Scheduling packets for Event-triggered control

Rabi, Maben; Johansson, Karl H.

doi:10.23919/ecc.2009.7074988

Cited by 61 publications

(83 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When Γ is not positive definite, but only non-negative definite, optimal solutions of (14) generally violate assumption (18) for anyc as is shown in [16]. But asc can be arbitrarily large, there always exists an -optimal event-triggering law taking assumption (18) into account.…”

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

“….] which satisfies assumption (18). Then, it is straight forward to prove that the drift of quadratic functions of {e k , s k } inside a compact set O. is bounded.…”

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

“…Let the event-trigger be of the type of a waiting strategy satisfying constraint (18). If the packet dropout probability β and the round-trip time T 1 + T 2 satisfy…”

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

“…Despite of the fact that time-delay and packet-dropouts are unavoidable in digital communication networks, these effects have merely been addressed by some works for the design of event-triggered control systems [5,18,22,24]. On the other hand, the study of time-delay and packet-dropouts mainly focuses on periodic transmission schemes [8,19] or on finding upper bounds on the sampling period [10].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, the study of time-delay and packet-dropouts mainly focuses on periodic transmission schemes [8,19] or on finding upper bounds on the sampling period [10]. In [18] the design of optimal level-triggered impulse control under packet dropouts with multiple loops sharing a common network is considered. The work in [5] derives the optimal event-based controller in the presence of packet dropouts and under a constraint on the number of transmissions.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Suboptimal event‐triggered control for networked control systems

Molin

Hirche

2013

Z Angew Math Mech

View full text Add to dashboard Cite

Key words Networked control systems, control over packet-switched communications, event-triggered control, stochastic optimal control, long-run average cost optimization, stochastic stability, drift criteria.The advent of networked control systems urges the digital control design to incorporate communication constraints efficiently. In order to accommodate this requirement, this article studies the joint design of controller and event-trigger for linear stochastic systems in the presence of a resource-limited communication channel which exhibits packet dropouts and time-delay. The event-trigger situated at the sensor decides at every sampling instance, whether to send information over the communication channel to the controller. The design approach is formulated as a stochastic average-cost optimization problem, where the communication constraints are reflected as an additional cost penalty of the average transmission rate. Different conditions on the communication model are given where the joint optimal design can be split into a separate control and event-trigger design. Based on these results, two suboptimal design approaches are developed. By using drift criteria, stability guarantees of the closed-loop system for both approaches are derived in terms of bounded moment stability. Numerical simulations illustrate the efficacy of the event-triggered approach compared with optimal time-triggered controllers.

show abstract

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

“….] which satisfies assumption (18). Then, it is straight forward to prove that the drift of quadratic functions of {e k , s k } inside a compact set O. is bounded.…”

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

“…Let the event-trigger be of the type of a waiting strategy satisfying constraint (18). If the packet dropout probability β and the round-trip time T 1 + T 2 satisfy…”

Section: Wwwzamm-journalorg 4 Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Suboptimal event‐triggered control for networked control systems

Molin

Hirche

2013

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

Output‐based event‐triggered control of networked systems subject to bilateral packet dropouts

Abozinadah

et al. 2022

Math Methods in App Sciences

View full text Add to dashboard Cite

In this paper, an output-based event-triggered control problem of discrete-time networked control systems (NCSs) subject to bilateral packet dropouts is investigated. In view of stochastic sequences of packet dropouts in the measurement channels (from sensors to controller) and the control channels (from controller to actuators), the NCS is converted into a closed-loop stochastic parameter system. In the aid of a Lyapunov functional based on stochastic variables, the sufficient conditions on design of a dynamic output feedback control law and bilateral event-triggering conditions are derived to guarantee the exponentially mean-square stability for NCSs. Furthermore, an improved iterative algorithm is given to obtain the output-based control law and event-triggering parameters from a set of nonconvex inequalities. Finally, a numerical example and the corresponding simulation results are given to illustrate the validity and applicability of the developed techniques.

show abstract

Decentralized control of network‐based interconnected systems: A state‐dependent triggering method

Tian

Yue

2013

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This paper investigates decentralized control for a class of interconnected system. Different from the traditional systems, the considered system has the following features: (i) its subsystems are connected through a communication network subject to transmission delays and packet losses; (ii) the subsystems' multi-actuators are subjected to random faults; and (iii) the subsystems are subject to probabilistic nonlinear disturbances, the inner variation information of the nonlinearities, as well as their bounds information, is utilized to analyze the nonlinearities. Furthermore, in order to reduce the network bandwidth burden, a decentralized state-dependent triggering scheme is proposed. Considering aforementioned characteristics and using the state-dependent triggering scheme, new type of network-based interconnected system model is built. By using the Lyapunov functional approach, sufficient conditions for the mean square stability and stabilization of the network-based interconnected systems are obtained. Then reliable controllers, as well as the triggering matrices of the local subsystems, can be co-designed by using a cone complementary linearization algorithm. Two simulation examples are given to illustrate the effectiveness and application of the proposed method. 1127 decentralized reliable guaranteed cost control of interconnected system subject to actuator faults. In [13], a decentralized adaptive approximation design method is proposed for the fault tolerant control of a class of interconnected nonlinear system. However, when considering all these three issues at the same time, the related research is not enough thus still need further investigation.It is well known that limited communication capacity is one of the main sources of the system performance degradation in the networked control systems, which can deteriorate the first two issues described in the previous texts. As to the limited network bandwidth, the following two methods are usually used to reduce the network bandwidth load: (i) the first is to reduce the size of the data. For example, in [14,15], the authors investigate the quantized feedback stabilization of interconnected systems. Generally speaking, the quantized method can only reduce the size of the data while can not reduce the quantity of the data, then the throughput capacity of the network can not be eased effectively, especially when the number of subsystems is large. (ii) The second method is to reduce the quantity of the released data. State-dependent triggering scheme (SDTS) (also called eventtriggering scheme or self-triggering scheme) has been proved to be an efficient way to reduce the data transmission in the network [16][17][18][19][20], which can relieve the burden of network bandwidth occupation when compared with traditional periodic sampling method. In the periodic sampling scheme, the sampling interval is determined before the system is deployed and which is computed to ensure the system performance of the worst conditions. Consequently, the obtained sampling interva...

show abstract

Scheduling packets for Event-triggered control

Cited by 61 publications

References 10 publications

Suboptimal event‐triggered control for networked control systems

Suboptimal event‐triggered control for networked control systems

Output‐based event‐triggered control of networked systems subject to bilateral packet dropouts

Decentralized control of network‐based interconnected systems: A state‐dependent triggering method

Contact Info

Product

Resources

About