Central suboptimal H∞ control design for nonlinear polynomial systems

This paper presents the central finite-dimensional H infin regulator for nonlinear polynomial systems, that is suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previousl...

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Bibliographic Details
Main Authors: Basin, M., Peng Shi, Calderon-Alvarez, D.
Format: Conference Proceeding
Language:English
Subjects:
Attenuation
Centralized control
Control systems
Hydrogen
Nonlinear control systems
Nonlinear equations
Nonlinear systems
Optimal control
Polynomials
Regulators
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Summary:This paper presents the central finite-dimensional H infin regulator for nonlinear polynomial systems, that is suboptimal for a given threshold gamma with respect to a modified Bolza-Meyer quadratic criterion including the attenuation control term with the opposite sign. In contrast to the previously obtained results, the paper reduces the original H infin control problem to the corresponding optimal H 2 control problem, using the technique proposed in. The paper yields the central suboptimal H infin regulator for nonlinear polynomial systems in a closed finite-dimensional form, based on the optimal H 2 regulator obtained in. Numerical simulations are conducted to verify performance of the designed central suboptimal regulator for nonlinear polynomial systems against the central suboptimal H infin regulator available for the corresponding linearized system.
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.2009.5160267