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First, the existence conditions on the solutions to the algebraic Riccati equation are reviewed. Then, a strict proof is presented for a necessary and sufficient condition on the existence of a unique optimal positive definite solution to this equation. By using this condition, some untrue results on the design of robust decentralized controllers are corrected.
An optimal guidance method using the range as an independent variable for the reentry maneuverable spacecraft is presented in this paper. Firstly, the aerodynamic coefficients are estimated by using the strong tracking filter (STF). Then, the linear deviation equations are formulated by linearising the original nonlinear equations of motion around the nominal trajectory. Finally, the optimal linear...
In this paper, the minimum-fuel, multiple-impulse, time-fixed rendezvous problem is investigated on the basis of the linearized equation of relative motion of two orbital spacecraft. By means of Lagrangian multiplier technique, a new method for designing optimal rendezvous is presented. Using this procedure, we can obtain a closed loop control law and an optimal solution required for rendezvous....
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