Name
Title | ||
|---|---|---|
Sliding mode boundary control of unstable parabolic PDE systems with parameter variations and matched disturbances |
Abstract | ||
|---|---|---|
This paper considers the stabilization problem of a one-dimensional unstable heat conduction system subject to parametric variations and boundary uncertainties. This system is modeled as a parabolic partial differential equation (PDE) and is only powered from one boundary with a Dirichlet type of actuator. By taking the Volterra integral transformation, we obtain a nominal PDE with asymptotic stability characteristics in the new coordinates when an appropriate boundary control input is applied. The associated Lyapunov function can then be used for designing an infinite-dimensional sliding surface, on which the system exhibits exponential stability, invariant of the bounded matched disturbance, and is robust against certain types of parameter variations. A continuous variable structure boundary control law is employed to attain the sliding mode on the sliding surface. The proposed method can be extended to other parabolic PDE systems such as diffusion-advection system. Simulation results are demonstrated and compared with the other outstanding back-stepping control schemes. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1109/ACC.2009.5160481 | St. Louis, MO |
Keywords | DocType | ISSN |
distributed-parameter systems,parameter variation,reaction-diffusion systems,stabilization problem,back-stepping control,sliding surface,mode boundary control,asymptotic stability,volterra equations,parabolic partial differential equation,unstable parabolic pde system,system subject,volterra integral transformation,1d unstable heat conduction system,continuous variable structure boundary control,outstanding back-stepping control scheme,parabolic equations,chattering,control law,infinite-dimensional sliding surface,sliding mode boundary control,exponential stability,asymptotic stability characteristic,nominal pde,appropriate boundary control input,diffusion-advection system,boundary control input,distributed parameter systems,partial differential equations,heat conduction,boundary uncertainty,heat systems,boundary control,continuous variable structure boundary,dirichlet actuator type,lyapunov methods,variable structure systems,parabolic pde system,sliding mode control,probability density function,actuators,lyapunov function,kernel,distributed parameter system,integral transforms,control systems,data mining,heating,integral equations,uncertainty | Conference | 0743-1619 E-ISBN : 978-1-4244-4524-0 |
ISBN | Citations | PageRank |
978-1-4244-4524-0 | 1 | 0.41 |
References | Authors | |
7 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Meng-Bi Cheng | 1 | 38 | 3.86 |
| Verica Radisavljevic | 2 | 29 | 2.28 |
| Wu-Chung Su | 3 | 75 | 14.43 |