Nonlinear H Infinity Missile Longitudinal Autopilot Design with Θ-D Method

Ming Xin
S. N. Balakrishnan, Missouri University of Science and Technology

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In this paper, a new nonlinear control synthesis technique, the theta- D method, is employed to design a missile longitudinal autopilot. The θ-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 θ-D methodology adopted in this paper is referred to as θ-D H infinity design. The θ-D H infinity design has the same structure as that of linear H infinity, except that the two Riccati equations are state dependent. By using the θ-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 θ-D method.