Data-driven event-triggered control for discrete-time piecewise-affine systems with input saturation

This paper investigates the data-driven event-triggered control design for discrete-time piecewise-affine (PWA) systems subject to actuator saturation. Distinct from conventional methods that rely on explicit mathematical models, the proposed scheme synthesises event-triggered feedback control gains directly from finite input-state data. This approach effectively bypasses the requirement for accurate system identification. Specifically, regional asymptotic stability conditions are derived via generalised sector modelling of actuator saturation and formulated as a linear matrix inequality (LMI) problem using a matrix-constrained relaxation to address epistemic uncertainties due to limited data. Furthermore, an optimisation approach using ellipsoidal approximations is proposed to maximise the estimated domain of attraction. The effectiveness of the developed scheme is verified through simulation examples.