"计算机控制系统的数学基础及设计方法"

"第二章-计算机控制系统的数学基础.ppt" and "第2章 计算机控制系统的设计方法" both discuss the mathematical foundations of computer control systems. This chapter covers topics such as the basics of computer control systems, mathematical descriptions of computer control systems, simulation design methods, and discrete design methods. One of the key concepts covered in this chapter is signal transformation in computer control systems. This includes the process of sampling, quantization, and representation of continuous signals as discrete signals. The sampling process involves replacing the continuous signal with a sequence of instantaneous values at discrete time intervals. These sampled signals can be decomposed into a series of single pulses, and the process can be represented mathematically through the use of functions and equations. The quantization process then involves approximating the amplitude of the discrete analog signal using a set of digital codes, such as binary codes, to convert it into a digital signal. This process ensures that the signal spectrum does not overlap with the continuous signal spectrum. Overall, this chapter provides a detailed and comprehensive understanding of the mathematical principles underlying computer control systems, and equips readers with the knowledge to apply these principles in the design and implementation of control systems. It serves as a valuable resource for students and professionals in the field of control system engineering.