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Journal ArticleDOI

Event-Triggered Composite Control of a Two Time Scale System

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TLDR
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.

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Citations
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Journal ArticleDOI

Dynamic Event-Triggered State Estimation for Discrete-Time Singularly Perturbed Systems With Distributed Time-Delays

TL;DR: This paper addresses the state estimation problem for a class of discrete-time singularly perturbed systems with distributed time-delays with dynamic event-triggered scheme and proposes a design algorithm for the desired state estimator ensuring that the error dynamics is exponentially mean-square ultimately bounded.
Journal ArticleDOI

Boundary Constrained Control of Flexible String Systems Subject to Disturbances

TL;DR: The hyperbolic barrier Lyapunov function and auxiliary systems are adopted to develop boundary constrained control with a disturbance observer for restraining vibrations, eliminating input and state constraints, and tackling external disturbances.
Journal ArticleDOI

A Dynamic Event-Triggered Approach to H ∞ Control for Discrete-Time Singularly Perturbed Systems With Time-Delays and Sensor Saturations

TL;DR: A novel Lyapunov–Krasovskii functional dependent on the singular perturbation parameter (SPP) is constructed, and an output-feedback controller design scheme is developed to ensure that, for any SPP not exceeding a prescribed upper bound, the closed-loop system is asymptotically stable with a guaranteed performance index.
Journal ArticleDOI

Security Control for Multi-Time-Scale CPSs Under DoS Attacks: An Improved Dynamic Event-Triggered Mechanism

TL;DR: An improved dynamic ETM is proposed, with which the closed-loop system can achieve a better control performance than traditional dynamic ETMs in the transient process and cope with the ill-conditioned numerical issues generated by the MTSF.
References
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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.
Journal ArticleDOI

On the model-based networked control for singularly perturbed systems

TL;DR: In this paper, the control of a two-time-scale plant, where the sensor is connected to a linear controller/actuator via a network, is addressed, and it is shown that the whole systems via the network control are generally asymptotically stable as long as their slow and fast systems are both stable.
Journal ArticleDOI

Digital Event-Based Control for Nonlinear Systems Without the Limit of ISS

TL;DR: Using the perturbation theorem, event-triggering mechanisms (ETMs), not based on the framework of input to state stable, are proposed for a class of nonlinear systems with suitable exponentially converging threshold signals and ensure the solutions of the closed-loop ETC systems exponentially converges to the origin.
Proceedings ArticleDOI

Event triggered control of two time scale system

TL;DR: It is proved that the closed loop system asymptotically converges to an adjustable region around the equilibrium point and a minimum bound on inter-execution time is also guaranteed.
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