Fault-tolerant control for a structural vibration system with multi-constraint

Application of modern control theory in field of engineering structure vibration is not strong mainly because few considerations of actual constraints are taken.According to structural dynamics theory,a state-space model containing input time-varying delay,actuator failure,parameter uncertain,etc.was established.The model parameters were appropriately dealt with to lower the conservation.A robust H∞ reliable active control algorithm for multi-constraint was also proposed based on both state feedback and LMI approaches.Finally,a building model with four degrees of freedom subjected to EI Centro earthquake wave was simulated and studied utilizing the algorithm,and the results showed that the proposed method is feasible and thus can be used to control vibration of engineering structures.