A direct parameter-error co-design approach of discrete-time saturated LPV systems

International audienceConsidering a discrete-time linear parameter-varying (LPV) systems with input constraints, the paperdeals with the co-design of a parameter-dependent state-feedback controller and a new parameter-dependent event-triggering mechanism. Two independent event-triggeringpolicies are introduced at the sensor node to economizethe limited network resources. They indicate whether thecurrent state or the current scheduling parameters shouldbe transmitted to the controller or not. In this sense, thecontroller scheduling parameters can differ from those ofthe system, yielding a certain degree of robustness con-cerning parameter deviations. Sufficient conditions, givenin terms of linear matrix inequalities (LMIs), ensure the re-gional asymptotic stability of the closed loop. To formulatedthem, we use the Lyapunov theory along with the gener-alized sector condition. Moreover, we formulate a convexoptimization procedure indirectly reducing the transmis-sion activity over the network. The proposed methodologyeffectiveness is attested through numerical examples andcomparisons with related works from the literature