Deterministic and Stochastic Time-Delay Systems
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear shastic systems, which makes their control in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna­ tive consists of linearizing the nonlinear dynamical shastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and shastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
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Deterministic and Stochastic Time-Delay Systems
Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear shastic systems, which makes their control in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna­ tive consists of linearizing the nonlinear dynamical shastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and shastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.
109.99 In Stock
Deterministic and Stochastic Time-Delay Systems

Deterministic and Stochastic Time-Delay Systems

by El-Kebir Boukas, Zi-Kuan Liu
Deterministic and Stochastic Time-Delay Systems

Deterministic and Stochastic Time-Delay Systems

by El-Kebir Boukas, Zi-Kuan Liu

Hardcover(2002)

$109.99 
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Overview

Most practical processes such as chemical reactor, industrial furnace, heat exchanger, etc., are nonlinear shastic systems, which makes their control in general a hard problem. Currently, there is no successful design method for this class of systems in the literature. One common alterna­ tive consists of linearizing the nonlinear dynamical shastic system in the neighborhood of an operating point and then using the techniques for linear systems to design the controller. The resulting model is in general an approximation of the real behavior of a dynamical system. The inclusion of the uncertainties in the model is therefore necessary and will certainly improve the performance of the dynamical system we want to control. The control of uncertain systems has attracted a lot of researchers from the control community. This topic has in fact dominated the research effort of the control community during the last two decades, and many contributions have been reported in the literature. Some practical dynamical systems have time delay in their dynamics, which makes their control a complicated task even in the deterministic case. Recently, the class ofuncertain dynamical deterministic systems with time delay has attracted some researchers, and some interesting results have been reported in both deterministic and shastic cases. But wecan't claim that the control problem ofthis class ofsystems is completely solved; more work must be done for this class of systems.

Product Details

ISBN-13: 9780817642457
Publisher: Birkh�user Boston
Publication date: 03/01/2002
Series: Control Engineering
Edition description: 2002
Pages: 423
Product dimensions: 6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1 Introduction.- 1.1 Examples.- 1.2 Notation and Abbreviations.- 1.3 Dynamical Systems with Time Delay.- 1.4 Outline of the Book.- 1.5 Notes.- I Deterministic Control.- 2 Deterministic Time Delay Systems.- 3 Stability and Stabilizability.- 4 Robust Stability and Robust Stabilizability.- 5 H?Control and Filtering.- 6 Robust H?Control, Filtering, and Guaranteed Cost Control.- II Shastic Control.- 7 Shastic Time Delay Systems.- 8 Stability and Stabilizability of Markov Jump Systems.- 9 Robust Stability and Stabilizability of Jump Linear Uncertain Systems with Time Delay.- 10 H?Control and Filtering Problems for Markov Jump Systems with Time Delay.- 11 Robust H?and Guaranteed Cost Control for Jump Linear Systems with Time Delay.- 12 Nonlinear Shastic Control Problem.- A Linear Matrix Inequality and Preliminary Lemmas.- B Matrix Inversion Formulas.- C Kronecker Product.- D Markov Process.- References.
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