NDLI: Nonlinear disturbance decoupling with stability

Content Provider	IEEE Xplore Digital Library
Author	Byrnes, C.I. Isidori, A.
Copyright Year	1987
Description	Author affiliation: Universita di Roma, Rome, Italy (Isidori, A.) \|\| Arizona State University, Tempe, AZ, USA (Byrnes, C.I.)
Abstract	In this paper, we present a solution to the problem of achieving both decoupling of an output of a nonlinear system from (nonlinear) disturbances and uniform BIBO stability of the closed-loop state equations driven by the disturbances. While this involves asymptotic stabilization of the nonlinear system as a special case, BIBO stability entails much more. For example, in the context of DDP, under a fairly mild additional ssumption, BIBO stabilization will imply that the system is minimum phase, in the sense that the nonlinear zero dynamics are globally asymptotically stable. Our main result is a substantial partial converse asserting, modulo technicalities concerning completeness of vector fields, that when DDP is solvable, when the disturbance channels are bounded and when the system is exponentially minimum phase, DDP with uniform BIBO stability (DDPS) can be achieved via state feedback. We remark that our solution of DDPS is valid not just for initial data at an equilibrium, but for a priori bounded sets of initial data. The methods used are special cases of general techniques for the analysis and design of nonlinear feedback systems which will appear elsewhere in a forthcoming series of papers. The result is illustrated for the case of a two generator, lossless PV power system.
Starting Page	513
Ending Page	518
File Size	438701
Page Count	6
File Format	PDF
DOI	10.1109/CDC.1987.272894
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1987-12-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Equations
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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