Self-Triggered Output-Feedback Control of LTI Systems Subject to Disturbances and Noise

Self-triggered control (STC) and periodic event-triggered control (PETC) are aperiodic sampling techniques aiming at reducing control data communication when compared to periodic sampling. In both techniques, the effects of measurement noise in continuous-time systems with output feedback are unaddr...

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Bibliographic Details
Published in:arXiv.org 2020-07
Main Authors: Gabriel de Albuquerque Gleizer, Mazo, Manuel
Format: Article
Language:English
Subjects:
Continuous time systems
Control data (computers)
Data communication
Disturbances
Feedback control
Noise
Noise control
Noise measurement
Output feedback
Sampling methods
State estimation
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Summary:Self-triggered control (STC) and periodic event-triggered control (PETC) are aperiodic sampling techniques aiming at reducing control data communication when compared to periodic sampling. In both techniques, the effects of measurement noise in continuous-time systems with output feedback are unaddressed. In this work we prove that additive noise does not hinder stability of output-feedback PETC of linear time-invariant (LTI) systems. Then we build an STC strategy that estimates PETC's worst-case triggering times. To accomplish this, we use set-based methods, more specifically ellipsoidal sets, which describe uncertainties on state, disturbances and noise. Ellipsoidal reachability is then used to predict worst-case triggering condition violations, ultimately determining the next communication time. The ellipsoidal state estimate is recursively updated using guaranteed state estimation (GSE) methods. The proposed STC is designed to be computationally tractable at the expense of some added conservatism. It is expected to be a practical STC implementation for a broad range of applications.
ISSN:2331-8422