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Modified sliding‐mode bang–bang control for seismically excited linear structures
Author(s) -
Cai Guoping,
Huang Jinzhi,
Sun Feng,
Wang Chao
Publication year - 2000
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/1096-9845(200011)29:11<1647::aid-eqe981>3.0.co;2-4
Subject(s) - bang–bang control , sliding mode control , robustness (evolution) , control theory (sociology) , actuator , engineering , variable structure control , computation , big bang (financial markets) , mode (computer interface) , control (management) , optimal control , computer science , physics , nonlinear system , mathematics , chemistry , algorithm , artificial intelligence , operating system , mathematical optimization , biochemistry , quantum mechanics , electrical engineering , gene , finance , economics
Recently, sliding‐mode control (SMC) methods have been investigated for application to seismically excited civil engineering structures and have proved to be effective control strategic methods. On the other hand, although another class of well‐known optimal control laws, the so‐called ‘bang–bang’ control, has been investigated for several decades, their potential in civil engineering structural control has not been fully exploited. The purpose of this paper is to present a new control law for civil engineering structures, which is the sliding‐mode bang–bang control (SMBBC). The SMBBC method is a combination of the SMC and the bang–bang control. In consideration of actuators not suitable for high‐speed switching of control forces in the SMBBC in practice, modified sliding‐mode bang–bang control (MSMBBC) law is proposed and demonstrated to be able to provide the same control effects as the SMBBC case. Condition modified sliding‐mode bang–bang control (CMSMBBC) law is also investigated in this paper. In the CMSMBBC case, actuators act only when response quantities exceed some designated threshold values. The determination method of maximum control‐forces for actuators is investigated through example computation. The performance and robustness of the proposed control methods are all demonstrated by numerical simulation. Simulation results demonstrate that the presented methods are viable and an attractive control strategy for application to seismically excited linear structures. Copyright © 2000 John Wiley & Sons, Ltd.