Generalized optimal active control algorithm for seismic-resistant structures with active and hybrid control

The paper presents several optimal control algorithms including Riccati and instantaneous algorithms (ROAC and IOAC), generalized optimal control algo rithm (GOAC). along with slate control and state-slope control gain matrice s. The strength and weaknesses of these algorithms are assessed and illustr ated with numerical examples. It is concluded that GOAC is better than ROAC and IOAC in performance and that hybrid control is more effective in reduc ing structural response than active or passive devices only. Selection of s tate control or state-slope control gain matrix depends on the characterist ics of the passive device.