This study develops a novel event-triggered control design methodology for discrete-time dynamic systems characterised by linear parameter-varying (LPV) models. To this end, an event-triggering mechanism is first introduced for LPV systems aiming at reducing the data transmission of states, scheduling variables and controller outputs, i.e. at both the sensor and the controller nodes. Then, an event-based LPV state feedback controller is proposed to achieve a reference tracking objective. Sufficient conditions for simultaneous design of the controller parameters and event-triggering conditions are provided in terms of linear matrix inequality conditions to guarantee the stability of the closed-loop system and to track a desired step reference signal. The experimental results are finally presented to demonstrate and validate the properties and performance of the proposed control design approach on a laboratory tank system.