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Stability, Control and Application of Time-Delay Systems gives a systematic description of these systems. It includes adequate designs of integrated modeling and control and frequency characterizations. Common themes revolve around creating certain synergies of modeling, analysis, control, computing and applications of time delay systems that achieve robust stability while retaining desired performance quality. The book provides innovative insights into the state-of-the-art of time-delay systems in both theory and practical aspects. It has been edited with an emphasis on presenting constructive theoretical and practical methodological approaches and techniques.
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Time-delay occurs in many physical, industrial and engineering systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactors, hydraulic systems and electrical networks, to name a few. The reason for the occurrence could be attributed to inherent physical phenomena like mass transport flow or recycling. It could result from the finite capabilities of information processing and data transmission among various parts of the system. In addition, they could be by-products of computational delays or could be intentionally introduced for some design consideration. Such delays could be constant or time varying, known or unknown, deterministic or stochastic depending on the system under consideration. In recent years, time-delay, which exists in networked control systems, has brought more complex problems into a new research area. Frequently, it is a source of the generation of oscillation, instability and poor performance. Therefore, the subject of Time-Delay Systems (TDS) has been investigated as functional differential equations over the past four decades. Because the presence of the delay factor renders the system analysis more complicated, the problems of stability and stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delays. More attention is paid to the synthesis of systems with time-delay. That is, control of nonlinear systems with delay; networked control systems; positive delay systems; fuzzy systems; and reset control with random delay are all analyzed within this book--
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This book comprehensively presents a recently developed novel methodology for analysis and control of time-delay systems. Time-delays frequently occurs in engineering and science. Such time-delays can cause problems (e.g. instability) and limit the achievable performance of control systems. The concise and self-contained volume uses the Lambert W function to obtain solutions to time-delay systems represented by delay differential equations. Subsequently, the solutions are used to analyze essential system properties and to design controllers precisely and effectively.
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Control theory. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control --- Dynamics --- Machine theory
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Control theory. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control --- Dynamics --- Machine theory
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Analysis and control of time-delayed systems have been applied in a wide range of applications, ranging from mechanical, control, economic, to biological systems. Over the years, there has been a steady stream of interest in time-delayed dynamic systems, this book takes a snap shot of recent research from the world leading experts in analysis and control of dynamic systems with time delay to provide a bird's eye view of its development. The topics covered in this book include solution methods, stability analysis and control of periodic dynamic systems with time delay, bifurcations, stochastic
Feedback control systems. --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control --- Feedback mechanisms --- Feedback systems --- Automatic control --- Automation --- Discrete-time systems --- Adaptive control systems --- Feedforward control systems --- Dynamics --- Time delay systems
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Time delay systems --- Systèmes à retard --- Automatic control. --- Time delay systems. --- Automatic control --- Mechanical Engineering --- Engineering & Applied Sciences --- Mechanical Engineering - General --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Control engineering --- Control equipment --- Engineering. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Feedback control systems --- Process control --- Control theory --- Engineering instruments --- Automation --- Programmable controllers --- Systems theory. --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Machine theory
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Time delays exist in many engineering systems such as transportation, communication, process engineering and networked control systems. In recent years, time delay systems have attracted recurring interests from research community. Much of the effort has been focused on stability analysis and stabilization of time delay systems using the so-called Lyapunov-Krasovskii functional together with a linear matrix inequality approach, which provides an efficient numerical tool for handling systems with delays in state and/or inputs. Recently, some more interesting and fundamental development for systems with input/output (i/o) delays has been made using time domain or frequency domain approaches. These approaches lead to analytical solutions to time delay problems in terms of Riccati equations or spectral factorizations. This monograph presents simple analytical solutions to control and estimation problems for systems with multiple i/o delays via elementary tools such as projection. We propose a re-organized innovation analysis approach for delay systems and establish a duality between optimal control of systems with multiple input delays and smoothing estimation for delay free systems. These appealing new techniques are applied to solve control and estimation problems for systems with multiple i/o delays and state delays under both the H2 and H-infinity performance criteria.
Automatic control. --- Time delay systems. --- H2 control. --- Kalman filtering. --- Commande automatique --- Systèmes à retard --- Kalman, filtrage de --- Automatic control --- Time delay systems --- H2 control --- Kalman filtering --- Mechanical Engineering - General --- Mechanical Engineering --- Engineering & Applied Sciences --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Filtering, Kalman --- Linear quadratic Gausian control --- LQG control --- Control engineering --- Control equipment --- Engineering. --- System theory. --- Control engineering. --- Robotics. --- Mechatronics. --- Control, Robotics, Mechatronics. --- Systems Theory, Control. --- Feedback control systems --- Process control --- Control theory --- Estimation theory --- Prediction theory --- Stochastic processes --- Linear control systems --- Engineering instruments --- Automation --- Programmable controllers --- Systems, Theory of --- Systems science --- Science --- Philosophy --- Systems theory. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Machine theory
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This research addresses delay effects in nonlinear systems, which are ubiquitous in various fields of physics, chemistry, biology, engineering, and even in social and economic systems. They may arise as a result of processing times or due to the finite propagation speed of information between the constituents of a complex system. Time delay has two complementary, counterintuitive and almost contradictory facets. On the one hand, delay is able to induce instabilities, bifurcations of periodic and more complicated orbits, multi-stability and chaotic motion. On the other hand, it can suppress instabilities, stabilize unstable stationary or periodic states and may control complex chaotic dynamics. This thesis deals with both aspects, and presents novel fundamental results on the controllability of nonlinear dynamics by time-delayed feedback, as well as applications to lasers, hybrid-mechanical systems, and coupled neural systems.
Computational complexity. --- Nonlinear theories. --- System analysis. --- System theory. --- Nonlinear systems --- Time delay systems --- Civil & Environmental Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Atomic Physics --- Operations Research --- Nonlinear control theory. --- Physics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Control theory --- Nonlinear theories --- Statistical physics. --- Mathematical statistics --- Statistical methods --- Dynamical systems. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Statics
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Reliability (Engineering) --- Time delay systems. --- Time delay control --- Time delay control systems --- Time delay controllers --- Time-delayed systems --- Feedback control systems --- Process control --- Reliability of equipment --- Systems reliability --- Engineering --- Maintainability (Engineering) --- Probabilities --- Systems engineering --- Plant performance --- Safety factor in engineering --- Structural failures
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