This paper presents an innovative approach for parametrizing a class of state-feedback pole-placement controllers through the minimum number of effective free parameters. The approach is based on the theory of hypothetical loop-decoupling. Linear and nonlinear functions of parameter coupling in the feedback gain matrices are disclosed to the problem of generic parametric poleplacement for a linear time-invariant controllable system. With the class depicted by the controllability indices for the hypothetical control loops, parametrization for state-feedback design can be achieved. The flexibility in loop pole-assignment for a multi-input system also affects the choice for the gain matrix. The excellence of the proposed method is illustrated by several numerical examples.
Juang, Jeng Yih
"On Parametric Pole-Placement for a Class of Linear Systems,"
Journal of Marine Science and Technology: Vol. 5:
1, Article 1.
Available at: https://jmstt.ntou.edu.tw/journal/vol5/iss1/1