Name
Title | ||
|---|---|---|
Generation of stable limit cycles with prescribed frequency and amplitude via polynomial feedback |
Abstract | ||
|---|---|---|
We consider a controllable linear time invariant model in state space of dimension n which might be the Jacobian linearization of a nonlinear model. Alternatively it may arise from a preceding input-output or input-state linearization. The usual objective for such systems is to stabilize an equilibrium. However, it might as well be interesting to have a stable limit cycle around the equilibrium. So far, limit cycles are often studied in the context of nonsmooth dynamics. In contrast, our approach results in a smooth and simple feedback. The first step is to impose a pair of purely imaginary eigenvalues to the system while the second one is to construct a bilinear form with which the resulting oscillations can be stabilized at a given amplitude. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1109/SSD.2012.6197994 | Systems, Signals and Devices |
Keywords | DocType | ISBN |
eigenvalues and eigenfunctions,feedback,linear systems,linearisation techniques,nonlinear systems,polynomials,stability,time-varying systems,jacobian linearization,bilinear form,controllable linear time invariant model,equilibrium stabilization,nonlinear model,nonsmooth dynamics,polynomial feedback,preceding input-output linearization,preceding input-state linearization,prescribed amplitude,prescribed frequency,purely imaginary eigenvalues,stable limit cycle generation,state space,limit cycle,oscillations,trajectory,mathematical model,eigenvalues,input output,linear time invariant,oscillators | Conference | 978-1-4673-1589-0 |
Citations | PageRank | References |
2 | 0.42 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Knoll, C. | 1 | 2 | 0.42 |
| Robenack, K. | 2 | 2 | 0.42 |