Proceedings ArticleDOI
Periodic Event triggered Control of Singularly Perturbed systems
TLDR
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.read more
Citations
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Comparison of Riemann and Lebesque sampling for first order stochastic systems
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.
Proceedings ArticleDOI
Multirate and composite control of two-time-scale discrete-time systems
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.
References
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A Simple Event-Based PID Controller
TL;DR: A simple event-based PID controller is presented and it is shown that it is possible to obtain large reductions in CPU utilization with only minor control performance degradation.
Journal ArticleDOI
A simple event-based PID controller
TL;DR: In this article, a simple event-based PID controller is presented, and it is shown that it is possible to obtain large reductions in CPU utilization with only minor control performance degradation.
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Singular perturbations and time-scale methods in control theory: Survey 1976-1983
TL;DR: The survey is aimed at engineers and applied mathematicians interested in model-order reduction, separation of time scales and allied simplified methods of control system analysis and design.
Proceedings ArticleDOI
Output-based event-triggered control with Guaranteed ℒ ∞ -gain and improved event-triggering
TL;DR: This paper will propose an event-triggering mechanism that invokes execution of the control task when the difference between the measured output or the control input of the plant or controller becomes ‘large’ compared to its current value and an additional threshold.
Proceedings ArticleDOI
Event design in event-triggered feedback control systems
Xiaofeng Wang,Michael D. Lemmon +1 more
TL;DR: The resulting event-triggered feedback systems are guaranteed to be asymptotically stable, provided that the continuous systems are stabilizable and bounded strictly away from zero if the input-to-state stable with respect to measurement errors.