Time‐delayed control design for active control of structures: principles and applications

In this paper we develop the principles of time-delayed control design for the active control of structures in which the presence of large time delays in the control loop may make it difficult for their effects to be easily eliminated and/or compensated. A control design strategy is proposed that is different from what has been generally accepted hereto; it calls for taking advantage of these large, inherent time delays in the control design. The presence of large time delays in the control loop requires that we understand the infinite dimensionality of the system and so we introduce the concept of non-system poles. This is first done within the framework of an SDOF system with time-delayed velocity feedback control. Several new results are presented dealing with stability and performance issues. These results include and extend those available to date. Having developed control design principles with an SDOF system as the underlying basis, these principles are then developed for multi-actuator, multiple time-delay control of MDOF systems. A numerical example of a building structure modeled as an MDOF system that is subjected to strong earthquake ground shaking is presented. The control design based on the underlying principles shows good stability characteristics and effective performance behavior. We demonstrate its application to a structure subjected to strong earthquake ground shaking, thereby showing its usefulness in hazard mitigation. Copyright © 2005 John Wiley & Sons, Ltd.

[1]  Mohammad Hosseini,et al.  Time delayed control of structural systems , 2003 .

[2]  Kazuhiko Yamada,et al.  SEISMIC RESPONSE OF CONTROLLED STRUCTURES WITH ACTIVE MASS DRIVER SYSTEM-1 , 1991 .

[3]  Y. Fujino,et al.  Instability due to time delay and its compensation in active control of structures , 1993 .

[4]  Billie F. Spencer,et al.  Structural Control Design in the Presence of Time Delays , 1992 .

[5]  Anil K. Agrawal,et al.  Compensation of time-delay for control of civil engineering structures , 2000 .

[6]  F. E. Udwadia,et al.  Time Delayed Control of Classically Damped Structures , 1996 .

[7]  Firdaus E. Udwadia,et al.  Effect of time delay on the control of a torsional bar , 2001 .

[8]  Firdaus E. Udwadia,et al.  Can time delays be useful in the control of structural systems , 2000 .

[9]  J. E. Marshall.  Extensions of O. J. Smith's method to digital and other systems , 1974 .

[10]  Mohamed Abdel-Rohman,et al.  Structural Control Considering Time Delay Effect , 1985 .

[11]  Mohammad Hosseini,et al.  Robust control of uncertain systems with time varying delays in control input , 1997, Proceedings of the 1997 American Control Conference (Cat. No.97CH36041).

[12]  L. Ahlfors.  Complex Analysis , 1979 .

[13]  Mohamed Abdel-Rohman,et al.  TIME-DELAY EFFECTS ON ACTIVELY DAMPED STRUCTURES , 1987 .

[14]  Firdaus E. Udwadia.  Noncollocated control of distributed-parameter nondispersive systems with tip inertias using time delays , 1992 .

[15]  Firdaus E. Udwadia.  Noncollocated point control of nondispersive distributed-parameter systems using time delays , 1991 .

[16]  Koji Ishii,et al.  Development of V-Shaped Hybrid Mass Damper and its Application to a High-Rise Building , 1994, J. Robotics Mechatronics.

[17]  S. Lang.  Complex Analysis , 1977 .

[18]  Anil K. Agrawal,et al.  Effect of fixed time delay on stability and performance of actively controlled civil engineering structures , 1997 .

[19]  F. Udwadia,et al.  Time delayed control of classically damped structural systems , 1994 .