Title :
Robust stability and design of linear discrete-time SISO systems under l1 uncertainties
Author :
Polyak, B.T. ; Halpern, M.E.
Author_Institution :
Inst. of Control Sci., Moscow, Russia
Abstract :
This paper shows how value sets and the zero exclusion principle can be used to obtain results on the robust stability and design of controllers against a special infinite dimensional l1 norm bounded parametric uncertainty in both numerator and denominator of scalar discrete-time plants. This parametric uncertainty has properties of both parametric and unstructured uncertainty and allows standard H ∞ design tools to be used without conservatism
Keywords :
H∞ control; control system synthesis; discrete time systems; linear systems; polynomials; robust control; uncertain systems; H∞ design tools; infinite dimensional l1 norm bounded parametric uncertainty; l1 uncertainties; linear discrete-time SISO systems; robust stability; scalar discrete-time plants; unstructured uncertainty; value sets; zero exclusion principle; Books; Control system synthesis; Control theory; Convergence; Polynomials; Robust stability; Robustness; Sensor systems; Testing; Uncertainty;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657711
