以压电陶瓷-碳纤维增强复合材料层合板为研究对象，基于状态向量法和传递矩阵法建立了层合板的力电耦合运动方程。基于状态向量法和传递矩阵法的动力学模型能够更好地体现出带有不同铺层角度的层合板的固有特性。通过建立的动力学模型对碳纤维增强层合板和压电元件所组成的压电系统在MATLAB中进行状态空间方程求解。将解析结果与有限元结果相对比，仿真结果与解析结果具有良好的一致性，验证了模型正确。通过滑模控制，分析层合板在不同形式外部激励信号作用下的振动时域响应。在施加控制后，系统输出响应的幅值下降约为原来的50%。

Based on the state vector method and transfer matrix method, the coupled motion equations of piezoelectric ceramic-carbon fiber reinforced composite laminates are established. Dynamic models based on the state vector method and transfer matrix method can better reflect the inherent characteristics of laminated plates with different ply angles. The state space equations of the piezoelectric system composed of carbon fiber reinforced laminates and piezoelectric elements are solved in MATLAB by the established dynamic model. Comparing the analytical results with the finite element results, the simulation results are in good agreement with the analytical results, which verifies the correctness of the model. Through sliding mode control, the vibration time-domain response of laminated plates under different external excitation signals is analyzed. After the control is applied, the amplitude of the output response of the system decreases by about 50%.