Flight Control Law Design Using Dynamic Inversion for Linear Parameter Varying Systems

[+] Author and Article Information
D. Malloy

The Boeing Company, Philadelphia, PA 19142

B. C. Chang

Department of Mechanical Engineering, Drexel University, Philadelphia, PA 19104

J. Dyn. Sys., Meas., Control 120(2), 200-207 (Jun 01, 1998) (8 pages) doi:10.1115/1.2802410 History: Received May 07, 1996; Online December 03, 2007


A regulator design technique is presented for linear parameter varying (LPV) systems. This technique may be applied to many different types of systems, including nonlinear, due to the broad class of systems that may be represented by LPVs. The regulator, consisting of an inner loop and an outer loop, renders the closed-loop system’s steady-state input-output to be linear time invariant (LTI) and causes the output to track a commanded trajectory. With real-time, accurate parameter data, the inner loop effectively cancels the parameter dependent terms. The outer loop is designed using LTI H∞ synthesis to enable the closed loop system to meet stability and performance goals. Due to the inner loop controller and imperfect parameter cancellation, the complete closed-loop system is likely to be a nonlinear function of the parameters and their derivatives. To assess the stability using the quadratic Lyapunov test, we model the closed-loop system as a polytopic system. The key ideas are illustrated with a nonlinear aircraft flight control example.

Copyright © 1998 by The American Society of Mechanical Engineers
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