New Optimal Control Algorithms for Structural Control

A critical review of classical optimal control algorithms is made with respect to the specific application of structural control under seismic excitations. With the earthquake ground acceleration being the major source of continuous external disturbances, the Riccati closed‐loop control does not satisfy the optimal condition. New optimal control algorithms are proposed herein, including the instantaneous optimal open‐loop control, instantaneous optimal closed‐loop control, and instantaneous optimal closed‐open‐loop control. These new control laws are developed for providing feasible control algorithms that can easily be implemented for applications to seismic‐excited structures. Numerical examples are worked out to demonstrate the control efficiency of the proposed control algorithms. Experimental verifications have been carried out.