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Tham khảo tài liệu 'crc press mechatronics handbook 2002 by laxxuss episode 3 part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 25 Response of Dynamic Systems 25.1 System and Signal Analysis Continuous Time Systems Discrete Time Systems Laplace and z-Transform Transfer Function Models 25.2 Dynamic Response Pulse and Step Response Sinusoid and Frequency Response 25.3 Performance Indicators for Dynamic Systems Raymond de Callafon Step Response Parameters Frequency Domain University of California Parameters 25.1 System and Signal Analysis In dynamic system design and analysis it is important to predict and understand the dynamic behavior of the system. Examining the dynamic behavior can be done by using a mathematical model that describes the relevant dynamic behavior of the system in which we are interested. Typically a model is formulated to describe either continuous or discrete time behavior of a system. The corresponding equations that govern the model are used to predict and understand the dynamic behavior of the system. A rigorous analysis can be done for relatively simple models of a dynamic system by actually computing solutions to the equations of the model. Usually this analysis is limited to linear first and second order models. Although limited to small order models the solutions tend to give insight in the typical responses of a dynamic system. For more complicated higher order and possibly nonlinear models numerical simulation tools provide an alternative for the dynamic system analysis. In the following we review the analysis of linear models of discrete and continuous time dynamic systems. The equations that describe and relate continuous and discrete time behavior are presented. For the analysis of continuous time systems extensive use is made of the Laplace transform that converts linear differential equations into algebraic expressions. For similar purposes a z-transform is used for discrete time systems. Continuous Time Systems Models that describe the linear continuous time dynamical behavior of a system are usually given in the form of differential equations that relate
