Stabilization of discrete-time quantized linear systems: An H∞/l1 approach

A generalized small-gain theorem, suitable for the analysis of practical stability, is proved in the framework of l₁ control. The result is combined with a practical stabilization technique based on a generalized small-gain theorem in H_∞. The resulting mixed H_∞/l₁ approach allows us to provide systematic tools for the control synthesis and the closed loop analysis in the practical stabilization of linear systems under assigned input quantization. A numerical example is reported.