Identification and cancellation of sums of narrow-band signals and disturbances

可预测和周期性的信号出现在广泛的领域，从电力系统、金属加工、结构分析、音乐、机器人手术、通风机控制，以及石化炼油业务中的温度日变化。早在1973年，多伦多大学的Francis和Wonham发展了内部模型原理，该原理指出，精确匹配，从而消除反馈系统中的任何外部信号，都是通过在回路中放置信号模型来实现的。然而，这需要精确地了解信号的周期和衰减，而不是幅度或相位。研究人员通过展示如何自适应地识别频率和展示如何将自适应内模主控制器扩展为信号识别算法，大大削弱了这一要求。调查员建议将这项工作扩展到以下方向。I)许多可预测信号不是周期性的，而是具有固定的衰减率。这方面的例子是飞机机翼或悬索桥的结构模式。研究人员确信，可以用类似于识别频率的方式来识别该衰减率或衰减系数。Ii)本方法需要准确了解信号中的频率分量的数目。调查者认为这可以实时学习或自适应地识别III)调查者计划在有色噪声存在的情况下从理论上检验算法的行为。Iv)研究人员计划将该算法应用于机器人手术中的震颤控制、机器人结构模式识别和音乐转录等领域。

Predictable and periodic signals occur in a vast array of fields ranging from power systems, metal processing, structural analysis, music, robotic surgery, ventilator control, and diurnal variations in temperatures in petrochemical refining business. As early as 1973, Francis and Wonham at U. of Toronto developed the internal model principle which states that exact matching, and hence cancellation of any exogenous signal in a feedback system is achieved by placing a model of the signal in the loop. However, this requires precise knowledge of the period and decay, but not amplitude or phase, of the signal. The investigator has substantially weakened this requirement by showing how to adaptively identify the frequency and shown how to extend an adaptive internal model principal controller as a signal identification algorithm. The investigator proposes to extend this work in the following directions. i) Many predictable signals are not periodic, but have fixed decay rates. Examples of this are the structural modes of an airplane wing or suspension bridge. The investigator is confident that this decay rate, or damping coefficient can be identified in a manner similar to identifying the frequency. ii) The present approach requires exact knowledge of the number of frequency components in the signal. The investigator believes that this can be learned or adaptively identified in real-time iii) The investigator plans to theoretical examine the behaviour of the algorithm in the presence of colored noise. iv)The investigator plans to apply the algorithm in the fields of tremor control in robotic surgery, identification of structural modes in robots, and music transcription.