Ee. Matheu et al., OUTPUT-FEEDBACK SLIDING-MODE CONTROL WITH GENERALIZED SLIDING SURFACEFOR CIVIL STRUCTURES UNDER EARTHQUAKE EXCITATION, Earthquake engineering & structural dynamics, 27(3), 1998, pp. 259-282
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 contr
ol actions from the sliding motion description, (2) a systematic treat
ment of control redundancy where the number of sliding constraints imp
osed 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 ar
e considered. In the output-feedback formulation, a generalized proced
ure 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 analytica
l formulation developed herein is applied to a 10-storey building stru
cture to obtain the numerical results. The advantages of introducing a
uxiliary systems in the design of the sliding surface and the correspo
nding controller are noted. The results for both full-state-feedback a
nd output-feedback cases are presented and compared to demonstrate app
licability of the proposed control scheme. (C) 1998 John Wiley & Sons,
Ltd.