Sampled-data control of LPV systems using input delay approach

In this paper, we address the problem of sampled-data control design for continuous-time linear parameter varying (LPV) systems. The state-feedback control design method we develop in this paper relies on the information from the sampled states. Due to the combination of the system continuous-time dynamics and the controller discrete-time dynamics connected through A/D and D/A converter devices, the closed-loop system is a hybrid one. In order to analyze this hybrid system from both stability and performance perspectives, we employ the so-called input delay approach to map the closed-loop system into the continuous-time domain. This would help in the design of a sampled-data controller in a direct way without actually discretizing the continuous-time system. Due to the state-delay representation of the transformed closed-loop system imposed by the sampled-data controller, we further develop a delay-dependent approach for control synthesis purposes. The simulation results demonstrate the viability of the proposed control design method to satisfy the stability and performance objectives even for the varying sampling case.