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This study is concerned with the output tracking control problem for a class of cascade non-linear switched systems with external disturbances under some average dwell-time based switching laws. The problem is solved by the variable structure control technique. The variable structure controllers and the average dwell time are designed under which the output of the closed-loop switched system can follow the desired output exactly after a finite time interval and all the states remain globally bounded. The effectiveness of the proposed design approach is illustrated with simulation results.