a symbolic computation approach to parameterizing controller for polynomial hamiltonian systems

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ID: 204424
2014
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Abstract
This paper considers controller parameterization method of H∞ control for polynomial Hamiltonian systems (PHSs), which involves internal stability and external disturbance attenuation. The aims of this paper are to design a controller with parameters to insure that the systems are H∞ stable and propose an algorithm for solving parameters of the controller with symbolic computation. The proposed parameterization method avoids solving Hamilton-Jacobi-Isaacs equations, and thus the obtained controllers with parameters are relatively simple in form and easy in operation. Simulation with a numerical example shows that the controller is effective as it can optimize H∞ control by adjusting parameters. All these results are expected to be of use in the study of H∞ control for nonlinear systems with perturbations.
Reference Key
cao2014mathematicala Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Zhong Cao;Xiaorong Hou
Journal journal of power sources
Year 2014
DOI
10.1155/2014/806428
URL
http://dx.doi.org/10.1155/2014/806428
Keywords
civil engineering (general)mathematics engineering (general)

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