Title :
Lower bounds in multi-objective H2/H∞ problems
Author_Institution :
Mech. Eng. Syst. & Control Group, Delft Univ. of Technol.
fDate :
6/21/1905 12:00:00 AM
Abstract :
In this paper we discuss a multiobjective control problem that involves several H2-norm and H∞-norm constraints. In an accompanying paper we show how to efficiently compute a sequence of upper bounds that converges monotonically from above to the optimal value of such problems. If more than one H∞ constraint is involved, it is shown how to compute as well a sequence of lower bounds that converges to the optimum. This complements the tools available for multiobjective LMI based control by a stopping criterion
Keywords :
H∞ control; computational complexity; convergence; H∞-norm constraints; H2-norm constraints; lower bounds; monotonic convergence; multiobjective H2/H∞ problems; multiobjective LMI based control; upper bound sequence; Control systems; Embedded computing; Hilbert space; Mechanical engineering; Multi-stage noise shaping; Noise reduction; Noise robustness; Robust control; Shape control; Upper bound;
Conference_Titel :
Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
Conference_Location :
Phoenix, AZ
Print_ISBN :
0-7803-5250-5
DOI :
10.1109/CDC.1999.827912
