Kachroo | 2 | 201 | 31.04 |