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Partial Stability, Input-to-State Stability And Their Two Applications

Posted on:2008-10-15Degree:MasterType:Thesis
Country:ChinaCandidate:W H HuFull Text:PDF
GTID:2178360245992811Subject:Detecting Technique & Automation Device
Abstract/Summary:PDF Full Text Request
In this thesis, the theories of partial stability/control and input-to-state stability are firstly introduced, and then based on these theories two studies are done. The first is that a general approach of partial control design for system control and synchronization is proposed. It turns control problems into simpler ones by reducing their control variables. This is realized by utilizing the dynamical relations between variables, which are described by the dynamical relation matrix and the dependence-influence matrix. By adopting partial control theory, the presented approach provides a simple and general way to stabilize systems to their partial or whole equilibriums, or to synchronize systems with their partial or whole states. Further, based on this approach, the controllers can be simplified. Two examples of synchronizing chaotic systems are given to illustrate its effectiveness.The second is that the issue of white-noise-aided control is considered and its availability is proved. And a noise-aiding way is developed to stabilize perturbed systems to be input-to-state stable (ISS) with respect to (w.r.t.) the perturbation. To illustrate its effectiveness, the noise-aided control of a parameter perturbed chaotic Chen system is given as an example. And numerically, it shows that, comparing with the un-noise-aided case, noise-aided control can not only shorten the control's transient process but also save its cost. These are also demonstrated by various aiding noises such as common (symmetric) noise and non-common (independent or asymmetric) noise, where common noise is found to be the most efficient in enhancing the control.
Keywords/Search Tags:partial stability, partial control, input-to-state stability, white noise, synchronization, chaotic systems, perturbation
PDF Full Text Request
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