An extension to the pseudo control strategy with application to an eigenstructure assignment yaw pointing/lateral translation control law

K.M. Sobel and F.J. Lallman (Journal of Guid., Contr., and Dyn., vol.12, no.3 pp.318-324, May-Jun, 1989) used eigenstructure assignment to design a yaw pointing/lateral translation controller for the linearized lateral dynamics of the flight propulsion control coupling aircraft. The authors propose an extension to the pseudo control strategy given by Sobel and Lallman which allows the designer to trade off the coupling in the lateral translational response with the minimum of the smaller singular value of (I+FG) by adjusting a two-dimensional parameter vector denoted by α. When α is the zero vector, then the new adjustable strategy reduces to the pseudo control shown by Sobel and Lallman. A new yaw pointing/lateral translation eigenstructure assignment controller is presented, which uses the new extension to the pseudo control strategy. The extension to the pseudo control strategy is shown to allow the designer freedom in trading off robustness and yaw pointing decoupling when using eigenstructure assignment