Robust Autopilot Design with Maximum Stability Radius

This paper presents the robust control design for aircraft autopilot. The controller provides a maximum stability radius to the closed-loop system. The technique uses the notion of complex stability radius and the Linear Matrix Inequalities (LMI) to obtain the feedback controller gain. The technique is illustrated on a feedback controller of an autopilot system of a twin engine civil aircraft. The results is compared to those that are obtained using a linear quadratic regulator (LQR) technique.

[1]  P. Van Dooren,et al.  Maximizing the stability radius: an LMI approach , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[2]  G. L. Wise,et al.  Robust stability and stabilizing via bounded perturbations based on stability radii , 1994, Proceedings of IEEE International Conference on Systems, Man and Cybernetics.

[3]  D. Hinrichsen,et al.  Stability radius for structured perturbations and the algebraic Riccati equation , 1986 .

[4]  Chee Pin Tan,et al.  Feedback controller and observer design to maximize stability radius , 2005, 2005 IEEE International Conference on Industrial Technology.

[5]  Edward J. Davison,et al.  A formula for computation of the real stability radius , 1995, Autom..

[6]  Diederich Hinrichsen,et al.  An algorithm for the computation of the structured complex stability radius , 1989, Autom..

[7]  Samir Bennani,et al.  Robust flight control : a design challenge , 1997 .

[8]  D. Luenberger An introduction to observers , 1971 .

[9]  D. Hinrichsen,et al.  Stability radii of linear systems , 1986 .

[10]  D. Hinrichsen,et al.  Real and Complex Stability Radii: A Survey , 1990 .

[11]  Iven Mareels,et al.  On stability radii of slowly time-varying systems , 2001 .

[12]  S. Gutman,et al.  A general theory for matrix root-clustering in subregions of the complex plane , 1981 .

[13]  Samir Bennani,et al.  Robust Flight Control , 1997 .

[14]  Rini Akmeliawati,et al.  Stability Analysis of Gain-Scheduled Control and Automation for Flight Control Systems , 1999 .

[15]  Bahram Shafai,et al.  A structurally constrained LMI approach to maximizing the real stability radius by state feedback , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).