Nonlinear SDOF structural control by minimal control synthesis without reference model

Koichi Kajiwara, Ryuta Enokida, Masayoshi Nakashima

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


Many control techniques are used for shaking table tests to reproduce the target wave on the table. These controllers are basically designed in frequency domain by referencing a transfer function of a system to be controlled and the controllers are greatly influenced by the linearity of the system. If the system has a severe nonlinearity, these controllers have difficulty following the nonlinearity and the accuracy of the control decrease largely. To control the systems having severe nonlinearities accurately, control methods in the time domain may be more adequate than conventional methods in the frequency domain. This paper proposes a nonlinear control method in the time domain improving Minimal Control Synthesis (MCS) and it does not need any transfer functions or dynamic properties of plant to construct the controller, although original MCS is based on the reference model of the system to be controlled. In this paper, the efficiency of the proposed method is verified numerically and experimentally comparing with the conventional method such as H∞ method.

Original languageEnglish
Pages (from-to)1863-1872
Number of pages10
JournalJournal of Structural and Construction Engineering
Issue number682
Publication statusPublished - 2012 Dec


  • Adaptive control
  • H∞
  • Input identification
  • MCS
  • Nonlinear control
  • Shaking table test


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