Inner loop control of supersonic aircraft in the presence of aeroelastic modes

Longitudinal control system design is considered for a linearized dynamic model of a supersonic transport aircraft concept characterized by relaxed static stability and significant aeroelastic interactions. Two LQG-type controllers are designed using the frequency-domain additive uncertainty formulation to ensure robustness to unmodeled flexible modes. The first controller is based on a fourth-order model containing only the rigid-body modes, while the second controller is based on an eighth-order model that additionally includes the two most prominent flexible modes. The performance obtainable from the fourth-order controller is not adequate, while the eighth-order controller is found to provide better performance. Frequency domain and time-domain (Lyapunov) methods are subsequently used to assess the robustness of the eighth-order controller to parametric uncertainties in the design model.

[1]  Daniel P. Giesy,et al.  H-infinity norm sensitivity formula with control system design applications , 1993 .

[2]  Brett Newman,et al.  Conventional flight control for an aeroelastic, relaxed static stability high-speed transport , 1995 .

[3]  B. Barmish New tools for robustness analysis , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[4]  Jer-Nan Juang,et al.  Model reduction for flexible structures , 1990 .

[5]  Rama K. Yedavalli,et al.  Recent Advances in Robust Control , 1990 .

[6]  B. Moore Principal component analysis in linear systems: Controllability, observability, and model reduction , 1981 .

[7]  R. Yedavalli Perturbation bounds for robust stability in linear state space models , 1985 .

[8]  Wodek Gawronski,et al.  Model reduction for flexible space structures , 1989 .

[9]  Hartmut Logemann,et al.  Multivariable feedback design : J. M. Maciejowski , 1991, Autom..

[10]  Rajni V. Patel,et al.  Quantitative measures of robustness for multivariable systems , 1980 .

[11]  B. Anderson,et al.  Optimal control: linear quadratic methods , 1990 .

[12]  Suresh M. Joshi,et al.  Control of Large Flexible Space Structures , 1989 .

[13]  S.M. Joshi,et al.  Comparison of controller designs for an experimental flexible structure , 1992, IEEE Control Systems.

[14]  David J. N. Limebeer,et al.  Linear Robust Control , 1994 .

[15]  K. Glover All optimal Hankel-norm approximations of linear multivariable systems and their L, ∞ -error bounds† , 1984 .

[16]  Rama K. Yedavalli,et al.  Flight control application of new stability robustness bounds for linear uncertain systems , 1993 .

[17]  Mark J. Balas,et al.  Trends in large space structure control theory: Fondest hopes, wildest dreams , 1982 .