Using state observers theory, the drive and response systems are constructed, and then synchronization control of a new piecewise-linear chaotic system is achieved. The sufficient condition is deduced for synchronizing two chaotic systems with different initial values. Theoretical analysis shows that the algorithm has no special requests for the original systems, nor needs the Lyapunov functions to be solved, which makes it adequate to control piecewise chaotic systems. Satisfactory results of simulation experiments verified the validity of this algorithm. The method can quickly synchronize two systems at different initial values. This algorithm should be feasible for synchronization control of a class of piecewise chaotic systems.