Chapter 7 8 7.3 Pole placement and design of feedback matrix State feedback can be used to place eigenvalues(pole)of A in any position if the system is controllable. Pole placement:choosing state feedback gains to place poles in desired positions. Theorem:If the n-dimensional linear system is controllable,then the eigenvalues of 4-BK can arbitrarily assigned by state feedback u=r-Kx,where k is a 1xn real constant vector.7.3 Pole placement and design of feedback matrix • State feedback can be used to place eigenvalues(pole)of A in any position if the system is controllable. • Pole placement: choosing state feedback gains to place poles in desired positions. • Theorem: If the n-dimensional linear system is controllable, then the eigenvalues of A-BK can arbitrarily assigned by state feedback u=r-Kx, where k is a 1n real constant vector. Chapter 7 8