The finite-time stabilization problem is considered for a class of multi-input multi-output nonlinear systems composed of several different subsystems that are coupled with unknown nonlinearities, possibly superlinear and nonvanishing at the origin. A novel decentralized, continuous finite-time output-feedback control algorithm is presented by dynamically compensating the unknown nonlinear couplings and applying a saturation technique. A crucial strategy is to estimate the uncertain nonlinearities and the unmeasured state by means of a finite-time extended state observer. The effectiveness of the proposed decentralized finite-time output-feedback design is validated by rigorous mathematical analysis and numerical simulations.  

　　Publication:  

　　SIAM Journal on Control and Optimization, Volume 61, Issue 4 (2023)  

　　http://dx.doi.org/10.1137/22M1496086  

　　Author:  

　　Zhi-Liang Zhao  

　　School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, People’s Republic of China.  

　　Ruonan Yuan  

　　School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, People’s Republic of China.  

　　Bao-Zhu Guo  

　　Academy of Mathematics and Systems Science, Academia Sinica, Beijing 100190, People’s Republic of China.  

　　Email: bzguo@iss.ac.cn  

　　Zhong-ping Jiang  

　　Department of Electrical and Computer Engineering, Tandon School of Engineering, New York University, New York, NY 11201 USA.