Title :
Model validation of multirate systems from time-domain experimental data
Author :
Chai, Li ; Qiu, Li
Author_Institution :
Dept. of Electr. & Electron. Eng., Hong Kong Univ. of Sci. & Technol., Kowloon, China
Abstract :
The model validation problem using time-domain experimental data is studied for multirate linear fractional uncertain models in this paper. As a technical tool, the Caratheodory-Fejer interpolation problem with a nest operator constraint is first investigated. This problem is itself of interest mathematically and has potential applications in addressing other problems in control, signal processing, and circuit theory. A necessary and sufficient solvability condition for this interpolation problem is given. The validation tests are then given based on this condition and the lifting technique. Tractable convex optimization methods can be used to solve the validation problems
Keywords :
computational complexity; control system synthesis; convex programming; interpolation; modelling; multivariable control systems; time-domain analysis; uncertain systems; Caratheodory-Fejer interpolation problem; circuit theory; control theory; interpolation problem; model validation; multirate linear fractional uncertain models; multirate systems; necessary and sufficient condition; nest operator constraint; signal processing theory; solvability condition; time-domain experimental data; tractable convex optimization methods; Communication system control; Control system synthesis; Interpolation; Optimal control; Process control; Robust control; Signal processing; System identification; Time domain analysis; Uncertainty;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.945784