Event-Triggered Composite Control of a Two Time Scale System
01 Apr 2018-IEEE Transactions on Circuits and Systems Ii-express Briefs (IEEE)-Vol. 65, Iss: 4, pp 471-475
TL;DR: The theory of singular perturbation is used to decouple the system into slow and fast subsystems, and stability of the system is established and the proposed control strategy guarantees convergence of system states to an adjustable region around origin excluding the Zeno behavior.
Abstract: This brief proposes an event-triggered composite control of a two time scale system. A periodic sampling requirement is relaxed and both slow and fast states of the system decide independently when transmitting their current measurements based on a time-dependent triggering rule. The distinct feature of this scheme is that it does not require synchronized measurement updates of its slow and fast dynamics. Further, the theory of singular perturbation is used to decouple the system into slow and fast subsystems, and stability of the system is established. The proposed control strategy guarantees convergence of system states to an adjustable region around origin excluding the Zeno behavior. Simulation results manifest the effectiveness of the proposed approach.
Citations
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TL;DR: A robust stabilizability condition of the proposed multi-rate control law with respect to uncertain singular perturbation parameter is obtained and a sufficient condition for exponential stability of the closed-loop system is derived in terms of linear matrix inequalities.
Abstract: This paper addresses the multi-rate stabilization problem for linear singularly perturbed systems. The proposed multi-rate sampled-data control law is based on the discretization in multi-rate fashion on the continuous-time composite control law obtained from the singular perturbation theory. The sampling times of the slow and fast state variables are allowed to be asynchronous and nonuniformly spaced. A new time-dependent Lyapunov functional is introduced to analyze the closed-loop stability of the considered system with the multi-rate feedback. With the use of the Lyapunov functional, a sufficient condition for exponential stability of the closed-loop system is derived in terms of linear matrix inequalities. Further, a robust stabilizability condition of the proposed multi-rate control law with respect to uncertain singular perturbation parameter is also obtained. Three numerical examples are presented to show the effectiveness of the developed methodology.
6 citations
01 Mar 2022
TL;DR: In this paper , an integral controller with nonlinear compensation terms is established to attenuate the potential data jitter and reduce the unnecessary transmissions, and the uniformly ultimate boundedness of the resultant closed-loop system is established by means of Simpson rule, Finsler lemma and the Lyapunov stability theory.
Abstract: This brief is concerned with the event-triggered control of linear systems with triggered dual channels. The system outputs and control inputs are respectively driven by two different triggering mechanisms. An integral controller with nonlinear compensation terms is established to attenuate the potential data jitter and reduce the unnecessary transmissions. The uniformly ultimate boundedness of the resultant closed-loop system is established by means of Simpson rule, Finsler lemma and the Lyapunov stability theory and the controller gain is solved in terms of linear matrix inequality. The validity of the proposed scheme is verified by a numerical example.
5 citations
TL;DR: In this article , the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller is investigated.
Abstract: This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this setting, the fixed-time stability property becomes practical, where the adjustable parameters are constants used to define the triggering rules. The existence of a strictly positive time between any two successive transmissions is ensured for each transmission law. A numerical example is provided to illustrate the effectiveness of the results.
5 citations
TL;DR: The problem of event-triggered filter design for singularly perturbed systems (SPSs) with external disturbance is investigated and an RC circuit system is presented to demonstrate the effectiveness and superiority of the obtained method.
Abstract: The problem of event-triggered H ∞ filter design for singularly perturbed systems (SPSs) with external disturbance is investigated in this paper. A scheme consisting of an event-triggered mechanism...
5 citations
TL;DR: In this paper , the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller is investigated.
Abstract: This article investigates the fixed-time stabilization of uncertain linear time-invariant systems exhibiting two time scales using a state-feedback event-triggered controller. We proceed by emulation and assume that we know a controller that solves the problem in the absence of sampling. We then take sampling into account and present an event-triggered strategy, which consists of two independent sampling mechanisms, associated with the slow and the fast subsystems, respectively. In this setting, the fixed-time stability property becomes practical, where the adjustable parameters are constants used to define the triggering rules. The existence of a strictly positive time between any two successive transmissions is ensured for each transmission law. A numerical example is provided to illustrate the effectiveness of the results.
4 citations
References
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TL;DR: This note investigates a simple event-triggered scheduler based on the paradigm that a real-time scheduler could be regarded as a feedback controller that decides which task is executed at any given instant and shows how it leads to guaranteed performance thus relaxing the more traditional periodic execution requirements.
Abstract: In this note, we revisit the problem of scheduling stabilizing control tasks on embedded processors. We start from the paradigm that a real-time scheduler could be regarded as a feedback controller that decides which task is executed at any given instant. This controller has for objective guaranteeing that (control unrelated) software tasks meet their deadlines and that stabilizing control tasks asymptotically stabilize the plant. We investigate a simple event-triggered scheduler based on this feedback paradigm and show how it leads to guaranteed performance thus relaxing the more traditional periodic execution requirements.
3,695 citations
"Event-Triggered Composite Control o..." refers background or methods in this paper
...Simulation were also performed to compare the proposed approach to ETC using uniform sampling of slow and fast states as in [3] with ETM in (15)....
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...In place of using full state information to determine the triggering instances (such as in [3]–[5] and [12] etc....
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...See [3]–[9] for some of the prevailing literature on ETC....
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TL;DR: A novel control strategy for multi-agent coordination with event-based broadcasting is presented, in which each agent decides itself when to transmit its current state to its neighbors and the local control laws are based on these sampled state measurements.
1,077 citations
"Event-Triggered Composite Control o..." refers methods in this paper
...We use triggering rule proposed in [14] and [15] which has exponential convergence property and an offset....
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TL;DR: An upper bound of the difference between both loops is derived, which shows that the approximation of the continuous state-feedback loop by the event-based control loop can be made arbitrarily tight by appropriately choosing the threshold parameter of the event generator.
994 citations
"Event-Triggered Composite Control o..." refers background in this paper
...In place of using full state information to determine the triggering instances (such as in [3]–[5] and [12] etc....
[...]
...Remark 1: If (c1 = 0) ETM has constant threshold, which has been extensively studied in [4] and [5]....
[...]
TL;DR: The main methodologies suggested in the literature to cope with typical network-induced constraints, namely time delays, packet losses and disorder, time-varying transmission intervals, competition of multiple nodes accessing networks, and data quantization are surveyed.
Abstract: Networked control systems (NCSs) have, in recent years, brought many innovative impacts to control systems. However, great challenges are also met due to the network-induced imperfections. Such network-induced imperfections are handled as various constraints, which should appropriately be considered in the analysis and design of NCSs. In this paper, the main methodologies suggested in the literature to cope with typical network-induced constraints, namely time delays, packet losses and disorder, time-varying transmission intervals, competition of multiple nodes accessing networks, and data quantization are surveyed; the constraints suggested in the literature on the first two types of constraints are updated in different categorizing ways; and those on the latter three types of constraints are extended.
989 citations
TL;DR: This paper considers an event-driven control scheme for perturbed linear systems that triggers the control update only when the tracking or stabilization error is large, so that the average processor and/or communication load can be reduced significantly.
Abstract: Most research in control engineering considers periodic or time-triggered control systems with equidistant sample intervals. However, practical cases abound in which it is of interest to consider event-driven control in which the sampling is event-triggered. Although there are various benefits of using event-driven control like reducing resource utilization (e.g., processor and communication load), their application in practice is hampered by the lack of a system theory for event-driven control systems. To provide a first step in developing an event-driven system theory, this paper considers an event-driven control scheme for perturbed linear systems. The event-driven control scheme triggers the control update only when the (tracking or stabilization) error is large. In this manner, the average processor and/or communication load can be reduced significantly. The analysis in this paper is aimed at the control performance in terms of practical stability (ultimate boundedness). Several examples illustrate t...
738 citations
"Event-Triggered Composite Control o..." refers background in this paper
...Remark 1: If (c1 = 0) ETM has constant threshold, which has been extensively studied in [4] and [5]....
[...]