Generation of stable limit cycles with prescribed frequency and amplitude via polynomial feedback
Research output: Contribution to book/conference proceedings/anthology/report › Conference contribution › Contributed › peer-review
Contributors
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.
Details
Original language | English |
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Title of host publication | International Multi-Conference on Systems, Signals and Devices, SSD 2012 - Summary Proceedings |
Publication status | Published - 2012 |
Peer-reviewed | Yes |
Publication series
Series | IEEE SSD International Multi-Conference on Systems, Signals and Devices |
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Conference
Title | 9th International Multi-Conference on Systems, Signals and Devices, SSD 2012 |
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Duration | 20 - 23 March 2012 |
City | Chemnitz |
Country | Germany |
External IDs
ORCID | /0000-0002-3347-0864/work/142255185 |
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