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Time‐delay control of structures
Author(s) -
Chung L. L.,
Lin C. C.,
Lu K. H.
Publication year - 1995
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/eqe.4290240506
Subject(s) - control theory (sociology) , stability (learning theory) , control (management) , constant (computer programming) , control system , computer science , optimal control , state (computer science) , mathematics , engineering , algorithm , mathematical optimization , machine learning , artificial intelligence , electrical engineering , programming language
Abstract Time‐delay causes unsynchronized application of the control forces which may not only degrade the performance of the control system but also even induce instability to the dynamic system. Time‐delay control algorithm is developed in this paper to solve this practical problem. The control system is first formulated in discrete‐time form. In the presence of time‐delay, the motion equation of the discrete‐time control system remains a difference equation which can be transformed into first‐order difference equation by augmenting the state variables. Optimal time‐delay control algorithm is derived based on the augmented system. The time‐delay control forces are simply generated from the time‐delay states multiplied by the constant feedback gain. Numerical simulation is illustrated to verify the feasibility of the proposed control algorithm. Since time‐delay effect is incorporated in the mathematical model for the structural control system throughout the derivation of the proposed algorithm, system performance and dynamic stability are guaranteed.