【摘要】 研究了考虑建筑结构动力特性具有不确定性的多目标鲁棒H2/H∞控制问题。在设计控制器的过程中,将模型参数(包括质量、刚度和阻尼)的不确定性引入到状态方程的摄动矩阵之中,使得闭环系统对所有允许的不确定性同时满足H∞干扰抑制和最优H2性能。基于线性矩阵不等式优化技术,推导得到了线性矩阵不等式组来求解相应的多目标优化问题,应用MATLAB的线性矩阵不等式工具箱设计了输出反馈控制器。最后对一3层结构进行了振动控制仿真分析,结果表明了所提方法的有效性和优越性。更多还原

【Abstract】 This paper deals with the robust H2/H∞ control problem for structure with dynamic characteristic uncertainties.In the process of designing the controller,uncertain parameters(including mass,stiffness and damping) of structures are introduced into perturbation matrix,meanwhile,both the H∞ disturbance suppression and the optimal H2 performances of the closed-loop control system are satisfied simultaneously for all allowable uncertainties.To solve the proposed multi-objective optimization problem,linear matrix inequalities(LMIs) are deduced based on the LMI optimization technology,and LMI toolbox of MATLAB is employed to obtain the output feedback controller.Results of vibration control analysis for a 3-story simplified structure show that the proposed method is efficient and superior.更多还原