Norm based robust control of constrained discrete time linear systems

The author presents a theoretical framework to analyze the stability properties of constrained discrete-time systems under the presence of uncertainty. It is shown that this formalism provides a unifying approach, including as a particular case the well-known technique of estimating robustness bounds from the solution of a Lyapunov equation. These results are applied to the problem of designing feedback controllers capable of stabilizing a family of systems while at the same time satisfying state-space constraints. It is believed that the results presented here will provide a valuable approach to the problems of robust-controller analysis and design for linear systems