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Self-triggered output-feedback control of LTI systems subject to disturbances and noise. (English) Zbl 1448.93094

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.

MSC:

93B52 Feedback control
93C62 Digital control/observation systems
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory
93C05 Linear systems in control theory
93B70 Networked control
93B03 Attainable sets, reachability
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References:

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