Fuzzy sliding mode control with compensator for building structure

In this paper, based on the theory of sliding mode control and fuzzy logic control, a new fuzzy sliding mode controller with a fixed-order compensator (FSMC&C) has been presented for application to seismically excited building structures. The major advantages of this method over the conventional sliding mode control are as follows: (i) it make trade-offs between control efforts and specific response quantities of the structure through the use of linear quadratic optimal control theory, (ii) it provides systematic approach to design static output feedback controllers to facilitate practical implementations of control systems, and (iii) it can keep the chattering effect sufficiently low so that to ensure the system stable. Finally we give numerical simulations for MDOF (Multiple-Degree-of-Freedom) shear building model containing an active brace system; and the simulation results show preliminarily that the new control method is quite effective.