ABSTRACT
Abstract The application driving this research is automatic flight control, and, in particular, the problem of aircraft guidance. Many applied mathematicians and engineers view this problem after much of the difficult work has been done. Given the state flight trajectory and the major control action, they will show you how to use feedback to stabilize about the trajectory. In the types of problems we consider, the entire control cannot be generated by feedback alone. A major question is "how does one determine the state flight trajectory and the corresponding control, both of which must be bounded?". In our experience, answering this question well allows the control designer to use a fairly straightforward regulator to handle modeling errors and disturbances. The main goal of this paper is to generate the desired bounded state trajectory and the corresponding bounded control to follow this trajectory. This is done through nonlinear system inversion.
