Adaptive observer for a class of nonlinear systems with time‐varying delays

Mondal, Sharifuddin; Chung, Wan Kyun

doi:10.1002/acs.2331

Cited by 23 publications

(12 citation statements)

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“…As is well known, both uncertainty and time delay are often encountered in many practical control systems. Therefore, the robust control problem for uncertain time-delay systems has attracted a considerable amount of interests, and the adaptive control method is one of the effective ways to deal with the uncertain problem [1][2][3][4][5][6][7][8][9][10][11][12]. However, it is worth pointing out that the above mentioned results are infinite-time ones.…”

Section: Introductionmentioning

confidence: 99%

Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method

Yang

Guo

2017

Asian Journal of Control

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This paper investigates the adaptive finite-time robust control problem of a class of nonlinear time-delay Hamiltonian systems via the Lyapunov-Krasovskii (L-K) method, and proposes some delay-dependent results on the issue. Different from existing works, this paper first presents a time-varying finite-time stability (FTS) criterion via an L-K functional approach, and obtains two FTS conditions by constructing specific L-K functionals. Then, the adaptive finite-time robust control problem is investigated for nonlinear time-delay port-controlled Hamiltonian (PCH) systems, and a control design procedure is presented. Finally, the effectiveness of the results is demonstrated by an illustrative example.

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Section: Introductionmentioning

confidence: 99%

Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method

Yang

Guo

2017

Asian Journal of Control

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“…Although this topic has been extensively investigated in the literature, from both a theoretical and a practical perspective (see the papers [19]- [25] and [28]- [32]), only the most important results provided by the authors in the last 20 years are reported here, based on the so-called Luenberger-like observers, in praise of Luenberger seminal work [2]. The delay free case was originally proposed in [3], [4] and it has been subsequently extended to the case of large constant output delays [5], bounded [6] or unbounded [7] time-varying output delays, and also to systems with state delays [8], [9].…”

mentioning

confidence: 99%

Luenberger-Like Observers for Nonlinear Time-Delay Systems with Application to the Artificial Pancreas: The Attainment of Good Performance

Borri¹,

Cacace

Gaetano

et al. 2017

IEEE Control Syst.

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Analysis and control of time-delay systems has gained increasing interest in the last decades, due to the effectiveness of delay-differential equations in modeling a wide range of physical and engineering frameworks, such as ecological systems, industrial processes, telerobotic systems, earth controlled satellite devices and biomedical engineering. A further great impulse has been recently given by networked and distributed control, which may naturally induce non-negligible and possibly time-varying delays in the input/output channels. As in the case of systems described by ordinary differential equations, a crucial point in most advanced control approaches, such as optimal and robust control, is the possibility to solve the so-called observer problem, that is the design of algorithms that provide full information on the state of the system by real-time processing of few measurements. The reader can refer to the recent edited book on nonlinear delay systems and references therein [1]. Nonlinear time-delay systems are characterized by the presence of one or multiple delays in the input, state, or measurement equations. In particular, delays in the state equations occur

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“…In addition, a simultaneous state and disturbance estimator was proposed in [16] for time-delay continuous systems with application to fault diagnosis and fault tolerance. It is noted that all the results in [12][13][14][15][16] were focused on state delayed systems rather than output delayed systems.In many engineering systems, the output measurements are often subjected to non-negligible time delays. As a matter of fact, this type of time-delay occurs when the measured output data are transmitted via a low speed communication system.…”

mentioning

confidence: 99%

“…By using linear matrix inequality technique, a robust observer was presented in [14] for nonlinear discrete-time systems with time-delays. In [15], an adaptive observer was addressed for Lipschitz nonlinear systems with time-varying delays. In addition, a simultaneous state and disturbance estimator was proposed in [16] for time-delay continuous systems with application to fault diagnosis and fault tolerance.…”

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confidence: 99%

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Estimation and Compensation for Lipschitz Nonlinear Discrete-Time Systems Subjected to Unknown Measurement Delays

Gao

2015

IEEE Trans. Ind. Electron.

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Abstract-Unknown measurement delays usually degrade system performance, and even damage the system under output feedback control, which motivates us to develop an effective method to attenuate or offset the adverse effect from the measurement delays. In this paper, an augmented observer is proposed for discrete-time Lipschitz nonlinear systems subjected to unknown measurement delays, enabling a simultaneous estimation for system states and perturbed terms caused by the output delays. On the basis of the estimates, a sensor compensation technique is addressed to remove the influence from the measurement delays to the system performance. Furthermore, an integrated robust estimation and compensation technique is proposed to decouple constant piece-wise disturbances, attenuate other disturbances/noises, and offset the adverse effect caused by the measurement delays. The proposed methods are applied to a two-stage chemical reactor with delayed recycle, and an electro-mechanical servo system, which demonstrates the effectiveness of the present techniques.Index Terms-Discrete-time systems, measurement delays, nonlinear systems, observers, robustness, signal compensation. I. INTRODUCTIONIPSCHITZ nonlinear systems have attracted continuous interest during the last decades, since many nonlinearities in engineering systems can be characterized, at least locally, as Lipschitz form. Fruitful results have been reported for a variety of research issues on Lipscthiz nonlinear systems such as stabilization and control [1][2][3], estimation and filtering [4,5], and fault diagnosis [6,7]. Meanwhile, time delays always exist in practical processes due to the distributed nature of the system, material transport, and communication lag, which may cause the system performance degradation, and even instability [8][9][10][11]. Therefore, research on nonlinear systems Manuscript received July 26, 2014; revised March 7, 2015; accepted March 27, 2015. Copyright © 2015 IEEE. Personal use of this material is permitted. However, permission to use this material for any other purposes must be obtained from the IEEE by sending a request to pubs-permission@ieee,org.The work is partially supported by the Alexander von Humboldt Foundation (GRO/1117303 STP) and the sabbatical leave scheme at the E&E faculty in the University of Northumbria.Z. Gao is with the Faculty of Engineering and Environment (E&E), University of Northumbria at Newcastle, Newcastle upon Tyne, NE1 8ST, UK (+441912437832; e-mail: zhiwei.gao@northumbria.ac.uk).subjected to delays has received much more attention. In [12], state and output feedback stabilization was discussed for Lipschitz nonlinear systems with delays. In [13], a distributed ∞ filter was proposed for a class of Markovian jump nonlinear time-delay systems over lossy sensor networks. By using linear matrix inequality technique, a robust observer was presented in [14] for nonlinear discrete-time systems with time-delays. In [15], an adaptive observer was addressed for Lipschitz nonlinear systems with time-varying de...

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Adaptive observer for a class of nonlinear systems with time‐varying delays

Cited by 23 publications

References 23 publications

Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method

Adaptive Finite‐Time Robust Control of Nonlinear Delay Hamiltonian Systems Via Lyapunov‐Krasovskii Method

Luenberger-Like Observers for Nonlinear Time-Delay Systems with Application to the Artificial Pancreas: The Attainment of Good Performance

Estimation and Compensation for Lipschitz Nonlinear Discrete-Time Systems Subjected to Unknown Measurement Delays

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