H∞ control for nonlinear differential-algebraic equations
Resource
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Journal
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Pages
-
Date Issued
1998-12
Date
1998-12
Author(s)
Wang, He-Sheng
Yung, Chee-Fai
Chang, Fan-Ren
DOI
N/A
Abstract
In this paper, we study the /spl Hscr//sub /spl infin// control problem for nonlinear differential-algebraic equations (DAE). Necessary and sufficient conditions are derived for the existence of a controller solving the problem. We first give various sufficient conditions for the solvability of /spl Hscr//sub /spl infin// control problem for DAE. Both state feedback and output feedback cases are considered. Then, necessary conditions for the output feedback control problem to be solvable are obtained in terms of two Hamilton-Jacobi inequalities plus a weak coupling condition. Moreover, a parameterization of a family of output feedback controllers solving the problem is also provided.
Type
journal article
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