Nonlinear gain-scheduled control design using set-valued methods

Kuang Hsuan Tu, Jeff S. Shamma

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

19 Scopus citations


This paper presents a nonlinear gain-scheduled control design approach using set-valued methods. Previous results for set-valued methods for linear parameter-varying (LPV) systems are applied to nonlinear systems with quasi-LPV representations. The proposed design approach differs from traditional gain-scheduling in several aspects: (1) linearization errors are accommodated as linear state-dependent disturbances, (2) constraints on system states and controls are specified, and (3) rates of transitions among operating regions are explicitly addressed. As a consequence, even "local" set point designs are nonlinear. Nonlinear parameter-dependent state feedback which is guaranteed to achieve constrained regulation, is constructed by solving several linear programs.

Original languageEnglish (US)
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Number of pages5
StatePublished - 1998
Externally publishedYes
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: Jun 24 1998Jun 26 1998

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other1998 American Control Conference, ACC 1998
Country/TerritoryUnited States
CityPhiladelphia, PA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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