Title :
Robust nonnegative stabilization of interval discrete systems
Author :
Shafai, B. ; Hollot, C.V.
Author_Institution :
Dept. of Electr. & Comput. Eng., Northeastern Univ., Boston, MA, USA
Abstract :
The authors consider the class of nonnegative discrete-time systems and analyze the matrix theoretical results involving nonnegative maintainability with respect to the problem of robust stabilization of interval discrete systems. Using state feedback, a controller which may include an observer such that the closed-loop interval system is robustly stabilized and at the same time becomes nonnegative is designed. The procedure is to characterize the set of robust controllers by means of matrix inequalities, and to choose a suitable controller by solving an optimization algorithm
Keywords :
closed loop systems; discrete time systems; feedback; matrix algebra; stability; closed-loop interval system; interval discrete systems; matrix inequalities; matrix theoretical results; nonnegative discrete-time systems; nonnegative maintainability; optimization; robust nonnegative stabilisation; state feedback; Control systems; Eigenvalues and eigenfunctions; Iterative algorithms; Linear matrix inequalities; Maintenance engineering; Riccati equations; Robust control; Robust stability; Robustness; State feedback; Uncertainty;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261250
