Dynamic surface control via singular perturbation analysis
نویسندگان
چکیده
This note contributes to the technical nature of dynamic surface control (DSC) based on a class of strict-feedback nonlinear systems. The DSC technique prevents the complexity problem in integrator backstepping control (IBC). Yet, the stability results obtained by existing DSCs are conservative, and consequently, cannot fully reveal the technical nature of DSC. By the exploitation of the singular perturbation theory, several novel features of DSC are revealed as follows: (1) semiglobal practical exponential stability can be guaranteed only by a suitably small filter parameter; (2) steady-state tracking accuracy does not rely on high control gains; (3) the performance of IBC can be recovered via the decrease of the filter parameter. These features are not only significant for understanding the technical nature of DSC, but also useful for establishing an efficient strategy of parameter selection and system debugging. Simulation results have verified correctness of the theoretical result. © 2015 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Automatica
دوره 57 شماره
صفحات -
تاریخ انتشار 2015