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Linear systems with bounded inputs: Global stabilization with eigenvalue placement
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DOI：10.1002/(SICI)1099-1239(199709)7:9<835::AID-RNC216>3.3.CO;2-G.png)
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摘要
En 中文
This work presents a technique for obtaining a bounded continuous feedback control function which stabilizes a linear system in a certain region. If the open-loop system has no eigenvalues with positive real part, the region of attraction of the resulting closed-loop system is all R-n, i.e., the feedback control isa global stabilizer; otherwise, the region contains an invariant ('cylindric-like') set where the controller does not saturate. The proposed control is a linear-like feedback control with state-dependent gains. The gains become implicitly defined in terms of a nonlinear scalar equation. The control function coincides in an ellipsoidal neighbourhood of the origin with a linear feedback law which is a solution of a linear quadratic regulator problem. This design allows eigenvalue placement in a specified region. (C) 1997 by John Wiley & Sons, Ltd.
Keyword:
linear systems
bounded inputs
implicit nonlinear feedback
global stabilization
