Active control problems of seismic-excited civil structures have attracted considerable attention in recent years. In this study, a design procedure of the hedge algebra-based fuzzy controller (HAFC) is investigated for a class of high-rise building systems with active tendons, which are subjected to seismic activity. In the HAFC, semantics of linguistic terms is obtained through semantically quantifying mappings (SQMs) without using any fuzzy set. Hence, the design of a HAFC leads to determining parameters of SQMs, which are fuzziness measures of primary terms and linguistic hedges occurring in a fuzzy model. To prove the validity of the HAFC in the aforementioned problem, an earthquake-excited 10-floor building with two actuators is numerically simulated.

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In this paper, three controllers, including OFCHA (optimal fuzzy control using hedge algebras – HAs), FCHA (fuzzy control using HAs) and CFC (conventional fuzzy control) are designed. Attention is paid to the stability in the vertical position of a damped-elastic-jointed inverted pendulum subjected to a time-periodic follower force. The different values of the angular coefficient of the follower force are considered. Simulation results are exposed to illustrate the effect of OFCHA in comparison with FCHA and CFC.

The active control problem of seism-excited civil structures has attracted considerable attention in recent years. In this paper, conventional, hedge-algebras-based and optimal hedge-algebras-based fuzzy controllers, respectively denoted by HAFCs and OHAFCs, are designed to suppress vibrations of a structure against earthquake. The interested structure is a building modeled as a four-degrees-of-freedom structure system with one actuator, which is an active tendon, installed on the first floor. The structural system is simulated against the ground motion, acting on the base, of the El Centro earthquake ( Mw = 7.1) in the USA on 18 May 1940. The control effects of FC, HAFC and OHAFC are compared via the time history of the floor displacements and velocities, control error and control force of the structure.

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