Stabilization and robust stabilization of nonlinear differential-algebraic systems: a Hamiltonian function method

Yanhong Liu Yanhong Liu,Chunwen Li Chunwen Li,Rebing Wu Rebing Wu

doi:10.1109/acc.2006.1655458

Stabilization and robust stabilization of nonlinear differential-algebraic systems: a Hamiltonian function method

Yanhong Liu Yanhong Liu, Chunwen Li Chunwen Li + Show 1 more

https://doi.org/10.1109/acc.2006.1655458

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Publication Date: Jan 1, 2006

Citations: 17

Affiliation: Tsinghua University, Princeton University

#Nonlinear Differential Algebraic Systems #Hamiltonian Function Method + Show 8 more

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Abstract

The stabilization and robust stabilization of nonlinear differential algebraic systems (NDAS) are investigated using the Hamiltonian function method. Based on a novel dissipative Hamiltonian realization structure, we first present a criterion for the stability analysis of NDAS and construct a stabilization controller consequently. Then, for NDAS in presence of disturbances, the L <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sub> gain is analyzed via generalized Hamilton-Jacobi inequality. An H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">infin </sub> control strategy is proposed for Hamiltonian realizable NDAS

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