Name
Abstract | ||
|---|---|---|
In this paper, we consider a problem of stabilization of an ODE-Schrodinger cascade, where the interconnection between them is bi-directional at a single point. By using the backstepping approach, which uses an invertible Volterra integral transformation together with the boundary feedback to convert the unstable plant into a well-damped target system, the target system in our case is given as a PDE-ODE cascade with exponential stability at the pre-designed decay rate. Instead of one-step backstepping control, which results in difficulty in finding the kernels, we develop a two-step backstepping control design by introducing an intermediate target system and an intermediate control. The exponential stability of the closed-loop system is investigated using the Lyapunov method. A numerical simulation is provided to illustrate the effectiveness of the proposed design. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.sysconle.2013.03.003 | Systems and Control Letters |
Keywords | DocType | Volume |
lyapunov method,two-step backstepping control design,stabilization problem,ode-schrödinger cascade,pde-ode cascade,asymptotic stability,boundary feedback,volterra equations,unstable plant,control system synthesis,invertible volterra integral transformation,intermediate control,closed-loop system,partial differential equation,cascade control,feedback,well-damped target system,decay rate,exponential stability,numerical simulation,partial differential equations,closed loop systems,lyapunov methods,ordinary differential equation,intermediate target system,backstepping,kernel,mathematical model | Journal | 62 |
Issue | ISSN | ISBN |
6 | null | 978-1-4673-2102-0 |
Citations | PageRank | References |
19 | 1.11 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Beibei Ren | 1 | 610 | 22.77 |
| Jun-Min Wang | 2 | 219 | 29.95 |
| Miroslav Krstic | 3 | 4987 | 553.84 |