### Adaptive Stabilization for a Class of Feedforward Systems with Zero-Dynamics

SHANG Fang1 , LIU Yungang2 , ZHANG Guiqing3

1. 1.School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, China; Shandong Provincial Key Laboratory of Intelligent Buildings Technology, Jinan 250101, China.; 2.School of Control Science and Engineering, Shandong University, Jinan 250061, China.; School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan 250101, China; Shandong Provincial Key Laboratory of Intelligent Buildings Technology, Jinan 250101, China.
• Online:2015-04-25 Published:2015-03-10

SHANG Fang,LIU Yungang,ZHANG Guiqing. Adaptive Stabilization for a Class of Feedforward Systems with Zero-Dynamics[J]. Journal of Systems Science and Complexity, 2015, 28(2): 305-315.

This paper investigates adaptive state feedback stabilization for a class of feedforward nonlinear systems with zero-dynamics, unknown linear growth rate and control coefficient. For design convenience, the state transformation is first introduced and the new system is obtained. Then, the estimation law is constructed for the unknown control coefficient, and the state feedback controller is proposed with a gain updated on-line. By appropriate choice of the estimation law for the control coefficient and the dynamic gain, the states of the closed-loop system are globally bounded, and the state of the original system converges to zero. Finally, a simulation example is given to illustrate the correctness of the theoretical results.

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