Abstract: In this chapter, the state-space analysis of continuous systems is presented. A system model, called the state-space model, provides a more suitable model that gives the complete description of the dynamical behavior of a system. This is achieved by including the internal states, called the state variables, of the system in addition to the input and output variables in the model of a system. The state variables are the minimum set of variables, which completely describe the state of the system. From the state equations, we can determine any parameter of interest in the system. Write the state equations, N for a Nth-order system, using state variables and their first derivatives plus inputs only. That is, we get N simultaneous first-order differential equations in standard or normal form with the derivative terms alone on the left side of the equation. The output of a system can be determined in the time domain or frequency domain. The transfer function can be obtained from the state-space model of a system and vice versa. Various forms of realizations are possible for the same transfer function. Controllability and observability of systems, which are critical for the design, can be determined from the state-space model.
Publication Year: 2022
Publication Date: 2022-09-23
Language: en
Type: book-chapter
Indexed In: ['crossref']
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