New Consistency Condition for Exponential Stabilization of Smapled-data Nonlinear Systems

Exponential stability of smapled-data nonlinear systems is investigated via the systems' Euler approximations. New consistency condition and its sufficient conditions are presented. Under the consistency condition the exponential stable controllers for Euler approximations also exponentially st...

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Bibliographic Details
Main Authors: Jin Huiyu, Yin Baoqun
Format: Conference Proceeding
Language:English
Subjects:
Adaptive control
Automatic control
Automation
Consistency condition
Control systems
Digital control
Euler approximation
Exponential stability
Nonlinear
Nonlinear control systems
Nonlinear systems
Sampling methods
Smapled-data systems
Stability
Sufficient conditions
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Summary:Exponential stability of smapled-data nonlinear systems is investigated via the systems' Euler approximations. New consistency condition and its sufficient conditions are presented. Under the consistency condition the exponential stable controllers for Euler approximations also exponentially stabilize the exact discrete-time models. These conditions may be verified with the continuous-time models, the control laws and the Euler approximations of the systems so that the sampled-data controllers could be designed based on the Euler approximations of the systems while the exact discrete-time models are unknown.
ISSN:1934-1768
DOI:10.1109/CHICC.2006.4347518