【摘要】 利用Riccati不等式,给出了H∞保成本离散广义系统和H∞保成本控制的定义,设计状态反馈H∞保成本控制器,使得闭环系统不仅对于容许的参数不确性保持正则、稳定、因果,而且使相应的闭环系统的二次性能指标具有上界及给定的H∞性能γ.基于线性矩阵不等式(LMI)给出了H∞保成本控制器的表达式。最后用数值例子说明设计方法的有效性和可行性。更多还原

【Abstract】 Based on Riccati inequality approach,the definitions of H_∞ guaranteed cost system and H_∞ guaranteed cost control are presented.The design approach to a state feedback controller for the guaranteed cost is proposed.The close-loop system satisfies a given disturbance H_∞ performance γ,and provides a guaranteed cost and keeps regular,causal and stable for all admissible uncertainties.Under some conditions the H_∞ guaranteed cost controllers of the system can be obtained via LMI.Finally an example to demonstrate the feasibility and effectiveness of the result is given.更多还原