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The design problem of l1 filters was studied for a class of discrete-time switched singular systems with positive constraints and time-varying delays. Through construction of an appropriate co-positive Lyapunov function and with the average dwell time technique, sufficient conditions in the form of linear programming were provided to ensure the corresponding filtering error system to be positive, regular, causal and exponentially stable. In addition, the effect of the exogenous disturbance input on the system performance was also analyzed and discussed. The sufficient conditions and design mechanisms for the corresponding filter to ensure that the filtering error system has the prescribed l1 disturbance attenuation performance were also given. Finally, a simulation example was provided to verify the effectiveness and feasibility of the proposed method. [ABSTRACT FROM AUTHOR]