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This paper presents a simplified parameterization of all Hinfin static state feedback controllers in terms of a single algebraic Riccati equation and a free parameter matrix. As a special case, necessary and sufficient conditions for the existence of an Hinfin static output feedback gain are given. An efficient computational algorithm is given. No initial stabilizing output feedback gain is needed...
The H2 control problem consists of stabilizing the control system while minimizing the H2 norm of its transfer function. Several solutions to this problem are available. For systems in state space form, an optimal regulator can be obtained in observer form by solving two algebraic Riccati equations. For systems described by transfer functions, either Wiener-Hopf optimization or projection results...
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