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Over the past decades, although stochastic system control has been studied intensively within the field of control engineering, all the modelling and control strategies developed so far have concentrated on the performance of one or two output properties of the system, such as minimum-variance control or mean-value control. The general assumption used in the formulation of modelling and control strategies is that the distribution of the random signals involved is Gaussian. In this book, a set of new approaches for the control of the output probability density function of stochastic dynamic systems (those subjected to any bounded random inputs), has been developed. In this context, the purpose of control system design becomes the selection of a control signal that makes the shape of the system output's p.d.f. as close as possible to a given distribution. The book contains material on the subjects of: Control of single-input single-output and multiple-input multiple-output stochastic systems. Stable adaptive control of stochastic distributions. Model reference adaptive control. Control of nonlinear dynamic stochastic systems. Condition monitoring of bounded stochastic distributions. Control algorithm design. Singular stochastic systems. A new representation of dynamic stochastic systems is produced by using B-spline functions to describe the output p.d.f.
This book introduces novel control system design methodologies for stochastic dynamic systems, focusing on shaping the output probability density function (p.d.f.) rather than traditional performance metrics. It addresses systems subjected to bounded random inputs, moving beyond the Gaussian assumption prevalent in prior research. The core objective is to select control signals that align the system output's p.d.f. with a desired distribution, offering a new paradigm for stochastic control.
The book presents a specialized set of new approaches for controlling the output probability density function of stochastic dynamic systems. It details methods for single-input single-output and multiple-input multiple-output systems, including stable adaptive control, model reference adaptive control, and control of nonlinear systems. The work also covers condition monitoring, control algorithm design, and singular stochastic systems, introducing a new representation using B-spline functions. The technical depth and focus on advanced control theory suggest it is aimed at researchers and practitioners in the field of control engineering.
Page Count:
176
Publication Date:
2000-01-01
ISBN-10:
1447104811
ISBN-13:
9781447104810
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