Stable inversion and parameter variations

✍ Scribed by L.R. Hunt; Viswanath Ramakrishna; George Meyer

• Book ID: 104301173
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 79 KB
• Volume: 34
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(98)00026-7

✦ Synopsis

As part of the process of automatically guiding an aircraft, we have been successful in using stable inversion to compute a desired bounded state trajectory and corresponding bounded control. In addition to this feedforward control, we must also construct a regulator to address modeling errors and disturbances. With respect to modeling errors we ÿnd that the stable inversion procedures used are so accurate that the regulator can assume a simple form, say a linear regulator about the desired trajectory. We show that under the appropriate assumptions, the bounded state trajectory and bounded control computed through stable inversion depend continuously on the parameters of the system. This is a consequence of a mathematical result that we prove about the continuous dependence of the "particular solution" of a time varying nonlinear system driven by a bounded input. This is distinct from the usual continuous dependence of the initial value problem for systems.