We focus on robust H/sub /spl infin// control analysis and synthesis for discrete-time switched systems with norm-bounded time-varying uncertainties. Sufficient conditions are derived to guarantee quadratic stability of switched systems with a prescribed H/sub /spl infin//-norm bound /spl gamma/. Each of these conditions can be dealt with as a linear matrix inequality (LMI) which can be easily tested with efficient algorithms. All the switching rules adopted are constructively designed and do not rely on any uncertainties.