Integrated optimum design of structure and H-infinity control system

An approach for an integrated optimum design of a structure and an H∞ control system is presented. The complex method and the genetic algorithm are adopted in the optimization process in the integrated design. The structural shape and the control system, including the locations of both sensors and actuators, are optimized simultaneously by the proposed approach. The improvement of frequency response shaping under the constraint of the structural mass can be realized by the integrated optimum design presented in this paper. The desired properties with respect to the control performance and the robustness are realized by the frequency shaping ability of H∞ control. Effectiveness of the presented approach is verified by both simulation and experiment by the integrated design of a panel structure and H∞ control system.

[1]  N. Khot,et al.  Structural-Control Optimization with H2 and H Constraints , 1993 .

[2]  J. Junkins,et al.  Eigenvalue optimization algorithms for structure/controller design iterations , 1985 .

[3]  Franklin E. Eastep,et al.  Optimal structural modifications to enhance the active vibration control of flexible structures , 1986 .

[4]  P. Khargonekar,et al.  State-space solutions to standard H/sub 2/ and H/sub infinity / control problems , 1989 .

[5]  Singiresu S. Rao,et al.  Optimization Theory and Applications , 1980, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Firdaus E. Udwadia,et al.  Simultaneous optimization of controlled structures , 1988 .

[7]  R. Haftka,et al.  An approach to structure/control simultaneous optimization for large flexible spacecraft , 1987 .

[8]  V. B. Venkayya,et al.  DYNAMICS AND CONTROL OF SPACE STRUCTURES , 1987 .

[9]  M. Safonov,et al.  Simplifying the H/sup infinity / theory via loop shifting , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[10]  Raphael T. Haftka,et al.  An analytical and experimental study of a control system's sensitivity to structural modifications , 1987 .

[11]  J. Junkins,et al.  A Simultaneous Structure/Controller Design Iteration Method , 1985, 1985 American Control Conference.

[12]  M. Milman,et al.  Combined control-structural optimization , 1991 .

[13]  P. Khargonekar,et al.  STATESPACE SOLUTIONS TO STANDARD 2 H AND H? CONTROL PROBLEMS , 1989 .

[14]  David Miller,et al.  Integration of structures and controls - some computational issues , 1985, 1985 24th IEEE Conference on Decision and Control.

[15]  Akio Nagamatsu,et al.  Approach for simultaneous optimization of a structure and control system , 1994 .

[16]  M. Safonov,et al.  SIMPLIFYING THE H" THEORY VIA LOOP SHIFTING* , 1988 .