Title :
Grammian assignment for stochastic-parameter systems and their stabilization under randomly varying delays
Author :
Yaz, Engin ; Ray, Asok
Author_Institution :
Dept. of Electr. Eng., Arkansas Univ., Fayetteville, AR, USA
Abstract :
The motivation for the work reported in this paper accrues from the necessity of finding stabilizing control laws for systems with randomly varying distributed delays. It reports the development of assignability conditions for mean square controllability and observability Grammians in discrete-time stochastic parameter systems, and shows how to parametrize the static output feedback gains to achieve a certain Grammian assignment. All assignable Grammians are expressed either as the simultaneous solutions of a Riccati-like matrix inequality and a linear equation or as a nonlinear matrix equation with a free parameter
Keywords :
controllability; delays; discrete time systems; feedback; matrix algebra; observability; stability; stochastic systems; Grammian assignment; Riccati-like matrix inequality; assignability conditions; discrete-time system; distributed delays; mean square controllability; nonlinear matrix equation; observability Grammians; stabilization; static output feedback gains; stochastic-parameter systems; Communication system control; Control system synthesis; Control systems; Controllability; Delay estimation; Delay systems; Observability; Riccati equations; Stochastic systems; Vectors;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411407
