不确定广义系统状态反馈控制的完整性设计

State Feedback Control of Uncertain Generalized Systems Possessing Integrity

该文研究一类参数不确定广义系统具有完整性的状态反馈控制系统设计问题。目的是设计状态反馈控制律 ,使得广义闭环系统对所有允许的参数不确定性和任一状态传感器失效都正则 ,无脉冲且稳定。利用广义系统稳定性的有关结论 ,将不确定广义系统具有完整性的状态反馈设计问题转化为广义Riccati不等式的求解 。

In this paper, the design approach to state feedback control for the generalized systems with parameter uncertainty possessing integrity is studied. The aim is to derive robust state feedback control laws for such systems possessing integrity against arbitrary sensor failure. It is shown that the proposed control laws ensure that the closed loop system is regular, impulse free as well as stable for all admissible uncertainties and sensor failure.By using the stability results of generalized systems,the solution to the design problem of the desired controllers for such systems possessing integrity can be obtained by solving generalized Riccati inequality.A numerical example is given to show the effectiveness of the proposed approach.