Title :
A class of algorithms for identification in H∞: continuous-time case
Author :
Akcay, Huseyin ; Gu, Guoxiang ; Khargonekar, Pramod P.
Author_Institution :
Dept. of Mech. Eng. & Appl. Mech., Michigan Univ., Ann Arbor, MI, USA
fDate :
2/1/1993 12:00:00 AM
Abstract :
The problem of system identification in H∞ for the continuous-time case is investigated. It is shown that the class of systems with a lower bound on the relative stability, an upper bound on the steady-state gain, and an upper bound on the roll-off rate is admissible. This allows one to develop a class of robustly convergent nonlinear algorithms. The algorithms in this class have a two-stage structure and are characterized by the use of window functions. Explicit worst-case error bounds in H∞ norm between the identified model and the unknown system are given for a particular algorithm. An example is provided to illustrate the application of the results obtained
Keywords :
convergence; identification; H∞ identification; continuous-time systems; lower bound; relative stability; robustly convergent nonlinear algorithms; roll-off rate; steady-state gain; upper bound; window functions; worst-case error bounds; Computer aided software engineering; Frequency response; H infinity control; Mechanical engineering; Noise level; Robustness; Stability; Steady-state; System identification; Upper bound;
Journal_Title :
Automatic Control, IEEE Transactions on
