陀螺仪系统同步控制的参数自适应滑模控制

针对带有内部不确定性及外部扰动的陀螺仪混沌系统的同步问题,提出了一种参数自适应滑模控制方法,并给出参数自适应律.该方法不依赖被控混沌系统的数学模型,可以快速跟踪主混沌系统.时域及复频域理论分析表明,由参数自适应滑模控制器组成的闭环控制系统是全局渐近稳定的,而且参数自适应滑模控制器具有良好的抗扰动鲁棒性.仿真结果表明该控制方法计算量小、响应速度快、控制精度高、抗扰动鲁棒性强,在非线性不确定系统控制领域具有广泛的应用价值.

Parameter adaptive sliding mode control for synchronous control of gyroscope system

A parameter adaptive sliding mode control method and the parameter adaptive law are given aiming at the gyroscopic chaos synchronization. The parameter adaptive sliding mode control has completely avoided the high frequency switching caused by the symbolic function of the sliding mode surface and effectively eliminated the high frequency chattering in the existing sliding mode control. This method features a small calculation amount and can track the main chaotic system quickly without depending on the mathematical model of the controlled chaotic system. The analysis and simulation experiments based on the time and complex frequency domains both show that the parameter adaptive sliding mode control method is characterized by global asymptotic stability. The research results indicate that the control method proposed in this paper not only features fast response speed, high control accuracy and good anti-disturbance robustness, Therefore, it has important theoretical significance and application value in the field of control engineering.