研究会 (2011 年 09 月 30 日)

マイマクロ調和ダイナミクス設計論研究会, SICE 九州支部 制御理論と応用に関する研究会 協賛
日時: 09/30(金) 13:30〜18:00

場所: 九州工業大学天神サテライトキャンパス kyutech プラザ
http://www.ims.co.jp/hall/detail/?shopNo=041
http://www.kyutech.ac.jp/information/satellite_campus/index.html

講演1: The role of monotonicity for the stability of interconnected 
       nonlinear systems
       (Dr. Bjoern Rueffer, University of Paderborn, Germany; 13:30〜15:00)
       (ビヨン リュッフェル, パダーボルン大学)

講演2: Multi-objective decision-making problems for discrete-time stochastic systems with state- and disturbance-dependent noise (Dr. Hiroaki Mukaidani, Hiroshima University; 15:15〜16:30) (向谷 博明, 広島大学)
講演3: First-ever solution to the problem of integral input-to-state stability of time delay networks (Dr. Hiroshi Ito, Kyushu Institute of Technology; 16:40〜17:40) (伊藤 博, 九州工業大学)
懇親会: 福岡市中央区天神近辺 (18:00〜)
参加者: Bjoern Rueffer, 向谷(広島大), 西村(山口大), 松尾(大分大) 和田, 甲斐(以上九大), 伊藤(九工大) (以上敬称略) 問合わせ先: 伊藤博 http://palm.ces.kyutech.ac.jp/~hiroshi


Abstract:

1. Interconnections of multiple nonlinear systems in fixed graph 
   structures appear in timely areas like formation control, 
   irrigation networks, or distributed model predicted control. 
   Recently, a number of tools to asses stability of such 
   interconnected systems has been developed in the literature. 
   This talk will review so-called small-gain and comparison 
   principle approaches to the stability problem and show how the 
   theory of monotone systems provides interesting insights into the 
   quantitative behavior of the resulting composite system.

 Speaker's biographcal sketch: 

   Bjoern Rueffer (ビヨン リュッフェル) has eceived a PhD degree in 
   the area of mathematical systems theory at the Center for Applied 
   and Industrial Mathematics (ZeTeM) within the Department of 
   Mathematics and Computer Science at the University of Bremen, 
   Germany. From October 2007 to June 2009 he has been a member of 
   the Signal Processing Microelectronics (SPM) group and the School 
   of Electrical Engineering and Computer Science at the University 
   of Newcastle, Australia. From July 2009 to January 2011 he has 
   been a Research Fellow within the Department of Electrical and 
   Electronic Engineering at the University of Melbourne, Australia. 
   In early 2010 he has undertaken a three months research fellowship 
   at the Kyushu Institute of Technology, Japan, under the auspices 
   of the Japan Society for the Promotion of Science (JSPS). Since 
   February 2011 he is an "Akademischer Rat auf Zeit" within the 
   Institute of Electrical Engineering at the University of 
   Paderborn, Germany. Currently, he serves as an associated editor 
   for the journal Systems & Control Letters. 

    http://homepages.uni-paderborn.de/rueffer/

2. In this paper, we consider three types of infinite-horizon 
   multi-objective decision-making problems for a class of 
   discrete-time linear stochastic systems with state- and 
   disturbance-dependent noise. First, H_2/H_infinity control problem 
   with multiple decision makers is considered. Second, in order to 
   improve the transient response, the linear quadratic control under 
   the Pareto solution is investigated. Finally, the soft-constrained 
   stochastic Nash games are formulated in which robustness is 
   attained against disturbance input. The decision strategies for 
   the three types of problem are derived. It is found that the 
   conditions for the existences of these strategies are related to 
   the solutions of cross-coupled stochastic algebraic Riccati 
   equations (CSAREs). We develop some new algorithms based on linear 
   matrix inequality (LMI) to solve the CSAREs. Numerical example is 
   provided to verify the efficiency of the proposed decision 
   strategies.

3. Module-based methods are widely used in diverse areas of science 
   to analyze and build large-scale and complex systems. The distinct 
   advantage of the module approaches to analysis and design is that 
   we can deduce the overall behavior of complex systems from 
   independent observations of simple modules decoupled to each other. 
   Its superiority to intensive simulation and numerical approximation 
   is that the module approaches can provide us with qualitative 
   information as well as quantitative information, which is quite 
   useful for the purpose of design and understanding the complex 
   systems. In this talk, we pursue such a philosophy for networks of 
   nonlinear time-delay dynamical systems by making use of the notion 
   of integral input-to-state stability (iISS). We allow time-delays 
   to reside in both subsystems and interconnection channels, and the 
   time-delays may be both discrete and distributed. No assumption is 
   made on the interconnection topology of the network. This talk 
   presents the first solution to the challenging problem and shows 
   how to construct Lyapunov-Krasovskii functionals establishing the 
   stability of iISS time-delay networks. 


Last modified: Wed Oct 5 11:43:41 JST 2011