Output Feedback Guaranteed Cost Control for Networked Control Systems With Random Packet Dropouts and Time Delays in Forward and Feedback Communication Links

Li, Qiu; Yao, Fengqi; Xu, Gang; Li, Shanbin; Xu, Bugong

doi:10.1109/tase.2014.2353657

Cited by 49 publications

(25 citation statements)

References 43 publications

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“…To date, we have seen a large number of control algorithms solving a packet loss issue with the single-packet transmission. For example, the controller design problem was considered in [25] for systems with both bounded random packet loss and channel uncertainty; a non-cooperative linear quadratic game was used to design the optimal decentralised state-feedback controllers in [26] for a wireless sensor and actuator network with stochastic delays and packet losses; the output feedback guaranteed cost control issue was considered in [27] for NCSs with random packet dropouts and time delays; a novel state space model was proposed in [28] with the corresponding model predictive tracking control algorithm to deal with systems subject to packet loss and uncertainties. Also, a lot more other works, which are not listed here, have made great achievements in dealing with packet loss under single-packet transmission.…”

Section: Introductionmentioning

confidence: 99%

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Zhao

Tao

Kang

et al. 2019

IET Control Theory & Applications

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The stochastic stabilisation of networked control systems is investigated with a special focus on the lossy multi-packet transmission in the wireless communication context. The resulting partially available system states due to multi-packet transmission are firstly reconstructed at the controller, and the sufficient conditions for stochastic stability are then given for the closed-loop system, which finally leads to a controller design method with explicit consideration of multi-packet transmission. The proposed theoretical results are verified by both numerical and TrueTime-based examples.

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Section: Introductionmentioning

confidence: 99%

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Zhao

Tao

Kang

et al. 2019

IET Control Theory & Applications

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“…2) For an unstable FOPTD model characterized by , the value of must be in the interval such that there exists a stabilizing PID controller, and satisfies . For a fixed the boundaries of and are determined by the line and the curve as follows: (9) where varies from 0 to ( is the first root of in the interval ) The proof of the above results is relatively straightforward based on the previous results in [17] and omitted here. We will focus on how to use the results to compute the stabilizing parameter space for the process with uncertain delay.…”

Section: )mentioning

confidence: 99%

“…The widely used method to study the stability in the presence of uncertain delays is based on the modern control theory. In such cases, the stability and controller design are converted to a set of linear matrix inequalities (LMIs) [2]- [9]. The advantages of this method are that it can be used to design controllers for high-order plants and it is suitable for dealing with time-varying delays.…”

Section: Introductionmentioning

confidence: 99%

Control Design for Disturbance Rejection in the Presence of Uncertain Delays

Jin

Liu

Huang

2017

IEEE Trans. Automat. Sci. Eng.

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This paper is concerned with control of processes with uncertain delays for disturbance rejection. The effect of the uncertain delays on the stability is studied. First, the method to compute the maximum uncertain delay that a given controller can tolerate is described. Second, in the case of PI/PID controller, all of the admissible controller parameters stabilizing a system with uncertain but bounded delays are determined. Meanwhile, we propose a simple method to construct the parameter space satisfying a given robustness index for the nominal model. In the admissible regions satisfying various objectives, the global optimum controller is achieved for disturbance rejection in the presence of uncertain delay. As a result, the MIGO ( -constrained Integral Gain Optimization) method is revisited in the case of uncertain delay, and the rule of selecting the value of maximum sensitivity function is proposed in terms of the bound on the uncertain delay. Two simulation examples and an experiment are given to demonstrate the effectiveness and advantage of the proposed method.Note to Practitioners-The practitioners can use the methods presented in this paper to solve the following two problems: 1) to estimate the allowable delay that a control system can tolerate and 2) to design the globally optimal PID controller in terms of the delay range. This paper was motivated by how to find the globally optimal PID parameters in the presence of uncertain delays. Conventionally, the uncertain delay is dealt with linear matrix inequalities (LMIs). However, the results based on solving LMIs are not globally optimal. Here, we dealt with the uncertain delay in the frequency domain. We not only proposed a method to compute the maximum delay that the classical PID controller can tolerate but also find all the admissible PID controllers stabilizing a processes in the presence of uncertain delay. To obtain the globally optimal controller for a given process, the boundaries for the norm-based indices were constructed. Then, the globally optimal PID controller satisfying multiple objectives can be easily found in the admissible region. The examples clearly showed that the method based on LMI only provided one local optimal solution. However, the proposed method can find all of the admissible solutions and select the optimal one. We also discussed the application of the well-known MIGO method in the case of uncertain delays. Also, the rules of selecting the robustness index in terms of uncertain delay were proposed. The above methods were proposed based on first-order plus time delay models since Manuscript most chemical processes can be modeled by this type of model. Certainly the methods can be extended to high order processes with uncertain delays. But the methods may not easily be used for multiple-input-multiple-output processes since it is difficult to construct the stability regions of the parameters for such processes. Also, the method cannot be used to deal with the random delays.Index Terms-Parameter space, PID controller, sensitiv...

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“…Estes sistemas, muitas vezes utilizam redes de comunicação entre sensor-controlador ou/e entre controlador-atuador. Nesse contexto desponta a categoria de sistemas controlados via rede (NCS -Networked Control Systems) (Qiu et al, 2016).…”

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Crit´erio de estabilidade simplificado para sistemas lineares em cascata com atraso vari´avel: uma abordagem via preditor de Smith Filtrado

Franklin

Santos

Araújo

2020

Anais Do Congresso Brasileiro De Automática 2020

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Este artigo trata do controle em cascata de sistemas lineares com atraso vari´avel. Esta abordagem ´e baseada na compensa¸c˜ao de atraso por meio do preditor de Smith filtrado (PSF) para mitigar uma parcela constante deste atraso e a parcela vari´avel ´e tratada pelo crit´erio de estabilidade simplificado baseado no teorema do ganho pequeno. O filtro de robustez presente no PSF ´e usado para recuperar a estabilidade afetada pela presen¸ca de incertezas de modelo epelo atraso vari´avel. Assume-se que a malha interna ´e regulada por um controlador Proporcional Integral Derivativo (PID) local, ao passo que o controle da malha externa ´e realizado via rede de comunica¸c˜ao. Um estudo de caso ´e utilizado para ilustrar os benef´ıcios da estrat´egia proposta.

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Output Feedback Guaranteed Cost Control for Networked Control Systems With Random Packet Dropouts and Time Delays in Forward and Feedback Communication Links

Cited by 49 publications

References 43 publications

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Stochastic stabilisation of wireless networked control systems with lossy multi‐packet transmission

Control Design for Disturbance Rejection in the Presence of Uncertain Delays

Crit´erio de estabilidade simplificado para sistemas lineares em cascata com atraso vari´avel: uma abordagem via preditor de Smith Filtrado

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