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September  2020, 10(3): 381-389. doi: 10.3934/naco.2020009

## Passive control for a class of Nonlinear systems by using the technique of Adding a power integrator

 1 School of Mathematics, Liaoning University, Shenyang, 110036, China 2 College of Science, Liaoning Shihua University, Fushun, 113001, China

* Corresponding author: Li Yang

Received  May 2019 Revised  October 2019 Published  February 2020

Fund Project: This work is supported by the scientific research fund LQN201712 of Liaoning Provincial Education Department

This paper studies the problem of passive control for a class of uncertain nonlinear lower-triangle systems. We extend the feedback designing tool named adding a power integrator. By using it repeatedly, the passive controller is given. Under this designing method, we don't need the system to be feedback linearizable. Moreover, comparing with the backstepping technique, the coordinate in the controller designing process of this method does not need to be transformed.

Citation: Jinglai Qiao, Li Yang, Jiawei Yao. Passive control for a class of Nonlinear systems by using the technique of Adding a power integrator. Numerical Algebra, Control & Optimization, 2020, 10 (3) : 381-389. doi: 10.3934/naco.2020009
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