Survey on time-delay approach to networked control

This article investigates the problem of quantized fuzzy control for discrete-time switched nonlinear singularly perturbed systems, where the singularly perturbed parameter (SPP) is employed to represent the degree of separation between the fast and slow states. Taking a full account of features in such switched nonlinear systems, the persistent dwell-time switching rule, the technique of singular perturbation and the interval type-2 Takagi-Sugeno fuzzy model are introduced. Then, by means of constructing SPP-dependent multiple Lyapunov-like functions, some sufficient conditions with the ability to ensure the stability and an expected H ∞ performance of the closed-loop system are deduced. Afterward, through solving a convex optimization problem, the gains of the controller are obtained. Finally, the correctness of the proposed method and the effectiveness of the designed controller are demonstrated by an explained example. Index Terms-Interval type-2 Takagi-Sugeno (IT2 T-S) fuzzy model, persistent dwell-time (PDT) switching rule, quantized control, singularly perturbed nonlinear systems. I. INTRODUCTION S OME parasitic parameters, such as small time constants, capacitances, and inductances, may increase the order of dynamic equations and lead to the numerical ill-conditioning problem. In order to overcome these obstacles, the singular perturbation technique is usually employed. Examples of singularly perturbed systems (SPSs) are power systems, airplanes, and so on [1]-[3]. When discretizing continuous-time SPSs, the sampling period influences the discrete-time model, which

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“…Meanwhile, by performing congruent transformations to (32) with diag{R θ , I} and the Schur complement, it ensures the establishment of (31).…”

Section: Appendix B Proof Of Theoremmentioning

confidence: 99%

“…In fact, most of the practical systems work in different cases which are characterized by different operating parameters or topological structures [29]- [32]. Usually, when focusing on the interval between two contiguous changing instants, the changes among modes obey a law, called the switching rule [33]- [35].…”

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confidence: 99%

Quantized Interval Type-2 Fuzzy Control for Persistent Dwell-Time Switched Nonlinear Systems With Singular Perturbations

Wang

Liu

Xia

et al. 2022

IEEE Trans. Cybern.

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“…These time-delays may deteriorate the performance of power systems like instability or oscillation, or at least, cause the load frequency to deviate from the desired value [6], [7]. With regard to stability research of time-delay systems, there are two main methods [8]. One is frequency domain method which can obtain the sufficient and necessary conditions for the system stability but it can only deal with systems with constant timedelays.…”

Section: Introductionmentioning

confidence: 99%

Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems With EV Aggregators Based on Bessel-Legendre Inequality and Model Reconstruction Technique

2020

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This paper investigates the stability of time-delayed load frequency control (LFC) systems with electric vehicles (EV) aggregators based on Lyapunov theory and linear matrix inequality (LMI) technology. A novel Lyapunov-Krasovskii functional (LKF) is constructed. Then, based on Bessel-Legendre (B-L) inequality and model reconstruction technique, two stability criteria are derived, respectively. Some simulations are carried out to verify the effectiveness of the proposed methods. And the interaction of time-delays between areas and the effect of gains of EVs on delay margins are discussed. INDEX TERMS Electric vehicles, load frequency control, Bessel-Legendre inequality, model reconstruction technique.

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“…Although such methods help reduce time delays, the practical system variables, such as varying transmission delays, transmission variables, packet loss, and communication constraints, have been ignored, and thus, these methods may not be adaptive to real-time network changes during the system operation process [11]. To further overcome these problems, scheduling mechanisms with variable sampling periods, such as dynamic feedback scheduling, fuzzy logic control or neural network-based scheduling, active sampling period scheduling, and delay compensation-based scheduling, have also been proposed [11][12][13][14]. ose methods are flexible in handling the timevarying traffic, yet some other constraints, such as the unknown network loads prior to scheduling, the lacks of upper and lower bounds for sampling period, and the difficulties in determining the key control parameters, have been largely ignored [14,15].…”

Section: Introductionmentioning

confidence: 99%

A Time-Delay-Bounded Data Scheduling Algorithm for Delay Reduction in Distributed Networked Control Systems

Zhao

Wan

et al. 2020

Mathematical Problems in Engineering

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As a key feature of networked control systems (NCSs), the time delays induced by communication medium sharing and data exchange over the system components could largely degrade the NCS performances or may even cause system instability, and thus, it is of critical importance to reduce time delays within NCSs. This paper studies the time-delay reduction problem in distributed NCSs and presents a dual-way data scheduling mechanism for time-delay reductions in delay-bounded NCSs with time-varying delays. We assess the time delays and their influences on the NCSs first with various delay factors being considered and then describe a one-way scheduling mechanism for network-delay reductions in NCSs. Based upon such a method, a dual-way scheduling algorithm is finally proposed for distributed NCSs with different types of transmitted data packets. Experiments are conducted on a remote teaching platform to verify the effectiveness of the proposed dual-way scheduling mechanism. Results demonstrate that, with the stability time-delay bound considered within the scheduling process, the proposed mechanism is effective for NCS time-delay reductions while addressing the stability, control accuracy, and settling time issues efficiently. Such a proposed mechanism could also be implemented together with some other existing control algorithms for time-delay reductions in NCSs. Our work could provide both useful theoretical guidance and application references for stable tracking control of delay-bounded NCSs.

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Survey on time-delay approach to networked control

Cited by 131 publications

References 249 publications

Quantized Interval Type-2 Fuzzy Control for Persistent Dwell-Time Switched Nonlinear Systems With Singular Perturbations

Quantized Interval Type-2 Fuzzy Control for Persistent Dwell-Time Switched Nonlinear Systems With Singular Perturbations

Load Frequency Stability Analysis of Time-Delayed Multi-Area Power Systems With EV Aggregators Based on Bessel-Legendre Inequality and Model Reconstruction Technique

A Time-Delay-Bounded Data Scheduling Algorithm for Delay Reduction in Distributed Networked Control Systems

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