Title :
H2H∞ optimal control synthesis with an α-shifted pole constraint
Author :
Wang, Y. William ; Bernstein, Dennis S.
Author_Institution :
Dept. of Aerosp. Eng., Michigan Univ., Ann Arbor, MI, USA
Abstract :
It is shown that it is possible to construct an α-shifted augmented system which is twice that of the original system such that the exact H2 norm is preserved. An algorithm is developed that calculates the decentralized repeated gains. Based on numerical results, it is concluded that the new approach yields lower costs than Anderson and Moore´s approach (B.D.O. Anderson, J.B. Moore, 1989), in the sense that both the state and control costs are smaller. In principle, the approach is applicable to more general constraint regions, e.g., circular region, parabolic region, etc
Keywords :
control system synthesis; optimal control; poles and zeros; alpha -shifted augmented system; alpha -shifted pole constraint; circular region; control costs; decentralized repeated gains; general constraint regions; optimal control synthesis; parabolic region; Control system synthesis; Costs; H infinity control; Lagrangian functions; Measurement standards; Noise measurement; Optimal control; Output feedback; State feedback; Transfer functions; White noise;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371194