Title :
A homotopy algorithm for the combined H-2/H-infinity model reduction problem
Author :
Ge, Yuzhen ; Collins, Emmanuel G. ; Watson, Layne T. ; Bernstein, Dennis S.
Author_Institution :
Dept. of Comput. Sci., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA
Firstpage :
0.666666666666667
Abstract :
The authors attempt to make significant progress in developing novel stable, globally convergent numerical algorithms for solving the optimality conditions for H-2/H-infinity order reduction given in W. M. Haddad (1989). The approach taken is based on the construction of probability-one homotopy maps. Homotopy algorithms based on two formulations - input normal form; and Ly, Bryson, and Cannon´s (1985) 2 × 2 block parametrization - are developed and compared. Numerical results are presented
Keywords :
H∞ control; feedback; matrix algebra; numerical stability; optimal control; H-2/H-infinity model reduction; block parametrization; feedback control; homotopy algorithm; input normal formulation; matrix equations; optimality conditions; probability-one homotopy maps; stable globally convergent numerical algorithms; Constraint optimization; Costs; H infinity control; Hydrogen; Lagrangian functions; Reduced order systems; Symmetric matrices; Upper bound;
Conference_Titel :
Southeastcon '93, Proceedings., IEEE
Conference_Location :
Charlotte, NC
Print_ISBN :
0-7803-1257-0
DOI :
10.1109/SECON.1993.465721
