State feedback control and delay estimation for LTI system with unknown input-delay

Deng, Yang; Léchappé, Vincent; Moulay, Emmanuel; Plestan, Franck

doi:10.1080/00207179.2019.1707288

Cited by 13 publications

(3 citation statements)

References 34 publications

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“…In order to overcome this limitation, instead of setting a constant estimator delay τ ^ , we can design an estimation scheme for τ ^ to drive it dynamically to τ . For example, inspired by the delay estimation in Deng et al (2021), we formulate the dynamics of τ ^ as…”

Section: Simulation Resultsmentioning

confidence: 99%

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An adaptive control framework for a class of nonlinear time-delay systems

Nguyen

2022

Transactions of the Institute of Measurement and Control

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This paper aims to formulate an adaptive control framework capable of producing desirable tracking performance for uncertain nonlinear systems with an unknown delay in the control input and a nonlinear control coefficient matrix. Since the control framework inherits common components of the classical model-reference adaptive controller (MRAC), it is easy to implement with a low barrier to entry. In addition, the work shows that the deviation of the state of the proposed control scheme from an ideal dynamics system is bounded given that the delays are within a certain margin. Simulation results are presented to illustrate the theoretical contribution and demonstrate the efficacy of the proposed controller in comparison with an existing competing controller. The limitation of this control framework is also discussed with a suggestion for overcoming the limitation toward the end of the paper.

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Section: Simulation Resultsmentioning

confidence: 99%

“…Desirable tracking performance is recovered after a few seconds. It is noted that the controller in Deng et al (2021) is designed for linear-time invariant systems, while our proposed controller targets uncertain nonlinear systems.…”

Section: Simulation Resultsmentioning

confidence: 99%

An adaptive control framework for a class of nonlinear time-delay systems

Nguyen

2022

Transactions of the Institute of Measurement and Control

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“…Assuming a Persistently Exciting (PE) regressor, a sufficient condition is proposed to guarantee convergence of the estimation errors. Unlike [11], [12], [20], this method does not require knowledge of the delayed input u(t − h) which is not always available in practice. Numerical simulation results show the efficacy of the method.…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Fault and Input Time Delay Estimation for an Actuator System: Theory and Flight Data Validation

Chen

Edwards

Alwi

et al. 2022

IEEE Control Syst. Lett.

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This paper proposes a first order sliding mode observer for the purpose of simultaneously estimating the unknown input time delay and reconstructing the loss of effectiveness in a model of an actuator. The adaptive algorithm is driven by the 'equivalent output error injection' signal associated with the sliding motion. Sufficient conditions are given to ensure finite time convergence of the state estimation error system, ensuring both the time delay estimation error and the estimation error associated with the actuator fault converge to a small region around zero. The efficacy of the approach has been evaluated via both a numerical simulation and flight data validation.

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Robustness of linear time‐invariant systems with feedback control protocols under random disturbances

Wen,

Zhang,

Fang

2024

Asian Journal of Control

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In this paper, the robustness of global exponentially stable (ES) linear time‐invariant (LTI) systems with feedback control protocols is examined under the influence of random disturbances (RDs). For a given LTI system with global ES, a state feedback (SF) control protocol and a output feedback (OF) control protocol are proposed to keep the robustness of the discussed system, respectively. Meanwhile, how much the intensity of RDs that LTI system can withstand is obtained by the transcendental equation, in which the feedback gains are also designed and calculated by a proposed iterative algorithm. The theoretical analysis results demonstrate that the perturbed LTI systems may remain ES when the RDs are smaller than the upper bounds obtained in this paper. Finally, three cases are proposed to illustrate the effectiveness of the theoretical research.

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State feedback control and delay estimation for LTI system with unknown input-delay

Cited by 13 publications

References 34 publications

An adaptive control framework for a class of nonlinear time-delay systems

An adaptive control framework for a class of nonlinear time-delay systems

Simultaneous Fault and Input Time Delay Estimation for an Actuator System: Theory and Flight Data Validation

Robustness of linear time‐invariant systems with feedback control protocols under random disturbances

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