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Chapter 3 State Variable Models - Engineering

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1Chapter 3State Variable ModelsThe State Variables of a Dynamic SystemThe State Differential EquationSignal-Flow Graph State VariablesThe Transfer Function from the State Equation2Introduction In the previous Chapter , we used Laplace transform to obtain the transfer function Models representing linear, time-invariant, physical systems utilizing block diagrams to interconnect systems. In Chapter 3, we turn to an alternative method of system modeling using time-domain methods.

4 Terms • State: The state of a dynamic system is the smallest set of variables (called state variables) so that the knowledge of these variables at t = t 0, together with the knowledge of the input for t ≥t 0, determines the behavior of the system for any time t ≥t 0. • State Variables:The state variables of a dynamic system are the variables making up the smallest set of variables ...

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