Delay and state observation for SISO nonlinear systems with input delay

Léchappé, Vincent; León, J. De; Moulay, Emmanuel; Plestan, Franck; Glumineau, Alain

doi:10.1002/rnc.4020

Cited by 21 publications

(24 citation statements)

References 31 publications

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“…the state vector

x false(t false)

is bounded. Remark 1 Relevant works in the literature on observer design for systems with unknown time‐varying delays [20, 22, 23, 25, 27] assume the delays to be differentiable. Since the delays are unknown, it is difficult to verify this assumption.…”

Section: System Descriptionmentioning

confidence: 99%

“…Thus, our assumption on the unknown time‐varying delay is more practical than relevant works in the literature. It is also worth pointing out that, in [22, 23, 25–27], the output measurements are not subject to unknown delays. Meanwhile, the presence of unknown delays in the output measurements is considered in this paper thanks to the newly proposed

{scriptH}_{\infty}

based observer design approach.…”

Section: System Descriptionmentioning

confidence: 99%

“…In [26], by combining a high‐gain observer and a delay identifier, the authors showed that estimation of state variables and identification of delay can be achieved simultaneously for a class of non‐linear systems with unknown constant state delays. In [27], the simultaneous state and delay observation problem for a class of SISO non‐linear systems with delayed input was considered. An observer is constructed for an augmented system whose the augmented state is constituted by the state and the delay to reconstruct both the state and the delay of the delayed non‐linear system [27].…”

Section: Introductionmentioning

confidence: 99%

“…An observer is constructed for an augmented system whose the augmented state is constituted by the state and the delay to reconstruct both the state and the delay of the delayed non‐linear system [27]. It can be seen that the existing results possess some limitations such as: the matching conditions are required to hold [21, 25], the unknown delays are assumed to be differentiable [22, 27], or the delay issue is not considered in the output measurements [23, 26]. Circumvent such limitations and provide a practical solution to the challenging problem of designing observers for non‐linear systems with unknown delays are the main motivations of this paper.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Robust state estimation for non‐linear systems with unknown delays

Nguyen

Pathirana

Trinh

2019

IET Control Theory & Applications

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“…the state vector

x false(t false)

Section: System Descriptionmentioning

confidence: 99%

{scriptH}_{\infty}

based observer design approach.…”

Section: System Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust state estimation for non‐linear systems with unknown delays

Nguyen

Pathirana

Trinh

2019

IET Control Theory & Applications

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“…By using a disturbance observer, tracking control for nonstrict feedback systems with mismatched unknown nonlinear functions is investigated 15 . In Reference , delay and state observer are designed for SISO nonlinear systems with input delays. The problems of fuzzy adaptive control for MIMO and nonstrict feedback nonlinear systems 7,10 and adaptive neural control for MIMO nonlinear systems 18 are presented.…”

Section: Introductionmentioning

confidence: 99%

Observer‐based adaptive neural control for a class of nonlinear singular systems

Chen

Lin

Zhang

2020

Intl J Robust & Nonlinear

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The problem of observer-based adaptive neural control via output feedback for a class of uncertain nonlinear singular systems is studied in this article. The nonlinear singular systems can be regarded as two subsystems that are coupled with each other: differential subsystem and algebraic subsystem. The differential systems can be nonstrict feedback structures. To guarantee that the singular system is regular and impulse-free, two new conditions are proposed. By the conditions, the linear controller and observer, which are used to estimate the immeasurable state variables, are obtained. Then, an output feedback scheme through adaptive neural backstepping is proposed to ensure that all states of the closed-loop system are semiglobally uniformly ultimately bounded and converge to a small neighborhood of the origin. Simulation examples illustrate the effectiveness of the presented method. K E Y W O R D S adaptive neural control, output feedback, singular system, uncertain nonlinear system 1 Int J Robust Nonlinear Control. 2020;30:4043-4058. wileyonlinelibrary.com/journal/rnc © 2020 John Wiley & Sons, Ltd. 4043 4044 CHEN et al.nonstrict feedback systems. 11 In addition, the Newton-based observer, 19 sliding-mode, 20 and Lyapunov-based observer 21 are designed for nonlinear systems. Singular systems have been extensively studied because it can better describe the physical systems, such as power systems, economics, biological systems, and other areas. 22,23 The study of singular systems is much more complicated than that of the state-space systems because not only the stability but also the regularity and impulse-free should be considered. Recently, the study of singular systems is mainly based on the linear system theory. The observer design is addressed in References 24-27. The problems of stability analysis for singular Markovian jump systems, 28 and the admissibility for singular T-S fuzzy model 29 are studied. In References 30 and 31 , the analysis and control synthesis for singular systems with time delays are discussed. All the above results are based on linear matrix inequality (LMI) techniques. The above methods are regarded as effective methods for linear singular systems. However, for nonlinear, or uncertain singular systems, the T-S fuzzy model-based methods 22,32-34 will bring much conservatism. It is known that the control problems for normal uncertain nonlinear systems can be solved to some extent by the advanced adaptive control theory. And the adaptive control theory has been extended to solve the admissibility problems for nonlinear singular systems in References 35-37. Nevertheless, for the more complex uncertain nonlinear singular systems, and more complex control problems, such as nonlinear tracking control, a better way should be developed.In this article, an observer-based neural control scheme via output feedback is proposed for a class of uncertain nonlinear singular systems for the first time. In the proposed scheme, a reduced-order observer is constructed to estimate the unmeasured state vari...

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Adaptive event‐triggered control of pure‐feedback systems with quantized input and unknown input delay

Xia

Zhang

Kang

et al. 2021

Intl J Robust & Nonlinear

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This article presents an adaptive event-triggered dynamic surface control for pure-feedback systems with unknown input time-delay and quantized input.Event-triggered and quantized input are both of discontinuity, which will make their integral item nondifferentiable and the integral mean value theorem cannot be applied. In order to solve the design problem of input delay system with discontinuous input, an auxiliary tracking error, an auxiliary system and Lyapunov-Krasovskii functionals are well designed, which can effectively deal with the input delay and allows the time delay to be unknown. Moreover, the improved event-triggered quantized control can greatly reduce the amount of calculation of traditional quantized control and avoid unnecessary network access. The stability analysis shows that all signals in the closed-loop system are semi-globally uniformly ultimately bounded, and the output constraint is not violated. A simulation example of practical control system is conducted to demonstrate the effectiveness of proposed control protocol.

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Delay and state observation for SISO nonlinear systems with input delay

Cited by 21 publications

References 31 publications

Robust state estimation for non‐linear systems with unknown delays

Robust state estimation for non‐linear systems with unknown delays

Observer‐based adaptive neural control for a class of nonlinear singular systems

Adaptive event‐triggered control of pure‐feedback systems with quantized input and unknown input delay

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