时 间：2016年6月28日 上午10点15分
地 点：图书馆报告厅
主 题：Sliding Mode Control of Switched Stochastic Systems
报告人简介：
吴立刚，1977年生，2006年在哈尔滨工业大学控制理论与控制工程专业博士学位。曾在英国帝国理工学院、香港大学、香港城市大学做访问学者，2008年通过“百人计划海外引进人才”入职哈尔滨工业大学，目前为航天学院二级教授、博士生导师。
吴立刚教授主要从事复杂不确定动态系统的控制与信号处理研究。目前发表论文被SCI收录120余篇；SCI他引4000余次；出版英文专著6部。国家杰出青年科学基金获得者、首批国家优秀青年科学基金获得者、黑龙江省杰出青年科学基金获得者；入选汤森路透全球高被引科学家、中组部青年拔尖人才支持计划、教育部新世纪优秀人才支持计划；获中国青年五四奖章、全国优秀博士学位论文提名奖等奖励和荣誉。作为第一完成人获黑龙江省自然科学一等奖，作为第二完成人获国家自然科学二等奖。目前担任《IEEE自动控制汇刊》、《IEEE机械电子汇刊》等9个国际SCI期刊编委，还担任《自动化学报》、《控制理论与应用》等国内一级期刊编委。IEEE高级会员、中国自动化学会控制理论专业委员会委员。
报告内容简介：
Thistalk is concerned withsliding mode controlproblem for both continuous- and discrete-time switchedstochastic hybrid systems. Firstly, by designing integral-type sliding surfacefunctions, we obtain the sliding mode dynamics for continuous- and discrete-timecases, respectively, which are switched stochastic hybrid system with thesame order as the original systems. Then, by utilizing the average dwell timeapproach combining with the piecewise Lyapunov function technique, sufficientconditions for the existence of the sliding mode are proposed in terms ofLMIs for continuous- and discrete-time cases, and the explicit parametrizationfor the desired sliding surface functions are also given, respectively. Followingthese results, sliding mode controllers for reaching motion are synthesizedsuch that the state trajectories of the closed-loop systems can be drivenonto the prescribed sliding surfaces and maintained there for all subsequenttimes. Moreover, for the discrete-time system case, we consider the disturbanceattenuation performance (that is, H∞ performance) in the analysis ofsliding mode dynamics, this is because that there are often some externaldisturbances involved in practical systems (for example, if the disturbancedoes not satisfy the so-called matching condition, it cannot be eliminated inthe reaching motion phase), which constitute a source of instability or of performancedegradation. Finally, a numerical example is provided to illustratethe effectiveness of the proposed SMC design scheme.
