On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

Jafarov, Elbrous M.

doi:10.1007/s11633-013-0728-7

Cited by 7 publications

(11 citation statements)

References 20 publications

(15 reference statements)

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“…This approach has been used in literature and has achieved superior control performance [13], [14], [20], [23]. For the system in the presence of input-delay and uncertain dynamics, one can refer to [24], [25] for further details.…”

Section: Plant Model and Problem Formulationmentioning

confidence: 99%

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

Ye¹,

Wang²

2020

IEEE Access

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A robust adaptive chattering-free sliding mode (ACFSM) control method for electronic throttle (ET) system is proposed in this paper. It is well known that nonlinearities in the throttle system including friction, return-spring, limp-home (LH) and gear backlash affect the control accuracy of the throttle valve. Compared with the traditional sliding mode control methods, the ACFSM control not only overcomes the influence of nonlinearities and parameter uncertainties in the ET system, but also eliminates chattering in nature such that excellent throttle tracking performance and robustness are maintained. The proposed ACFSM control method is superior to the traditional sliding mode control in the following two aspects: 1) The chattering-free sliding mode control method is able to attenuate the control chattering without weakening the output tracking performance and robustness. 2) The upper bounds of the uncertainty and disturbance are not required any more in control design. They are online estimated by the adaptive law in the sense of Lyapunov. Moreover, due to the difficulty in selecting proper control parameters, the genetic algorithm (GA) is introduced to optimate the control parameters for the ACFSM controller prior to practical implementation. The comparative experimental results are given to demonstrate the excellent control performance of the proposed ACFSM control. INDEX TERMS Adaptive chattering-free sliding mode (ACFSM), electronic throttle (ET) system, the genetic algorithm (GA), robustness property.

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Section: Plant Model and Problem Formulationmentioning

confidence: 99%

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

Ye¹,

Wang²

2020

IEEE Access

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“…Time‐delay systems have attracted great attention in the past few decades in both mathematics and practice [1–6], since they can characterise some actual physical systems more accurately, such as mechanical transmission systems, chemical process control, networked systems, combustion systems and aerospace engineering systems [7–11]. The existence of time‐delay can cause performance degradation and even instability of control systems [12, 13], and it is challenging to analyse and control time‐delay systems for their infinite dimensional properties [14].…”

Section: Introductionmentioning

confidence: 99%

Delayed output feedback of discrete‐time time‐delay systems with applications to spacecraft rendezvous

Zhou

Duan

2018

IET Control Theory & Applications

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“…However, it is well known that the Smith predictor cannot be used to control unstable open‐loop processes because the structure of this predictor is not internally stable . The design of a SMC predictor‐based controller has been considered for a class of linear uncertain systems by ; however, the matching condition required to hold by the uncertainties in the original system does not hold for the transformed free‐delay (predicted) system with the conventional SMC algorithm . Moreover, the problem of designing a predictor‐based controller for a system with delays in both the state and input vectors, to the best of the authors' knowledge, is still open.…”

Section: Introductionmentioning

confidence: 99%

Robust control for uncertain linear delay systems via sliding mode control

Loukianov

Caballero-Barragán

Osuna-Ibarra

et al. 2017

Intl J Robust & Nonlinear

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Summary In this paper, a novel discontinuous control strategy for robust stabilization of a class of uncertain multivariable linear time‐delay systems with delays in both the state and control variables is proposed. Two predictors are first designed to compensate the delay effect in the control input, and then an integral sliding mode control technique is applied to compensate partially the effect of the perturbation term. Finally, a nominal delay‐free component of the full control input is designed to stabilize the sliding mode dynamics. Conditions for the stability of the closed‐loop perturbed system are then derived. The proposed framework is then extended to the class of systems modeled in regular form. Some examples illustrate the feasibility of the proposed scheme. Copyright © 2017 John Wiley & Sons, Ltd.

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On Stability Delay Bounds of Simple Input-delayed Linear and Non-linear Systems: Computational Results

Cited by 7 publications

References 20 publications

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

A Robust Adaptive Chattering-Free Sliding Mode Control Strategy for Automotive Electronic Throttle System via Genetic Algorithm

Delayed output feedback of discrete‐time time‐delay systems with applications to spacecraft rendezvous

Robust control for uncertain linear delay systems via sliding mode control

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