Title :
Robust strict positive realness: characterization and construction
Author :
Anderson, Brian D O ; Dasgupta, S. ; Khargonekar, Pramod ; Kraus, Frantisek J. ; Mansour, Mohamed
Author_Institution :
Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
Abstract :
Let P be a convex set of real polynomials. Consideration is given to the question of when there exists a real polynomial b (s), or, more generally, a real transfer function b (s), such that p(s)/b(s) is strictly positive real for all p(s)∈P. Necessary and sufficient conditions are found for the transfer function case, and when the degree of the polynomials in P is restricted, such conditions are also found for the polynomial b(s) case. Closely related results are also obtained for a z-transform version of the problem. The results have application in adaptive systems
Keywords :
Z transforms; polynomials; transfer functions; adaptive systems; real polynomials; real transfer function; robust strict positive realness; z-transform; Adaptive control; Automatic control; Automation; Cities and towns; Filters; Industrial electronics; Polynomials; Robustness; Systems engineering and theory; Transfer functions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70150