Given the system matrix A=[0 1 0 0;3 0 0 2; 0 0 0 1; 0 -2 0 0] and B=[0 0;1 0;0 0;0 1], From the characteristic equation
Posted: Sun May 15, 2022 5:14 pm
Given the system matrix A=[0 1 0 0;3 0 0 2; 0 0 0 1; 0 -2 0 0]
and B=[0 0;1 0;0 0;0 1], From the characteristic equation
determinant(A-BF) the eigenvalues{-1,-3,-5,-8} are found. How do I
reverse the process to find the gain F?
0 1 0 0 Consider a satellite multi-input controllable system from Chen's textbook, page 151 0 0 dx(t) 3 0 2 x(t)+ u(t) dt 1 0 1 0 0 0 0 0 0 0 -2 0 0 0 1 Use the procedure for assignment of closed-loop eigenvalues for multi-input systems to find the feedback gain matrix F such that the closed-loop matrix A - BF has eigenvalues located at -1,-3,-5,-8.
and B=[0 0;1 0;0 0;0 1], From the characteristic equation
determinant(A-BF) the eigenvalues{-1,-3,-5,-8} are found. How do I
reverse the process to find the gain F?
- Given The System Matrix A 0 1 0 0 3 0 0 2 0 0 0 1 0 2 0 0 And B 0 0 1 0 0 0 0 1 From The Characteristic Equation 1 (41.31 KiB) Viewed 44 times