摘要
讨论线性不确定系统的鲁棒可靠 H∞ 控制问题。对于执行器和传感器同时失误的情况 ,基于线性矩阵不等式方法 ,给出了经估计状态反馈可靠 H∞ 控制的设计方案。采用该方案设计的可靠控制系统 ,不仅在系统运行良好的条件下 ,而且在系统的传感器和执行器元件均出现失误的情况下 ,仍能确保系统内部状态的稳定性 ,并同时满足给定的 H∞ 性能指标。最后 ,以一个数值例子说明了所给出结论的有效性。
The reliable H∞ control design problem for linear uncertain systems in dealt with using observer-based output feedback. A reliable control design scheme is proposed for the case of a simultaneous presence of actuator failures and sensor failures. An approach of linear matrix inequalities (LMIs) is developed to solve the problem addressed. Based on this approach, observer-based feedback control laws are designed that guarantee closed-loop asymptotic stability and reduction of the effect of an augmented disturbance input on the controlled output of a prescribed level, not only when the system is operating properly, but also under actuator and sensor failures. A numerical example is presented to demonstrate the applicability and effectiveness of the proposed approaches.
出处
《控制与决策》
EI
CSCD
北大核心
2003年第2期145-149,共5页
Control and Decision
基金
国家自然科学基金资助项目 (79970 114 )
关键词
可靠控制
观测器
线性矩阵不等式
执行器失误
传感器失误
Actuators
Feedback control
Linear systems
Mathematical models
Matrix algebra
Robustness (control systems)
Sensors
System stability
Theorem proving
