NDLI: On Control System Described by a Class of Nonlinear Differential-Algebraic Equations: State Realization and Local Control

Content Provider	IEEE Xplore Digital Library
Author	McClamroch, N. Harris
Copyright Year	1990
Description	Author affiliation: Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan (McClamroch, N. Harris)
Abstract	A theoretical framework for the study of control systems defined by a class of nonlinear differential-algebraic equations is established. We first introduce the class of nonlinear control system considered, which is represented by a special but important class of nonlinear differential-algebraic equations. Assumptions are given for which the defining nonlinear differential-algebraic equations are well posed, in the sense that for given input and given consistent initial data, in a specified smooth manifold, there exists a unique smooth solution. A procedure for obtaining a local nonlinear state realization is developed; this realization can thus form the basis for control of the original differential-algebraic system. An approach for design of a linear feedback controller which achieves local regulation near an equilibrium solution is suggested. The framework established in this paper generalizes recent developments for control of mechanical systems with holonomic constraints and for control of mechanical systems with classical nonholonomic constraints.
Starting Page	1701
Ending Page	1706
File Size	522387
Page Count	6
File Format	PDF
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1990-05-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Nonlinear control systems Control systems Differential equations Nonlinear equations Mechanical systems Nonlinear systems Input variables Adaptive control Feedback Nonlinear dynamical systems
Content Type	Text
Resource Type	Article

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