The external description of a system is sometimes also referred to as the Input-Output Description of the system, because it only deals with the inputs and the outputs to the system. This chapter alone will be devoted to a discussion of the mathematical modeling of the systems.Įxternal Description An external description of a system relates the system input to the system output without explicitly taking into account the internal workings of the system. The vast majority of this book is going to be focused on (2), the analysis of the mathematical systems. Model the system mathematically Analyze the mathematical model Design system/controller Implement system/controller and test System Modeling The Control Process When designing a system, or implementing a controller to augment an existing system, we need to follow some basic steps: 1. Visually Here is an image of the various system metrics, acting on a system in response to a step input: Now, we will show how to find the various error constants in the Z-Domain:

Where the constant N is the order of the digital system. Z-Domain Type Likewise, we can show that the system order can be found from the following generalized transfer function in the Z domain: Print version From Wikibooks, the open-content textbooks collection 2 Control Systems/Print version - Wikibooks, collection of open-content textbooks