Collaborative fault tolerant control for stochastic distribution.pdf
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Proceedings of the 2011 International Conference on
Advanced Mechatronic Systems, Zhengzhou, China, August 11-13, 2011
Collaborative fault tolerant control for stochastic distribution
systems
Yuwei Ren, Aiping Wang, and Hong Wang, Senior Member, IEEE
Ahstract-This paper is concerned with the collaborative
fault tolerant controller design problem for m non-Gaussian
collaborative stochastic distribution systems which connect in
series. The main idea for this paper is that when fault occurs in
one of the subsystems, a collaborative fault tolerant controller
will be designed for one of the rest healthy subsystems based on
the non-fault controller and fault diagnosis value. This
controller can accommodate the fault and guarantee that the
whole systems still have a good tracking performance.
I. INTRODUCTION
T
o improve the reliability of control systems, fault
diagnosis and fault tolerant control techniques have long
been regarded as an important and integrated part in modern
control systems [1-3]. For stochastic systems, in the past two
decades many significant approaches have been presented
and applied in practical processes successfully [4-6]. A
common feature in these works is that all variables in the
system are supposed to obey a Gaussian distribution and only
the output mean and variance are controlled. Different from
any other previous stochastic control approaches, the
variables can be non-Gaussian in references [7-9] and the
concerned output is, in fact, the whole shape of the output
probability distribution function (PDF). The objective of the
controller design is therefore, to find a crisp control input,
namely the PDF control, so that the shape of output PDF can
follow a given distribution.
On the other hand, for complex stochastic processes,
nonlinearity will generally lead to non-Gaussian outputs even
if the stochastic inputs are Gaussian. If the output obeys an
asymmetric PDF with multiple peaks, theoretically the
classic
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