Stability of networked control systems in the presence of packet losses

Azimi-Sadjadi, Babak

doi:10.1109/cdc.2003.1272642

Cited by 172 publications

(97 citation statements)

References 11 publications

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“…Thus the condition above is both necessary and sufficient. 3 This argument can be extended to any finite number of links in series. If there are links in series with the probability of drop of the th link being , then a necessary and sufficient condition for the estimate error to converge at the destination node is where…”

Section: Network With Links In Seriesmentioning

confidence: 99%

“…Proposition 3: The algorithm is optimal in the sense that it allows the controller to calculate the control input that minimizes the quadratic cost in (3).…”

Section: Recursive Optimal Encoding Algorithmmentioning

confidence: 99%

“…For the present, we ignore any communication channel between the controller and the actuator. The controller aims at minimizing the cost function (3) where the expectation is taken over the uncorrelated variables , and and the horizon is finite. Note that the cost functional also depends on the random packet-drop sequences in each link.…”

Section: Problem Setupmentioning

confidence: 99%

“…Approaches to compensate for the data loss to counteract the degradation in performance have also been proposed [9], [15], [16], [21]. Also relevant are the works of Azimi-Sadjadi [3], Schenato et al [18] and Imer et al [12] who looked at controller structures to minimize quadratic costs for systems in which both sensor-controller and controller-actuator channels are present. The related problem of estimation across a packet-dropping link was considered by Sinopoli et al in [20] for the case of one sensor and packet drops occurring in an i.i.d.…”

mentioning

confidence: 99%

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Data Transmission Over Networks for Estimation and Control

Gupta

Amir

Hespanha

et al. 2009

IEEE Trans. Automat. Contr.

178

186

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Abstract-We consider the problem of controlling a linear time invariant process when the controller is located at a location remote from where the sensor measurements are being generated. The communication from the sensor to the controller is supported by a communication network with arbitrary topology composed of analog erasure channels. Using a separation principle, we prove that the optimal linear-quadratic-Gaussian (LQG) controller consists of an LQ optimal regulator along with an estimator that estimates the state of the process across the communication network. We then determine the optimal information processing strategy that should be followed by each node in the network so that the estimator is able to compute the best possible estimate in the minimum mean squared error sense. The algorithm is optimal for any packet-dropping process and at every time step, even though it is recursive and hence requires a constant amount of memory, processing and transmission at every node in the network per time step. For the case when the packet drop processes are memoryless and independent across links, we analyze the stability properties and the performance of the closed loop system. The algorithm is an attempt to escape the viewpoint of treating a network of communication links as a single end-to-end link with the probability of successful transmission determined by some measure of the reliability of the network.

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Section: Network With Links In Seriesmentioning

confidence: 99%

“…Proposition 3: The algorithm is optimal in the sense that it allows the controller to calculate the control input that minimizes the quadratic cost in (3).…”

Section: Recursive Optimal Encoding Algorithmmentioning

confidence: 99%

Section: Problem Setupmentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Data Transmission Over Networks for Estimation and Control

Gupta

Amir

Hespanha

et al. 2009

IEEE Trans. Automat. Contr.

178

186

View full text Add to dashboard Cite

show abstract

“…A sub-optimal estimator and regulator to minimize a quadratic cost were proposed by Azimi Sadjadi [8] and this approach was extended by Imer et al in [9] and Sinopoli et al in [10][11]. However, most of the work aimed at designing a packet loss compensator.…”

Section: Previous Workmentioning

confidence: 99%

Design of high-performance networked real-time control systems

Wen

Cao

2007

IET Control Theory &Amp; Applications

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Abstract:The performance of a networked control system (NCS) is affected directly and indirectly by time delays generated in network communication. This paper addresses these time delays, their effects on system performance, and the measures taken in an NCS design. For a time delay which is random but less than one sampling interval T, we model the system as a time-invariant control system with constant time delay T. For a time delay which is random and greater than one sampling interval T, we consider the system as a control system with packet drop and model it as a jump linear control system. Based on the above models, we propose a systematic method to improve the control system quality of performance by choosing a proper sampling interval to reduce data transmission, optimally scheduling to minimize packet loss and optimizing controller design in case of packet loss. The simulation results in lab experiments demonstrate that the design method results in high performance in networked real-time control system.

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Network‐based robust control of stochastic systems with nonlinear perturbations

Zhang

Zheng

2009

Asian Journal of Control

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Network-based robust control of stochastic systems with nonlinear perturbations is investigated in this paper. State and static output feedback controllers are designed, respectively, for stochastic networked control systems subject to the presence of network-induced delay, transmitted data dropout and nonlinear perturbations. Using the Lyapunov-Krasovskii functional and descriptor system approach, a state feedback controller and a static output feedback controller are constructed in terms of linear matrix inequalities, respectively. With the controllers, the corresponding closed-loop systems are stochastically ultimately bounded in the mean square. Two examples are provided to demonstrate the effectiveness of the proposed methods.

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Stability of networked control systems in the presence of packet losses

Cited by 172 publications

References 11 publications

Data Transmission Over Networks for Estimation and Control

Data Transmission Over Networks for Estimation and Control

Design of high-performance networked real-time control systems

Network‐based robust control of stochastic systems with nonlinear perturbations

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