Decentralized Control of Tall Shear Building Structures against the sensor faults under the uncertain earthquake excitatins

This work uses the H_∞ static output-feedback controller with linear matrix inequality (LMI) theory and some variations in LMI variables for retrofitting the shear structures against a variety of uncertainties as well as the dynamic forces of the earthquake and wind. To prevent the system from losing control due to the failure of the central controller, preventing the large amount of data transfer between sensors and controller, as well as economic issues, the discussion of the replacement of a centralized control with decentralized control in various types, including fully decentralized controller, partial coupled and uncoupled decentralized controllers is studied. Then the robustness of the method is evaluated both in centralized control and in decentralized control against dynamic forces such as earthquakes, uncertainty in earthquake excitations and failure of sensors, and are compared with each other. Finally, the responses obtained from the control algorithm used are compared with the results of the linear quadratic regulator control (LQR). Two numerical examples are solved for this assessment. A 5-story shear building structure and a 20-story bench mark structure. Based on the results, the algorithm is completely resistant to the failure of the sensors, as well as decentralized controllers have very close results to the central controller. The uncertainty of earthquake provokes changes in responses, but the controlled responses are significantly less than uncontrolled responses. It should be noted that the method used reduces the responses considerably less than the LQR control method.