Periodic Event triggered Control of Singularly Perturbed systems
01 Dec 2019-
TL;DR: In this paper, the authors proposed a periodic event-triggered control of singularly perturbed systems, where state variables are sampled at their natural frequency avoiding oversampling of slow variables.
Abstract: This paper proposes periodic event-triggered control of singularly perturbed systems. The proposed triggering strategy allows periodic evaluation of triggering rule. Continuous state measurements are no longer required, instead, the states are measured periodically and are transmitted to controller only if certain condition based on the system performance is satisfied. Another advantage of this triggering mechanism is that there exists a uniform positive lower bound on the inter-event time which is equal to one sampling period at least. In this work, we use independent event-triggering mechanism for the slow and fast variables of the system. This allows state variables to be sampled at their natural frequency avoiding oversampling of slow variables. The proposed strategy ensures bounded stability of the closed-loop system. Simulation results are included to show the efficacy of the proposed method.
Citations
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01 Jan 2002
TL;DR: In this article, it is shown that Lebesgue sampling gives better performance for some simple systems than traditional Riemann sampling, which is an analog of integration theory and is called event-based sampling.
Abstract: The normal approach to digital control is to sample periodically in time. Using an analog of integration theory we can call this Riemann sampling. Lebesgue sampling or event based sampling is an alternative to Riemann sampling. It means that signals are sampled only when measurements pass certain limits. In this paper it is shown that Lebesgue sampling gives better performance for some simple systems.
77 citations
01 Jan 1984
TL;DR: In this paper, the design of stabilizing feedback control of singularly perturbed diserete-time systems is decomposed into slow and fast controllers which are combined to form the composite control.
Abstract: The design of stabilizing feedback control of singularly perturbed diserete-time systems is decomposed into the design of slow and fast controllers which are combined to form the composite control. Composite control strategies are developed for the case of single rate measurements (all variables are measured at the same rate) as well as for the case of multirate measurements (slow variables are measured at a rate slower than that of fast variables).
23 citations
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01 Oct 2017
TL;DR: In this paper, event-triggered strategies for control of discrete-time plants with two-time scale property are developed and analyzed and extended to a self- Triggered formulation, where the next control updates are decided at the previous ones, thus relaxing the need for continuous monitoring of the measurement error.
Abstract: In this paper, event-triggered strategies for control of discrete-time plants with two-time scale property are developed and analyzed. The plant is assumed input-to-state stable with respect to measurement errors and the control law is updated once a triggering condition involving the norm of a measurement error is violated. The results are also extended to a self-triggered formulation, where the next control updates are decided at the previous ones, thus relaxing the need for continuous monitoring of the measurement error. The results are illustrated through simulated examples.
4 citations
"Periodic Event triggered Control of..." refers background in this paper
...ETC of a discrete two-time scale system is proposed in [21], and asymptotic stability is guranteed....
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...In [21], results are also extended for self triggered control....
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