Practical synchronization of horizontal platform systems with parameter mismatch via output feedback control

The robust practical synchronization of two chaotic horizontal platform systems with parameter mismatch via output feedback control is investigated. Some simple yet general algebraic criteria are derived based on practical stability theory of nonautonomous dynamical system. A distinctive feature of this work is that the parameter mismatch can not only be existed in system parameters, but also in external excitation ones. Furthermore, the values of parameters mismatched can be uncertain, which only their bounds need to be known. Besides, output feedback control including a differentiation filter only needs to know information about one state, which provides an advantage over the use of full-state model-based observers. Finally, numerical simulations further demonstrate the effectiveness of the criteria and the robustness of the control technique. It is believed that the presented technique may provide a valuable insight into the underlying use of chaos synchronization in practical designs and engineering applications.