Research Initiation: Analysis and Computer-Aided Design of Multi-rate Digital Control Systems

本项目的目标是为多速率数字控制系统构建一个全面的计算机辅助设计方法，该方法与现有方案在以下五个方面的一个或多个不同：1)有效性-如果存在，将保证找到满足所需规格的控制器。2)自然性-使用智能控制规范语言编译器将允许设计人员直接参考传递函数，信号峰值，噪声功率，阶跃响应等。3)灵活性-设计人员将被允许表达约束或优化信号峰值，噪声功率，传递函数的频域行为，脉冲响应的时域行为，稳定时间，超调。和更多。4)通用性——它将严格地处理异步系统。5)可追溯性——利用可用的计算能力，大型系统的设计将成为可能。设计的控制器将具有合理的实现顺序。这将通过将普通的单速率“q设计”扩展到多速率控制系统，开发和编码用于用同步系统近似异步系统的分析，严格方法以及多速率控制器的模型缩减方法来完成。多速率数字控制系统在工业和军事上的广泛应用以及当前设计方法的缺点意味着本研究将对实际控制社区产生重大影响。

The objective of this project is to construct a comprehensive computer-aided design methodology for multi-rate digital control systems that differs from existing schemes in one or more of five points: 1) Effectiveness - It will be guaranteed to find a controller that meets the desired specifications if one exists. 2) Naturalness - The use of an intelligent control specification language compiler will allow designers to refer directly to transfer functions, signal peaks, noises powers, step responses, etc. 3) Flexibility - The designer will be allowed to express constraints or optimize on signal peaks, noise powers, frequency domain behavior of transfer functions, time domain behavior of pulse responses, settling times, overshoots, and more. 4) Generality - It will handle asynchronous systems, rigorously. 5) Tractability - Design of large systems will be possible with available computing power. Designed controllers will be of reasonable order for implementation. This will be accomplished by extending ordinary, single-rate "Q-Design" to multi-rate control systems, developing and coding analytical, rigorous methods for approximating asynchronous systems with synchronous ones and methods for model reduction of multi-rate controllers. The widespread industrial and military use of multi-rate digital control systems and the shortcomings of current design methodologies means this research should have significant impact in the practicing control community.