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Output feedback sliding‐mode control with generalized sliding surface for civil structures under earthquake excitation
Author(s) -
Matheu E. E.,
Singh M. P.,
Beattie C.
Publication year - 1998
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/(sici)1096-9845(199803)27:3<259::aid-eqe729>3.0.co;2-v
Subject(s) - control theory (sociology) , sliding mode control , bounding overwatch , controller (irrigation) , redundancy (engineering) , engineering , output feedback , mode (computer interface) , control engineering , state observer , computer science , control (management) , nonlinear system , physics , quantum mechanics , artificial intelligence , agronomy , reliability engineering , biology , operating system
The paper presents a control scheme based on the sliding‐mode‐control approach. The analytical formulation focuses on the development of (1) a convenient, systematic and general scheme to achieve the so‐called regular form of the equations of motion required to uncouple the control actions from the sliding motion description, (2) a systematic treatment of control redundancy where the number of sliding constraints imposed are less than the number of independent control actions, and (3) a method to improve sliding surface design by incorporating auxiliary dynamic systems. Both full‐state‐feedback and output‐feedback cases are considered. In the output‐feedback formulation, a generalized procedure is developed so that arbitrary combinations of unavailable system states (unmeasured displacements or velocities, for example) need not participate in the design of the sliding surface or the controller. A controller design utilizing only bounding information on the intensity of ground motion and the unmeasured states is proposed. The analytical formulation developed herein is applied to a 10‐storey building structure to obtain the numerical results. The advantages of introducing auxiliary systems in the design of the sliding surface and the corresponding controller are noted. The results for both full‐state‐feedback and output‐feedback cases are presented and compared to demonstrate applicability of the proposed control scheme. © 1998 John Wiley & Sons, Ltd.