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Co-design of event generator and controller for event-triggered control system

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TLDR
In this article, a sufficient condition for the existence of the event-triggered controller and event generator is established using the linear matrix inequalities, and the sufficient conditions for non-trivial inter-execution times are presented using an inverted pendulum mechanism.
Abstract
This paper proposes the preliminary results on the co-design of event generator and controller for event-triggered control system. By applying a quadratic input-to-state stable Lyapunov function, a sufficient condition for the existence of the event-triggered controller and event generator is established using the linear matrix inequalities. We further present a sufficient condition for non-trivial inter-execution times. Using an inverted pendulum mechanism, the effectiveness of the proposed method is illustrated in contrast to a standard linear-quadratic regulator implemented in an event-triggered style.

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Citations
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Suboptimal Event-Triggered Control for Time-Delayed Linear Systems

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Event-Triggered Control for Linear Systems Subject to Actuator Saturation

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Co-design of output feedback laws and event-triggering conditions for linear systems

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References
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Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks

TL;DR: This note investigates a simple event-triggered scheduler based on the paradigm that a real-time scheduler could be regarded as a feedback controller that decides which task is executed at any given instant and shows how it leads to guaranteed performance thus relaxing the more traditional periodic execution requirements.
Book

Control System Design

TL;DR: A key aspect of the book is the frequent use of real world design examples drawn directly from the authors' industrial experience, represented by over 15 substantial case studies ranging from distillation columns to satellite tracking.
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Input-to-state stability for discrete-time nonlinear systems

TL;DR: The input-to-state stability property and small-gain theorems are introduced as the cornerstone of new stability criteria for discrete-time nonlinear systems.
Journal ArticleDOI

Brief paper: A state-feedback approach to event-based control

TL;DR: An upper bound of the difference between both loops is derived, which shows that the approximation of the continuous state-feedback loop by the event-based control loop can be made arbitrarily tight by appropriately choosing the threshold parameter of the event generator.

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.
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