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full state feedback : ウィキペディア英語版
full state feedback
Full state feedback (FSF), or pole placement, is a method employed in feedback control system theory to place the closed-loop poles of a plant in pre-determined locations in the s-plane.〔
*〕 Placing poles is desirable because the location of the poles corresponds directly to the eigenvalues of the system, which control the characteristics of the response of the system. The system must be considered controllable in order to implement this method.
==Principle〔(Control Design Using Pole Placement )〕==

If the closed-loop input-output transfer function can be represented by a state space equation, see State space (controls),
:\dot\underline+\mathbf\underline;
:\underline = \mathbf\underline+\mathbf\underline
then the poles of the system are the roots of the characteristic equation given by
:\left|s\textbf-\textbf\right|=0.
Full state feedback is utilized by commanding the input vector \underline. Consider an input proportional (in the matrix sense) to the state vector,
:\underline=-\mathbf\underline.
Substituting into the state space equations above,
:\dot-\mathbf\mathbf)\underline;
:\underline = (\mathbf-\mathbf\mathbf)\underline.
The roots of the FSF system are given by the characteristic equation, \det\left(). Comparing the terms of this equation with those of the desired characteristic equation yields the values of the feedback matrix \textbf which force the closed-loop eigenvalues to the pole locations specified by the desired characteristic equation.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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