Dynamic analysis and time response
We want to understand what happens when we get an imbalance from the steady-state, such that the system’s states change with time. For this purpose, let us consider the following incident (see Figure below):
Dynamic response in output y to step change in input u
1. The system is initially at rest steady state.
2. A change in one of the system’s independent variables (”input” u) occurs, for example, a change in external conditions or a parameter change, such that we get an imbalance and the system’s dependent variables (states and “outputs” y) change with time.
3. After a while (actually when t ? ?), the system will eventually approach a new equilibrium state, where it is again at rest new steady state.
Some examples are shown above.
In all these cases, we go from one steady state to another, and a steady-state model is sufficient to calculate the initial and final states. However, we need a dynamic model to say something about the dynamic response and to quantify what we mean by “eventually.” By the term response, we mean the time response for the dependent variable (output –y) when we change the independent variable (input –x).
المادة المعروضة اعلاه هي مدخل الى المحاضرة المرفوعة بواسطة استاذ(ة) المادة . وقد تبدو لك غير متكاملة . حيث يضع استاذ المادة في بعض الاحيان فقط الجزء الاول من المحاضرة من اجل الاطلاع على ما ستقوم بتحميله لاحقا . في نظام التعليم الالكتروني نوفر هذه الخدمة لكي نبقيك على اطلاع حول محتوى الملف الذي ستقوم بتحميله .
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