Proceedings ArticleDOI
Periodic Event triggered Control of Singularly Perturbed systems
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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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Journal ArticleDOI
Event-triggered control of nonlinear singularly perturbed systems based only on the slow dynamics
TL;DR: It is shown that existing event-triggering conditions can be adapted to singularly perturbed systems and semiglobal practical stability can be ensured in this case and another technique is proposed that combines event-triggered and time- Triggered results in the sense that transmissions are only allowed after a predefined amount of time has elapsed since the last transmission.
Journal ArticleDOI
Brief paper: H∞ control for fast sampling discrete-time singularly perturbed systems
Jiuxiang Dong,Guang-Hong Yang +1 more
TL;DR: 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.
Journal ArticleDOI
Event-Triggered Composite Control of a Two Time Scale System
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.
Journal ArticleDOI
A novel approach to periodic event-triggered control: Design and application to the inverted pendulum.
TL;DR: Experimental results show a significant improvement with respect to periodic control in the number of control actions for the rotary inverted pendulum.
Journal ArticleDOI
On the model-based networked control for singularly perturbed systems with nonlinear uncertainties
TL;DR: It is shown that there exists the allowable upper bound of the singular perturbation parameter such that the model-based networked control system is global exponentially stable.