Approximate methods of H-infinity control of nonlinear dynamic systems output

Abstract

The problem of findingH∞-regulators in the output control problem is considered. Two approaches for approximate synthesis of the closed loop systems are proposed. The paper considers the problem of finding the H-infinity control of a nonlinear continuous dynamical system output. The system is linear in control and perturbation, with a finite time of the system operation. Methods for finding H-infinity control are used to solve problems of synthesis of controllers, particularly for solving the problem of synthesis of controllers in conditions of incomplete state information. In such problems, it is difficult to find the structure of the regulator and its parameters. SufficientH∞-control conditions are formulated and proved. Two approximate methods for finding the H-infinity controller of closed loop nonlinear continuous systems were proposed. To illustrate the application of the methods, the problem of stabilization of the ZD559-Lynx helicopter, whose flight takes place during the imposed time period of the system operation, was considered.