Affiliation:
1. Department of Mechanical Engineering, Texas A & M University, College Station, TX 77843-3123
Abstract
Considered in this paper is the problem of robust stabilization of a family of interval plants by a single fixed compensator. A frequency domain sufficient condition determines the closed-loop stability. In particular if a specially constructed frequency function does not, at any frequency ω ∈ [0, ∞], intersect the box [−1, 1] × [−1, 1] in the complex plane then the entire closed loop family is stable. Also identified is a class of interval plants for which the sufficient condition in fact does become necessary.
Subject
Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering
Reference6 articles.
1. Bartlett C. , HollotV., and LinH., 1988, “Root Locations of an Entire Polytope of Polynomial: It Suffices to Check the Edges,” Mathematics of Control, Signals and Systems, Vol. 1, pp. 61–71.
2. Chapellat H. , and BhattacharyyaS., 1989, “A Generalization of Kharitonov’s Theorem: Robust Stability of Interval Plants,” IEEE Trans. on Auto Contr., Vol. 34, Mar., pp 306–311.
3. Shaw, J., and Jayasuriya, S., 1991, “Robust Stability of Interval Plants: A Geometric Approach for Simplification,” submitted for publication in the ASME JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL.
4. Fu, M.Y., 1989, “Polytope of Polynomials with Zeros in Prescribed Region: New Criteria and Algorithms,” Robustness in Identification and Control, M. Milanese, R. Tempo, and A. Vicino, eds., Plenum, NY, pp. 125–146.
5. Tsypkin, Y., and Polyak, B., 1991, “Frequency Domain Criteria for Robust Stability of Polytope of Polynomials,” Proceedings of the International Workshop on Robust Control, CRC Press, San Antonio, TX, Mar., pp. 491–500.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Identification of a multivariable interval dynamic model from measurements in the frequency domain;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;1998-07-01