Backstepping Control Based on the Dynamic Equilibrium State Theory for Strict-Feedback Nonlinear Systems

Abstract:

A novel control approach is introduced for strict-feedback nonlinear systems based on the dynamic equilibrium state theory. First, the basic idea of the dynamic equilibrium state theory is presented. The dynamic equilibrium state is not the origin or the constant, but means change under the effect of input for non-free systems. Then, the method of steady state control is combined with backstepping technology, realizing the feedback linearization and stability step by step and guaranteeing uniform ultimate boundedness of all signals in the closed-loop system. The proposed approach has much simpler expression and is easy to understand. Finally, two simulation examples are used to demonstrate the effectiveness of the proposed scheme.

• Periodical: Applied Mechanics and Materials (Volumes 143-144)
• Pages: 360-365
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.143-144.360
• Online since: December 2011
• Authors: De Hui Qiu, Qing Lin Wang, Jie Yang
• Keywords: Backstepping, Dynamic Equilibrium State, Input, Strict-Feedback Nonlinear Systems

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