An ISS self-triggered implementation of linear controllers

By Manuel Mazo Jr., Adolfo Anta Martinez, Paulo Tabuada. at - Automatisierungstechnik, 2009

426 citations recorded by the source corpus.

Nowadays control systems are mostly implemented on digital platforms and, increasingly, over shared communication networks. Reducing resources (processor utilization, network bandwidth, etc.) in such implementations increases the potential to run more applications on the same hardware. We present a self-triggered implementation of linear controllers that reduces the amount of controller updates necessary to retain stability of the closed-loop system. Furthermore, we show that the proposed self-triggered implementation is robust against additive disturbances and provide explicit guarantees of performance. The proposed technique exhibits an inherent trade-off between computation and potential savings on actuation.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Hardware and Architecture

View Paper: https://www.semanticscholar.org/paper/1bcf6228063bb20361671c4ef191233592602fff

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Citations in the corpus

Output-Based Event-Triggered Control With Guaranteed ${\cal L}_{\infty}$-Gain and Improved and Decentralized Event-Triggering (2012, methodology): “For this event-trig-gering mechanism, Theorem IV.1, or its counterpart Theorem 5.1 in [31], yields a lower bound on the inter-event times 3 of 0.0318.”
Dynamic Triggering Mechanisms for Event-Triggered Control (2013, methodology): “The use of internal dynamic variables in ETM can be found in several works such as [8], [12], [14] where the proposed mechanisms are equipped with internal clocks, or in [10], [11] where some of the proposed mechanisms uses an internal dynamic variable which can also be seen as a clock (it is monoto”
A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems (2015, methodology): “For eventtriggered control, ISS has been used to describe the influence of data-sampling to control [4], [20], [21].”
A Delay System Method for Designing Event-Triggered Controllers of Networked Control Systems (2013, methodology): “However, as shown in [1], [11], [13], [21], [22], the average release period based on a self-triggered scheme is often smaller than the one based on an event-triggered scheme.”
A distributed event-triggered transmission strategy for sampled-data consensus of multi-agent systems (2014, methodology): “A self-triggered scheme is investigated for a single control system in Mazo and Tabuada (2010) and Wang and Lemmon (2009).”
Recent developments on the stability of systems with aperiodic sampling: An overview (2017, methodology): “Self-triggered control mechanisms with stability guarantees have been proposed in [264,265,6,64,23] using the Input/Output stability approach, in [166,161,255] using discrete-time Lyapunov functions, in [61,63] using convex embeddings, in [219] using a hybrid formulation and in [62] using a time-del”