Synthesis of H-Infinity Controllersin a Finite Time Interval

The article considers a problem of stabilization of an aircraft, which can be solved by finding output control. Sufficient conditions for H-inf- output control for linear dynamic systems are obtained. Two approximate methods of closed-loop systems synthesis are proposed. The first one is based on finding a pseudo-inverse matrix of the linear measuring system model. The second one based on synthesizing an asymptotic observer, which allows to formulate an estimate of a state vector, giving a possibility of further use of the obtained estimate in the control law. The paper contains a step-by-step algorithm of finding an H-inf -control of a closed-loop system.

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