Controller Design for Systems With Multipacket Transmissions

Abstract

This paper investigates the problem of stability analysis and state-space-equation controller design for a type of nonlinear systems in which measurement data of the sensors and the control signals are communicated through independent communication channels via a multiple-packet transmission policy. The packet delays (and dropouts) at the sensors side and the actuators side are assumed to be different in properties and are treated separately. A framework of stability analysis and controller design under multiple-packet transmission policy is derived by simultaneous consideration of quantization effect, successive packet delays, dropouts, and noises. The main results are obtained by constructing a new Lyapunov functional and using a new tight bounding technique without introducing any free-weighting matrices. As a general tool for designing state-space-equation controllers for networked control systems, the presented method is less conservative with reduced number of variables and larger upper bounds of time-delays, which is shown by numerical examples.