An iterative algorithm for pole placement by output feedback

Eigenvalue Placement by Quantifier Elimination - the Static Output Feedback Problem

“…The results on eigenvalue assignability for generic systems can be summarized as follows [50]: If d(m, r) is odd, the eigenvalues of a generic system can be assigned arbitrarily by static output feedback (13) if and only if condition (17) holds. If d(m, r) is even, the generic system has the arbitrary eigenvalue assignability if mr > n. For procedures to solve the assignment problem with static output feedback numerically see [15,16,22,30,55] and references cited therein. Instead of eigenvalue placement, we consider the stabilization problem now.…”

“…was introduced in [18]. In [10], the authors considered different static output feedback structures K = k 11 k 12 k 21 k 22 , K = k 11 0 k 21 k 22 , K = k 11 0 0 k 22 (30) for system (29). .…”

Strong Stabilization of Mimo Systems: A Projection Approach

“…However, there are many algorithms in the literature which solve this problem. Any of the algorithms given in [19,20] may be used to find a full rank constant matrix H such that (A 1 − B u HC 1 ) is stable. Lemma 3.…”

Static Output Feedback Pole Placement via a Trust Region Approach

“…In principle, one can then for example apply Gröbner basis techniques however the computational complexity of such methods limits their use to small dimensional problems [1]; see also [10]. Other approaches include [18], though convergence is not analyzed and it is not clear whether the method is even locally convergent; [15] and [19] which build on eigenstructure assignment methods; and [20] which is based on numerical homotopy methods.…”