Minimizing the norm of output feedback controllers used in pole placement: a dyadic approach

Back Matter

“…Whether that be the case or not, what new pure Rayleigh quotient/Euler equation mathematical theory can be developed, for possible use elsewhere in the future? Hints are the claim of angle bisection in [Cameron (1983)], and that the constraint trace (KK T ) be minimized in [Cameron and Kouvaritakis (1980)]. The latter is an SVD problem, asking for most efficient solution.…”

Research problem

“…The problem originally arose in attempts to design control systems with minimum norm feedback matrices [2,3], but it has also occurred in the study of the stability of multivariable nonlinear feedback systems [4].…”

A parametric approach for eigenvalue assignment by static output feedback

“…In particular, parameterizations of state feedback [10,[12][13][14] and output feedback controllers [1][2][3][4][5][6][7][8][9][10][14][15][16][17][18][19][20][21][22] have received much attention in recent years. The problem of eigenvalue assignment by static output feedback is rather a more difficult problem than that of state feedback, but is more crucial in most practical systems since state measurements may not be always possible.…”