Recent advances in control of time delay systems-a tutorial review

Watanabe, Keiji; Nobuyama, Eitaku; Kojima, Akira

doi:10.1109/cdc.1996.572898

Cited by 54 publications

(16 citation statements)

References 46 publications

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“…Proof: The plant and AWC parameterizations are given by (1) and (4), respectively. Using the (5) By putting the values of and , we get (6) By applying the transformation [20] to (6), we obtain (7) Hence, the mapping is same for both of the structures shown above. Now consider the second mapping .…”

Section: A Theoremmentioning

confidence: 99%

“…To accomplish this goal the delay effects are considered within control methods. Delay properties are beneficial for control (for example, for ODEs: stabilization [3]) delayed resonators [4], time-delay controllers and observers, nonlinear limit cycle control [5] and deadbeat control [6]. Control of a systems subject to delay is very challenging because they are infinite dimensional and a small disturbance in operating conditions changes the system dynamics largely.…”

Section: Introductionmentioning

confidence: 99%

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Decoupled-architecture-based anti-windup design for time-delay systems

Zia

Lashari

Rehan

2013

2013 International Conference on Open Source Systems and Technologies

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Windup is a problem in control of time delay systems which is produced due to saturated actuators that may lead to oscillations and long settling times as well as instability. This problem is addressed by designing an anti-windup compensator (AWC), which makes the system performance better in the case of actuator saturation. There are different techniques to design AWC for linear, nonlinear and time-delay systems. One of them is decoupled architecture based technique, which provides better performance. It is used for linear and nonlinear systems so for. In this paper, the work on decoupled architecture based AWC design technique is further enhanced for time-delay systems. A novel architecture to design AWC for linear time-delay systems containing state-delays is proposed. Further, linear matrix inequalities are formulated which ensures performance and stability in order to deal with windup problems. A numerical example, provided, validates the proposed framework for timedelay systems.

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Section: A Theoremmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Decoupled-architecture-based anti-windup design for time-delay systems

Zia

Lashari

Rehan

2013

2013 International Conference on Open Source Systems and Technologies

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“…Nevertheless, it is known that the voluntary introduction of delay in the control of an undelayed system could benefit the control process. For instance, delay can be used to create a limit cycle for nonlinear systems [11], to perform deadbeat tracking for continuous-time systems [12], or to stabilize oscillatory systems [13], [14]. Given a continuous-time linear time-invariant (LTI) controller, the primary objective of this paper is to show that the controller can be approximated arbitrarily precisely by a simple delay-based controller.…”

Section: Introductionmentioning

confidence: 99%

Simple delay-based implementation of continuous-time controllers

Lavaei

Sojoudi

Murray

2010

Proceedings of the 2010 American Control Conference

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Abstract-The objective of this work is to study the benefits that delay can provide in simplifying the control process of large-scale systems, motivated by the availability of different types of delays in man-made and biological systems. We show that a continuous-time linear time-invariant (LTI) controller can be approximated by a simple controller that mainly uses delay blocks instead of integrators. More specifically, three methods are proposed to approximate a pre-designed stabilizing LTI controller arbitrarily precisely by a simple delay-based controller composed of delay blocks, a few integrators and possibly a unity feedback. Different problems associated with the developed approximation procedures, such as finding the optimal number of delay blocks or studying the robustness of the designed controller with respect to delay values, are then addressed.

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“…The existence of time delay is frequently a source of instability, see [1], [2]. Among many contributions on time-delay systems (see [3] for a review), robust H ∞ control for linear state-delayed systems were studied in [4] using the linear matrix inequality method, and in [5] using backstepping for systems with delay in control. Decentralized control for large-scale time-delay interconnected systems has also received considerable attention.…”

Section: Introductionmentioning

confidence: 99%

Decentralized Disturbance Attenuation for Large-Scale Nonlinear Systems With Delayed State Interconnections

Guo

2006

Control and Intelligent Systems

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Abstract-The problem of decentralized disturbance attenuation is considered for a new class of large-scale nonlinear systems with delayed state interconnections. This class of largescale time-delay systems broadens most existing classes of large-scale time-delay systems in that the uncertain interconnections are bounded by general nonlinear functions instead of linear or polynomial-type functions. It is shown that by decentralized memoryless state feedback control, the closedloop system achieves internal global asymptotical stability in the sense of Lyapunov and external stability in the sense of L 2 gain. Nonlinear Lyapunov-Krasovskii functionals are constructed which renders the linear and polynomial-type growth conditions on the interconnections as special cases.

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Recent advances in control of time delay systems-a tutorial review

Cited by 54 publications

References 46 publications

Decoupled-architecture-based anti-windup design for time-delay systems

Decoupled-architecture-based anti-windup design for time-delay systems

Simple delay-based implementation of continuous-time controllers

Decentralized Disturbance Attenuation for Large-Scale Nonlinear Systems With Delayed State Interconnections

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