学院简介

深圳大学高等研究院是深圳大学于2014年成立的一个包含本科与研究生培养、侧重跨学科教学与学术研究的校内综合办学单位。作为深圳大学内部探索全面改革创新的学术特区,高等研究院与香港和海外著名高校合作,借鉴国内外研究型大学通行的管理模式,引进具有一流视野的资深教授和发展潜力的青年教师,营造与国际接轨的学术氛围和培养环境,开展卓越的教学、研究和管理工作。

新闻动态

高等研究院系列学术讲座一百四十一

发布时间:2022-01-04 | 浏览次数:

Identification and Control of Nonlinear Discrete-time Uncertain Systems

Speaker Dr. Zhaobo LIU

College of Computer Science and Software Engineering, Shenzhen University


About the Speaker

Dr. Liu received his B.S. degree in mathematics and applied mathematics from Peking University in 2015, and the Ph.D. degree in control theory from the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, in 2020. He is now a Postdoctoral Fellow in the College of Computer Science and Software Engineering of Shenzhen University.


Talk Introduction

The talk includes the self-tuning regulator problems of discrete-time nonlinear uncertain systems and the parameter identification of the general nonlinear autoregressive model. Firstly, for the scalar parameter case, we find that it is possible to stabilize a system growing exponential fast as long as the density of the regular set is not 0. Moreover, we establish a logarithmic law on the density of the regular set for scalar parameter systems to describe the feedback limitations. Specifically, for a typical family of functions, we obtain a new critical constant 2 to determine the stabilizability. Further, to study the multi-parameter case with self-tuning regulators, we establish the asymptotic theorem for the least-square algorithm of the general nonlinear autoregressive model and an appropriate excitation condition for the corresponding closed-loop system identification. Finally, we overcome the difficulties of verifying excitation conditions and deduce stabilizability theorems for two kinds of basic discrete-time multi-parameter uncertain systems..


时间:2022年1月5日下午2:30-3:30

地点:致知楼706会议室

All are welcome!