Robust Stability and Performance Analysis of a Longitudinal Aircraft Model Using Sum of Squares Techniques

In this paper we demonstrate how the recently developed sum of squares techniques can be used to analyze robust stability and robust performance of quasi-LPV models. We show the effectiveness of the methodology through the analysis of the stability and performance of a nonlinear control law applied to an uncertain quasi-LPV model of the short-period dynamics of an F/A-18 aircraft

[1]  A. Papachristodoulou,et al.  On the construction of Lyapunov functions using the sum of squares decomposition , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[2]  P Smith,et al.  Translational motion control of VSTOL aircraft using nonlinear dynamic inversion , 1995 .

[3]  P. Apkarian,et al.  Relaxations of parameterized LMIs with control applications , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[4]  Fen Wu,et al.  Induced L2‐norm control for LPV systems with bounded parameter variation rates , 1996 .

[5]  A. Papachristodoulou,et al.  Analysis of Non-polynomial Systems using the Sum of Squares Decomposition , 2005 .

[6]  Dan Bugajski,et al.  Dynamic inversion: an evolving methodology for flight control design , 1994 .

[7]  C. Papageorgiou.  Robustness analysis of nonlinear dynamic inversion control laws for flight control applications , 2003 .

[8]  Dale F. Enns,et al.  Nonlinear control law with application to high angle-of-attack flight , 1992 .

[9]  A. Packard,et al.  Robust performance of linear parametrically varying systems using parametrically-dependent linear feedback , 1994 .

[10]  P. Parrilo.  Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization , 2000 .

[11]  E. Yaz.  Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[12]  P. Gahinet,et al.  Affine parameter-dependent Lyapunov functions and real parametric uncertainty , 1996, IEEE Trans. Autom. Control..

[13]  Michael Athans,et al.  Analysis of gain scheduled control for nonlinear plants , 1990 .

[14]  Stephen P. Boyd,et al.  Linear Matrix Inequalities in Systems and Control Theory , 1994 .