In this paper, a new nonlinear control synthesis technique, the theta - D method, is employed to design a missile longitudinal autopilot. The theta -D technique yields suboptimal solutions to nonlinear optimal control problems in the sense that it provides approximate solution to the Hamilton-Jacobi-Bellman (HJB) equation. Semi-global asymptotic stability can be achieved by manipulating the perturbation terms which are added to the cost function in developing a series solution. Furthermore, this method can be used to provide an approximate closed-form solution to the state dependent Riccati equation. The particular theta -D methodology adopted in this paper is referred to as theta -D Hinfinity design. The theta -D Hinfinity design has the same structure as that of linear Hinfinity , except that the two Riccati equations are state dependent. By using the theta -D technique, we would eliminate the need for online computations of Riccati equations as in the recently popular state dependent Riccati equation technique. A missile longitudinal autopilot design demonstrates the capabilities of theta -D method.
Nonlinear Hinfinity missile longitudinal autopilot design with theta -D method
American Control Conference, 2003 ; 408-413
2003
6 Seiten, 9 Quellen
Conference paper
English
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