In the digital world, the physical models are often naturally presented in terms of sampled data. This chapter deals with the discretization of a continuous‐time model. It introduces input and output models in discrete‐time. The control systems in discrete‐time are in general designed using discrete‐time models and implemented using the discrete‐time control algorithms. In the discrete‐time, shift operators are defined, which will convert the operation of a difference equation to an algebraic operation. The discrete‐time counterpart of the Laplace transform is the z ‐transform. The eigenvalues of a discrete‐time model are directly related to their continuous‐time counterpart. The concept of shift operators, both forward and backward shift, is important in discrete‐time systems. The introduction of shift operators gives us the tools to handle the difference equations using algebraic operations.
Introduction to Discrete‐time Systems
2022-12-19
33 pages
Article/Chapter (Book)
Electronic Resource
English
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