Robust H∞ output feedback control for uncertain sampled-data systems via jump system approach

This paper is concerned with quadratic stability and stability with disturbance attenuation of a class of uncertain sampled-data systems. The class of systems under consideration is sampled-data systems with norm-bounded parameter uncertainties in all matrices of the state and output equations. The parametric uncertainty is of a linear fractional form. A jump system approach is employed to analyze such sampled-data systems. Jump systems represent a wide class of systems, including not only continuous-time and discrete-time systems, but also sampled-data systems. Our main results are equivalences between quadratic stability and quadratic stabilization with disturbance attenuation, and a scaled H_∞ control problem for jump systems as well as sampled-data systems. These imply that a quadratic stabilizing controller for uncertain sampled-data systems can be designed by solving a standard H_∞ controller for sampled-data systems.