Geometric H∞ control of nonlinear Markovian jump system

This paper discusses the geometric H ∞ control problem for nonlinear Markovian jump systems. For every jump mode, the appropriate diffeomorphism is established to transform the system into the standard form, then the H ∞ control can be designed directly through discussing the minimumphase property o...

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Bibliographic Details
Main Authors: Zhongwei Lin, Jizhen Liu, Yuguang Niu, Wenguang Zhang
Format: Conference Proceeding
Language:English
Subjects:
Control systems
Educational institutions
Laboratories
Nonlinear systems
Power system stability
Renewable energy sources
Transforms
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Summary:This paper discusses the geometric H ∞ control problem for nonlinear Markovian jump systems. For every jump mode, the appropriate diffeomorphism is established to transform the system into the standard form, then the H ∞ control can be designed directly through discussing the minimumphase property of the system, which has overcomed the difficulty of solving the traditional coupled Hamilton-Jacobi inequalities (HJIs).
DOI:10.1109/MMAR.2013.6670006