讲座地点：腾讯会议线上讲座（房间号：659-695-420）

讲座时间：2025年9月14日（周日）19：00-21：30

主讲专家：

（1）贾付金 安徽大学电气工程与自动化学院、副教授

（2）孔凡超 安徽师范大学数学与统计学院、副教授

（3）丁奎   安徽工程大学数理与金融学院、教授

主办部门：ok138太阳集团古天乐

欢迎广大师生参与本次讲座！请参加讲座人员于2025年9月14日18:50前进入线上会议室。

一、 讲座信息

1、非线性系统的无超调控制

非线性系统广泛存在于工业过程、航空航天和机器人等关键领域，其动态特性复杂，表现为不可测状态、建模不确定性和外部扰动等多种因素，导致传统线性控制方法往往难以达到理想的控制效果。超调作为控制系统动态响应中一个显著问题，不仅会增加执行机构的应力、导致能源浪费，还可能引发系统不稳定，因此在许多高精度和高安全性的应用场景中，实现无超调控制具有重要的实际意义。

目前，针对非线性系统无超调控制的研究主要集中于严格反馈系统，而对更为一般的纯反馈非线性系统的无超调控制研究仍相对缺乏。同时，现有方法多基于状态反馈，关于输出反馈情形下的非线性系统无超调控制研究尚存在明显不足。

针对上述问题，本报告首先围绕纯反馈系统开展研究，分析并建立无超调控制的实现条件；其次，针对一类状态不可测的非线性系统，基于输出反馈控制架构，探讨其无超调控制的条件及实现途径。

2、具有不可微时滞的菲利波夫系统：周期性、镇定和能量消耗估计

In this paper, a general Filippov system with non-differentiable and unbounded delays is studied, which is different from the previous delayed Filippov systems. Firstly, based on the differential inclusion theory and Kakutani's fixed point theorem, the periodicity of solutions is proved and sufficient criteria are derived. Secondly, fixed-time stabilization is studied by designing a new control law with a unified steepness exponent, which is more simpler than the previous ones with two steepness exponents. Since the delays are non-differentiable and unbounded, rather than constructing the Lyapunov-Krasovskii functions, by constructing a suitable Lyapunov function, the fixed-time stabilization is analyzed and estimation of the settling-time is given through analyzing the state variables inside and outside the unit spherical area. The energy consumption is also estimated when the fixed-time stabilization is achieved under the designed controller. Thirdly, given that smaller settling-time and lower energy consumption are usually preferred, the optimization problem is further considered. The optimal control parameters are selected based on the normalization approach and maximum principle. Finally, the validity of the theoretical results is demonstrated by a numerical example, where the delay function is composed of the Takagi function and absolute value function.

3、多源干扰下马尔科夫切换奇异系统的有限时间抗干扰控制

This talk is concerned with the finite time H_∞ composite anti-disturbance control problem for Markov switched descriptor systems with multiple disturbances and packet loss via a disturbance observer. Significantly, the switching topology of descriptor systems is controlled by nonhomogeneous Markov switching processes in this talk, whose time-varying transition probability is limited by a convex hull. Subsequently, a Bernoulli random variable is exploited to characterize the intermittent measurement mode behavior of controller-actuator packet loss in this talk. Furthermore, the stochastic H_∞ finite time boundness of the composite system and simultaneously suppression and rejection of external disturbances are established by resorting to disturbance observer-based robust control (DOBC) strategy and a new stochastic Lyapunov function technique shown in this talk. More importantly, a relaxed variable method is provided to eliminate the coupling between Lyapunov variables and the system matrix in the process of stability analysis, instead of eliminating the coupling by means of commonly-used traditional inequalities shown in this talk, which effectively increases the flexibility of the obtained stable results and greatly reduces the computational complexity of controller/observer in the existing works.

二、专家介绍

贾付金，博士，硕士生导师，就职于安徽大学电气工程与自动化学院，获得国家自然科学基金青年基金一项。主要从事非线性系统的无超调控制、全状态约束控制、预定时间控制和输出调节问题等研究方向。目前，发表高水平论文30余篇。

孔凡超，理学博士，统计学博士后，主要从事非连续系统稳定性和可控性及其应用的研究，在中国科学、IEEE Tans等研究领域主流SCI期刊上发表论文100余篇。2021年获安徽省青年数学奖，2023-2024年入选全球前2%顶尖科学家榜单。主持国家自然科学基金面上和青年项目、安徽省高校优秀青年科研项目等共六项。

丁奎，博士(后)、硕士生导师、副教授、校聘教授。2021年6月毕业于南京师范大学统计学专业，获理学博士学位。2021-2023年湖南师范大学统计学专业博士后。主要从事随机系统稳定与控制等相关领域研究。以第一作者在 《Automatica》、《IEEE Transactions on Automatic Control》、《IEEE Transactions on Neural Networks and Learning Systems》等权威期刊发表SCI论文20余篇。主持国家自然科学青年基金、中国博士后科学基金面上项目、安徽省和湖南省自然科学基金等省部级以上5项。现为中国自动化学会青年工作委员会委员、中国自动化学会环境感知与保护自动化专业委员会委员。