Synthesis of Optimal Robust H∞-Control by Convex Optimization Methods

Authors:
D. V. Balandin;M. M. Kogan
Affiliations:
Lobachevskii State University, Nizhni Novgorod, Russia;Nizhni Novgorod University of Architecture and Civil Engineering, Nizhni Novgorod, Russia
Venue:
Automation and Remote Control
Year:
2004

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Abstract

It is shown that the synthesis of robust H∞-control with respect to the output for systems with unknown limited parameters reduces to the solution of an optimization problem under constraints prescribed by a system of linear matrix inequalities. For this kind of problems, an optimization algorithm implemented with the use of standard procedures of the MATLAB package is suggested.The algorithm effectiveness is illustrated by the example of an optimal dampening of vibrations of a parametrically perturbed pendulum.