A novel online adaptive time delay identification technique

Bayrak, Alper; Tatlıcıoğlu, Enver

doi:10.1109/cdc.2011.6161145

“…Time delays often appear in various engineering systems, such as chemical processes, mechanical systems, transmission lines, and economic systems (Kolmanovskii and Myshkis, 1999;Niculescu, 2001;Richard, 2003;Yang et al, 2015;Bayrak and Tatlicioglu, 2016). The existence of time delays usually causes performance degradation and is frequently a source of instability.…”

Section: Introductionmentioning

confidence: 99%

Subspace-based identification of discrete time-delay system

Liu

¹

,

Ma

²

2016

Frontiers Inf Technol Electronic Eng

2

0

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We investigate the identification problems of a class of linear stochastic time-delay systems with unknown delayed states in this study. A time-delay system is expressed as a delay differential equation with a single delay in the state vector. We first derive an equivalent linear time-invariant (LTI) system for the time-delay system using a state augmentation technique. Then a conventional subspace identification method is used to estimate augmented system matrices and Kalman state sequences up to a similarity transformation. To obtain a state-space model for the time-delay system, an alternate convex search (ACS) algorithm is presented to find a similarity transformation that takes the identified augmented system back to a form so that the time-delay system can be recovered. Finally, we reconstruct the Kalman state sequences based on the similarity transformation. The time-delay system matrices under the same state-space basis can be recovered from the Kalman state sequences and input-output data by solving two least squares problems. Numerical examples are to show the effectiveness of the proposed method.

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Online time delay identification and control for general classes of nonlinear systems

Bayrak

¹

,

Tatlıcıoğlu

²

2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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Abstract-In this study, online identification of state delays is discussed. First, a novel adaptive time delay identification technique is proposed for general classes of autonomous nonlinear systems subject to state delays. As an extension, this technique is modified to design a tracking controller for general classes of nonlinear systems subject to state delays. The main novelty of this controller is that identification of unknown state delays is ensured while output tracking objective is satisfied. Extensive numerical simulations are presented that demonstrate the efficiency of the time delay identification algorithm and the tracking controller.

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Online time delay identification and control for general classes of nonlinear systems

Bayrak

¹

,

Tatlıcıoğlu

²

2013

Transactions of the Institute of Measurement and Control

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Abstract-In this study, online identification of state delays is discussed. First, a novel adaptive time delay identification technique is proposed for general classes of autonomous nonlinear systems subject to state delays. As an extension, this technique is modified to design a tracking controller for general classes of nonlinear systems subject to state delays. The main novelty of this controller is that identification of unknown state delays is ensured while output tracking objective is satisfied. Extensive numerical simulations are presented that demonstrate the efficiency of the time delay identification algorithm and the tracking controller.

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A novel online adaptive time delay identification technique

Cited by 3 publications

References 27 publications

Subspace-based identification of discrete time-delay system

Subspace-based identification of discrete time-delay system

Online time delay identification and control for general classes of nonlinear systems

Online time delay identification and control for general classes of nonlinear systems

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