| Summary: | 博士 === 國立中央大學 === 機械工程研究所 === 96 === Independent component analysis (ICA) is a signal processing and statistical
method designed to separate independent sources given only observed or
measured data that are mixtures of some unknown sources. These unknown
sources are assumed to be non-Gaussian and mutually independent. In addition,
controlling chaos of chaotic nonlinear systems has been received much attention
and becomes more important for many industrial applications. Furthermore,
chaos synchronization between master and slave chaotic systems has been
attractive topic for its potential applications for secure communications. State
feedback control for canceling disturbance and nonlinearity of control systems
has been systematic and well developed. In this dissertation, based upon these
techniques as mention above, a new scheme has been proposed to combine the
ICA method for separating chaotic signals from measured white noise with a
state feedback control for cancelling nonlinearity of chaotic system.
In this study, we first develop a systematic procedure of state feedback
control, based on a Lur’e-type system, to analyze the synchronization of two
chaotic systems in the presence of random white noise. With the aid of the
proposed modified independent component analysis, the real chaotic signal can
be extracted from a noisy source where the chaotic signal has been contaminated
by random white noise. The synchronization time can be arbitrarily designed
to guarantee stability, even if the system’s output is corrupted by measurement
noise. Secondly, we combine a modified independent component analysis
approach with an approach for feedback cancellation of nonlinear terms. This
approach to engineering control can be utilized to efficiently govern a noisy
chaotic system. The methodology is easy to comprehend and to implement,
but previous knowledge of the system dynamics is needed. Two examples are
provided to show the effectiveness of the proposed scheme. Finally, the results
of the thesis demonstrate the fruitfulness of the state feedback and the ICA
theory application to the synchronization and control problems for noisy chaotic
systems. The new scheme is first used for control systems with measurement
noise which can replace the conventional Kalman filter.
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