Semi-active optimal control of linearized systems with multi-degree of freedom and application

A semi-active optimal control method for non-linear multi-degree-of-freedom and its application was presented. The control method, based on the dynamical programming principle, statistical linearization method and variational principle, applied to a tall building structure with magnetorheological-tuned liquid column damper (MR-TLCD) for random wind response reduction. The developed control method was simple, effective and has a classical explicit solution of control law to the dynamical programming equation. The results show that the more random response reduction can be achieved by using the developed control method.