Controller Reduction of Parameter Dependent Systems

This paper proposes a controller reduction of linear parameter dependent systems. A measure of the degradation is derived for the parameter dependent closed-loop performance caused by applying the reduced-order parameter dependent controller. This measure can be obtained by extending the degradation of the closed-loop performance of the balanced truncation of the corresponding time invariant systems. To verify the performance of the reduced- order controller, an application of the proposed controller reduction method to vertical acceleration of a missile is presented.

[1]  P. Apkarian,et al.  Advanced gain-scheduling techniques for uncertain systems , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[2]  D. Enns Model reduction with balanced realizations: An error bound and a frequency weighted generalization , 1984, The 23rd IEEE Conference on Decision and Control.

[3]  Henrik Sandberg,et al.  Balanced model reduction of linear time-varying systems , 2002 .

[4]  B.D.O. Anderson,et al.  Controller design: moving from theory to practice , 1993, IEEE Control Systems.

[5]  K. Glover,et al.  Approximation of linear parameter-varying systems , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[6]  Kemin Zhou,et al.  Structurally balanced controller order reduction with guaranteed closed loop performance , 1995 .

[7]  H. El-Zobaidi,et al.  Robust control and model and controller reduction of linear parameter varying systems , 1998, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171).

[8]  Alan J. Laub,et al.  The LMI control toolbox , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[9]  Pierre Apkarian,et al.  Self-scheduled H∞ control of linear parameter-varying systems: a design example , 1995, Autom..

[10]  Sanjay Lall,et al.  Error-bounds for balanced model-reduction of linear time-varying systems , 2003, IEEE Trans. Autom. Control..