On semi-global stabilizability of anti-stable systems by saturated linear feedback
Tóm tắt
It was recently established that a second-order anti-stable linear system can be semi-globally stabilized on its null controllable region by saturated linear feedback and a higher order linear system with two or more anti-stable poles can be semi-globally stabilized on its null controllable region by more general bounded feedback laws. We will show in this paper that a system with three real-valued anti-stable poles cannot be semi-globally stabilized on its null controllable region by the simple saturated linear feedback.
Từ khóa
#Control systems #Linear systems #Linear feedback control systems #Hydraulic actuators #State-space methods #Negative feedback #Riccati equations #State feedback #Asymptotic stability #HistoryTài liệu tham khảo
10.1002/rnc.4590050504
10.1002/(SICI)1099-1239(199709)7:9<835::AID-RNC216>3.3.CO;2-G
10.1016/0167-6911(92)90001-9
10.1109/9.928610
10.1007/978-1-4612-0205-9
10.1080/00207176908905846
10.1109/CDC.1991.261255
10.1016/0167-6911(93)90033-3
lin, 1998, Low Gain Feedback, 240
10.1016/S0167-6911(01)00098-6
10.1109/TAC.2002.800671
10.1109/9.362853
megretski, 1996, L2 BIBO output feedback stabilization with saturated control, 13th IFAC World Congress, d, 435