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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.

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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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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.

H∞ control for fast sampling discrete-time singularly perturbed systems

TL;DR: In this paper, a new H∞ controller design method is given in terms of solutions to linear matrix inequalities (LMIs), which eliminates the regularity restrictions attached to the Riccati-based solution.
Proceedings ArticleDOI

Decentralized event-triggering for control of LTI systems

TL;DR: This paper considers Linear Time Invariant control systems with full state feedback, a central controller and distributed sensors not co-located with the central controller, and a methodology for designing decentralized asynchronous event-triggers, which utilize only locally available information, for determining the time instants of transmission.
Proceedings ArticleDOI

On model-based networked control of singularly perturbed systems

TL;DR: In this article, the state feedback control of the linear singularly perturbed plant is studied, where the sensor and the controller/actuator are connected via a network and the transmission frequency is constant.
Proceedings ArticleDOI

On the model-based networked control for singularly perturbed systems with nonlinear uncertainties

TL;DR: In this article, the model-based networked control for a class of singularly perturbed control systems with nonlinear uncertainties is addressed and it is shown that there exists the allowable upper bound of the singular perturbation parameter such that the modelbased network-based control system is global exponentially stable.
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