Synthesis of linear quadratic control laws on basis of linear matrix inequalities

Authors:
D. V. Balandin;M. M. Kogan
Affiliations:
Lobachevskii State University, Nizhni Novgorod, Russia;Nizhni Novgorod State University of Architecture and Civil Engineering, Nizhni Novgorod, Russia
Venue:
Automation and Remote Control
Year:
2007

Citing 5
Cited 1

Matrix analysis

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Abstract

Classic problems of control law construction for a linear dynamic object that is optimal by the quadratic criterion in the determinate and stochastic cases are reduced, as is known, to solving nonlinear matrix Riccati equations. It is shown that the notion of H 2-norm of a system transfer matrix makes it possible to formulate and solve the stated problems in terms of linear matrix inequalities.