Title :
The robust H2 control problem: a worst-case design
Author :
Stoorvogel, A.A.
Author_Institution :
Dept. of Math. Comput. Sci., Eindhoven Univ. of Technol., Netherlands
fDate :
9/1/1993 12:00:00 AM
Abstract :
The worst-case effect of a disturbance system on the H 2 norm of the system is analyzed. An explicit expression is given for the worst-case H2 norm when the disturbance system is allowed to vary over all nonlinear, time-varying and possibly noncausal systems with bounded L2-induced operator norm. An upper bound for this measure, which is equal to the worst-case H2 norm if the exogeneous input is scalar, is defined. Some further analysis of this upper bound is done, and a method to design controllers which minimize this upper bound over all robustly stabilizing controllers is given. The latter is done by relating this upper bound to a parameterized version of the auxiliary cost function studied in the literature
Keywords :
control system analysis; optimal control; stability; auxiliary cost function; bounded L2-induced operator norm; disturbance system; optimal control; robust H2 control; stability; upper bound; worst-case design; Constraint theory; Control systems; Cost function; Design methodology; Hydrogen; Robust control; Robust stability; Robustness; Time varying systems; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
