Critically stable damping in flexible structure control

Abstract The concept of critically stable damping and its application to flexible structure control are presented. Critically stable damping was originally noted from the viewpoint of control-structure integration. It was recognized that a slight augmentation of structural damping would result in substantially more robust control without decreased performance and could guarantee the stability margin for any structural frequency increase. This paper illustrates the wide occurrence of critically stable damping phenomenon, establishes its basic relationship for the insight of the general design procedure, and applies the concept into the practical design of a satellite with a large deployable antenna. It is noted that the critically stable damping concept could provide a feasible approach to overcome the difficulty in ultra-large space structure design and control, and enhance the performance of a variety of excellent control design methodologies for flexible structure control. This critically stable damping provides new insight into the integrated design of control and structure.

[1]  Dennis S. Bernstein,et al.  Benchmark Problems for Robust Control Design , 1991, 1991 American Control Conference.

[2]  Richard Gueler,et al.  Passive damping for robust feedback control of flexible structures , 1993 .

[3]  John Harris,et al.  Handbook of mathematics and computational science , 1998 .

[4]  Anthony J. Calise,et al.  Loop transfer recovery approach to H(infinity) design for the coupled mass benchmark problem , 1992 .

[5]  Nesbitt W. Hagood,et al.  Experimental investigation into passive damping enhancement for space structures , 1991 .

[6]  L. D. Peterson,et al.  Improved integrated structural control design using covariance control parameterization , 1995 .

[7]  Bong Wie,et al.  Control synthesis for flexible space structures excited by persistent disturbances , 1992 .

[8]  W. Gevarter.  Basic relations for control of flexible vehicles , 1969 .

[9]  Richard Adams,et al.  Combined linear quadratic Gaussian and H-infinity control of a benchmark problem , 1992 .

[10]  Loren I. Slafer,et al.  Control System Design in the Presence of Severe Structural Dynamics Interactions , 1978 .

[11]  Jason L. Speyer,et al.  Applications of a game theoretic controller to a benchmark problem , 1992 .

[12]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[13]  M. Trubert,et al.  Testing and application of a viscous passive damper for use in precision truss structures , 1991 .

[14]  Bong Wie,et al.  Space Vehicle Dynamics and Control , 1998 .

[15]  P. Hughes,et al.  Stability of Proportional-Plus-Derivative-Plus-Integral Control of Flexible Spacecraft , 1979 .

[16]  Achille Messac.  Control-Structure Integrated Design with Closed-Form Design Metrics Using Physical Programming , 1998 .

[17]  David K. Schmidt,et al.  Integrated structure/control law design by multilevel optimization , 1989 .

[18]  Oded Yaniv,et al.  Benchmark problem solution by quantitative feedback theory , 1992 .

[19]  Qiang Liu,et al.  Robust H-infinity control synthesis method and its application to benchmark problems , 1992 .

[20]  James L. Gaspar,et al.  Solar Sail Structural Characterization Test Program , 2007 .

[21]  John M. Vance,et al.  Rotordynamic Bearing Dampers for Cryogenic Rocket Engine Turbopumps , 2003 .

[22]  Bong Wie,et al.  Stability robustness margin computation for structured real-parameter perturbations , 1991 .

[23]  Huageng Luo,et al.  Nonlinear Dynamic Characterization of Oil-Free Wire Mesh Dampers , 2008 .

[24]  Dennis S. Bernstein,et al.  Application of maximum entropy optimal projection design synthesis to a benchmark problem , 1992 .

[25]  Bong Wie,et al.  Classical control system design and experiment for the Mini-Mast truss structure , 1991 .

[26]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .

[27]  Karl Johan Åström,et al.  Approximate Pole Placement Approach , 1992 .

[28]  Frank Anthony McLoughlin.  Integrated Structural Damping and Control System Design for High-Order Flexible Systems , 1991 .

[29]  Giovanni B. Palmerini,et al.  Vibration control of a flexible space manipulator during on orbit operations , 2012 .

[30]  E. G. Collins,et al.  Robust Control Design for a Benchmark Problem Using a Structured Covariance Approach , 1990, 1990 American Control Conference.

[31]  Leang S. Shieh,et al.  Observer-based robust-H-infinity control laws for uncertain linear systems , 1992 .

[32]  Bong Wie,et al.  Robust H ∞ Control Synthesis Method and Its Application to a Benchmark Problem , 1991 .

[33]  Singiresu S. Rao,et al.  Robustness Improvement of Actively Controlled Structures through Structural Modifications , 1990 .

[34]  Robert F. Stengel,et al.  Robustness of solutions to a benchmark control problem , 1992 .

[35]  Piero Angeletti,et al.  SATELLITE ANTENNAS FOR BROADBAND MOBILE COMMUNICATIONS MISSIONS , 2003 .

[36]  John T. Spanos,et al.  Control-structure interaction in precision pointing servo loops , 1989 .

[37]  Arthur E. Bryson,et al.  Parameter-robust control design using a minimax method , 1992 .

[38]  Y. Wu,et al.  Precision Beacon-Assisted Attitude Control for Spaceway , 2003 .

[39]  Arthur L. Hale,et al.  Optimal simultaneous structural and control design of maneuvering flexible spacecraft , 1985 .

[40]  Zhang Xianmin,et al.  Simultaneous optimal structure and control design of flexible linkage mechanism for noise attenuation , 2007 .

[41]  Steven A. Lane,et al.  Overview of the Innovative Space-Based Radar Antenna Technology Program , 2011 .

[42]  Bong Wie,et al.  Active vibration control synthesis for the control of flexible structures mast flight system , 1988 .

[43]  Richard D. Braatz,et al.  Robust control for a noncollocated spring-mass system , 1992 .

[44]  Joseph R. Maly,et al.  Hubble Space Telescope solar array damper for improving control system stability , 2000, 2000 IEEE Aerospace Conference. Proceedings (Cat. No.00TH8484).

[45]  Houfei Fang,et al.  ANALYTICAL CHARACTERIZATION OF SPACE INFLATABLE STRUCTURES --- AN OVERVIEW , 1999 .

[46]  Daniel J. Inman,et al.  Gossamer Spacecraft: Recent Trends in Design, Analysis, Experimentation, and Control , 2006 .

[47]  John M. Vance,et al.  Experimental Evaluation of a Metal Mesh Bearing Damper , 2000 .

[48]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[49]  Bong Wie,et al.  Robust non-minimum-phase compensation for a class of uncertain dynamical systems , 1991 .

[50]  Pavel Trivailo,et al.  Decentralized vibration control of a multi-link flexible robotic manipulator using smart piezoelectric transducers , 2014 .

[51]  Bong Wie,et al.  New generalized structural filtering concept for active vibration control synthesis , 1989 .

[52]  J. L. Fanson,et al.  Positive position feedback control for large space structures , 1990 .

[53]  David Murphy,et al.  AOCS Performance and Stability Validation for Large Flexible Solar Sail Spacecraft , 2005 .

[54]  Colin R. McInnes,et al.  Technology requirements of exploration beyond Neptune by solar sail propulsion , 2010 .

[55]  J. L. Chodas,et al.  Design of the Galileo scan platform control , 1984 .

[56]  R. H. Cannon,et al.  Experiments in control of flexible structures with noncolocated sensors and actuators , 1984 .

[57]  Edward E Montgomery,et al.  THE DEVELOPMENT OF SOLAR SAIL PROPULSION FOR NASA SCIENCE MISSIONS TO THE INNER SOLAR SYSTEM , 2004 .

[58]  James K. Mills,et al.  A Convex Approach Solving Simultaneous Mechanical Structure and Control System Design Problems With Multiple Closed-loop Performance Specifications , 2005 .

[59]  Frank Bauer,et al.  Classical and robust H(infinity) control redesign for the Hubble Space Telescope , 1992 .

[60]  Y. Ohkami,et al.  Appendage modal coordinate truncation criteria in hybrid coordinate dynamic analysis. [for spacecraft attitude control , 1976 .

[61]  R. Y. Chiang,et al.  H-infinity synthesis using a bilinear pole shifting transform , 1992 .