Title :
Robust Pole Placement With Moore´s Algorithm
Author :
Schmid, R. ; Pandey, Ashutosh ; Thang Nguyen
Author_Institution :
Dept. of Electr. & Electron. Eng., Univ. of Melbourne, Melbourne, VIC, Australia
Abstract :
We consider the classic problem of pole placement by linear state feedback. We adapt the Moore eigenstructure assignment algorithm to obtain a novel parametric form for the pole-placing gain matrix, and introduce an unconstrained nonlinear optimization algorithm to obtain a gain matrix that will deliver robust pole placement. Numerical experiments indicate the algorithm´s performance compares favorably against several other notable robust pole placement methods from the literature.
Keywords :
eigenvalues and eigenfunctions; linear systems; matrix algebra; nonlinear programming; pole assignment; robust control; state feedback; Moore eigenstructure assignment algorithm; Moore´s algorithm; linear state feedback; pole-placing gain matrix; robust pole placement; unconstrained nonlinear optimization algorithm; Accuracy; Eigenvalues and eigenfunctions; Linear matrix inequalities; MATLAB; Robustness; Runtime; Vectors; Eigenstructure assignment; linear feedback control systems; robust control; state feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2274713