期刊
INTERNATIONAL JOURNAL OF VEHICLE DESIGN
卷 70, 期 2, 页码 137-156出版社
INDERSCIENCE ENTERPRISES LTD
DOI: 10.1504/IJVD.2016.074417
关键词
semi-active; Lyapunov stability; switched control; GUAS; global uniform asymptotic stability; suspension control
The goal of this paper is to present a formal stability analysis of several switched semi-active suspension controllers, either piecewise-linear or completely nonlinear, including the well-known classic Skyhook damping scheme. Although practitioners of semi-active control are familiar with design limitations, owing to the switching effect, these limitations are non-intuitive in general. According to switched systems theory, the stability of a switched control system is by definition not guaranteed, even in a case where all sub-states are independently asymptotically stable. Unconditional Lyapunov stability proofs for the most common piecewise-linear and nonlinear switched controllers are derived analytically, and supporting numerical Lyapunov function simulations are performed. Overall, the global uniform asymptotic stability (GUAS) of a variety of common semi-active switched controllers is proven, thereby validating their widespread practical implementation.
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