Separation principle for networked control systems with multiple-packet transmission

Wu, Dongxiao; Wu, Jun; Chen, Sheng

doi:10.1049/iet-cta.2009.0436

Cited by 18 publications

(13 citation statements)

References 30 publications

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“…The authors of [23,24] proved that the separation principle holds for networked control systems with a triangular structure such as the one that has the dynamic matrix A CL kC1 . This implies that the observer and controller can be designed independently to achieve a mean square stable behaviour, and thus guaranteeing the mean square stability of the closed loop system.…”

Section: Closed Loop Analysismentioning

confidence: 99%

Observer‐based controllers with data dropout rate adaptation

Dolz

Peñarrocha

Sanchis

2017

Intl J Robust & Nonlinear

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Summary In this work, we address the observer‐based control problem for networked control systems with an unknown time‐varying packet arrival rate (PAR) and under root mean square‐norm bounded disturbances. We assume packetized transmissions of both measurement and control input through a communication network with successful delivery acknowledgement. Using the measurement reception state and the control transmission acknowledgement, we derive a filter to estimate the PAR. We consider that the PAR changes sporadically from a constant value to another one; that is, it has two different behaviours: transient and steady state. While the observer only updates the state estimation using the current received measurements, the controller computes the control action employing the current state estimation and the previous applied control input. We propose to schedule both the observer and controller with rational functions of the PAR estimation. We show that the separation principle applies, and then, seeking higher performance accuracy, we develop an optimization H∞ observer and controller design procedure that considers the two possible behaviours of the PAR. This optimization procedure attempts to maximize the estimation and control performances for each of the possible constant values of the PAR while offering robustness against PAR estimation errors and variations of the PAR. By exploiting sum‐of‐squares decomposition techniques, the design procedure involves an optimization problem over polynomials. A numerical example illustrates the effectiveness of the proposed approach. Copyright © 2017 John Wiley & Sons, Ltd.

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Section: Closed Loop Analysismentioning

confidence: 99%

Observer‐based controllers with data dropout rate adaptation

Dolz

Peñarrocha

Sanchis

2017

Intl J Robust & Nonlinear

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“…In Peñarrocha et al (2005), Wu et al (2011), Gawthrop and Wang (2011) the separation principle for observer-based NCS systems that present a triangular structure was demonstrated, leading to an independent design of the observer and the controller gains. Furthermore, the work Wu et al (2010) demonstrated that the mean square stability of NCS systems with a time varying model that is only updated when successful transmissions occurs is equivalent to the mean square stability at the (fast) control period.…”

Section: Closed Loop Dynamics Analysismentioning

confidence: 99%

Inferential networked control with accessibility constraints in both the sensor and actuator channels

Peñarrocha

Dolz

Sanchis

2013

International Journal of Systems Science

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The predictor and controller design for an inferential control scheme over a network is addressed. A linear plant with disturbances and measurement noise is assumed to be controlled by a controller that communicates with the sensors and the actuators through a constrained network. An algorithm is proposed such that the scarce available outputs are used to make a prediction of the system evolution with an observer that takes into account the amount of lost data between successful measurements transmissions. The state prediction is then used to calculate the control actions sent to the actuator. The possibility of control action drop due to network constraints is taken into account. This networked control scheme is analyzed and both the predictor and controller designs are addressed taking into account the disturbances, the measurement noise, the scarce availability of output samples and the scarce capability of control actions update. The time-varying sampling periods that result for the process inputs and outputs due to network constraints have been determined as a function of the probability of successful transmission on a specified time with a Bernoulli distribution. For both designs H∞ performance has been established and LMI design techniques have been used to achieve a numerical solution.

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“…Firstly, since time delay and packet dropout usually exist simultaneously in the real network, it is important to establish a model to handle them in a common framework. Various modeling methods have been proposed including time delay system model [11], switched system model [12][13][14], asynchronous dynamical system model [15,16], and stochastic system model [6,8,9,[17][18][19][20][21][22][23][24][25]. Among them, stochastic system model becomes popular in recent years and one of the most 2 Complexity used ways is to adopt a Markov discrete-time linear system to describe random time delay or packet dropouts [9, 20-22, 24, 25].…”

Section: Introductionmentioning

confidence: 99%

Chattering‐Free Sliding Mode Control for Networked Control System with Time Delay and Packet Dropout Based on a New Compensation Strategy

et al. 2019

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This paper addresses the sliding mode control problem for a class of networked control systems with long time delay and consecutive packet dropout. A new modeling method is proposed, through which time delay and packet dropout are modeled in a unified model described by one Markov chain. To avoid the chattering problem of classic reaching law, a new chattering-free reaching law is proposed. Then with a focus on the problem that controller-actuator channel network condition cannot be foreseen by the controller, a new compensation strategy is proposed, which can effectively compensate for the effect of time delay and packet dropout in controller-actuator channel. Finally, a simulation example is presented to demonstrate the effectiveness of the proposed approach.

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Separation principle for networked control systems with multiple-packet transmission

Cited by 18 publications

References 30 publications

Observer‐based controllers with data dropout rate adaptation

Observer‐based controllers with data dropout rate adaptation

Inferential networked control with accessibility constraints in both the sensor and actuator channels

Chattering‐Free Sliding Mode Control for Networked Control System with Time Delay and Packet Dropout Based on a New Compensation Strategy

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