期刊
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
卷 33, 期 11, 页码 6354-6370出版社
WILEY
DOI: 10.1002/rnc.6700
关键词
control Lyapunov functions; (integral) input-to-state stability; multistability
In this paper, the problem of robust stabilization of affine nonlinear multistable systems in the presence of exogenous disturbances is studied. The results are based on the theory of input-to-state stability (ISS) and integral input-to-state stability (iISS) for systems with multiple invariant sets. The concepts of ISS and iISS control Lyapunov functions (CLFs) and the small control property are extended within the multistability framework. The efficiency of the extended CLF framework in the multistable sense is demonstrated through a Duffing system and a noise-induced transition in a semiconductor-gas-discharge gap system.
In this paper, we study the problem of robust stabilization of affine nonlinear multistable systems in the presence of exogenous disturbances. The results are based on the theory of input-to-state stability (ISS) and integral input-to-state stability (iISS) for systems with multiple invariant sets. The notions of ISS and iISS control Lyapunov functions (CLFs) and the small control property are extended within the multistability framework. Such properties are also complemented by the concept of a weak iISS CLF and corresponding small control property. It is verified that the universal control formula can be applied to yield the ISS (iISS) property for the closed-loop system. The efficiency of the extended CLF framework in the multistable sense is illustrated for a Duffing system and in application to a noise-induced transition in a semiconductor-gas-discharge gap system.
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