投稿日:2007/06/01投稿者:小野順貴
東京大学工学部計数工学科 システム情報談話会

日時:2007年6月12日(火) 15:00--16:30

場所:東京大学工学部6号館 3階セミナー室A (本郷キャンパス)
   (アクセス)

講演者:Pramod P. Khargonekar 教授 
       (Dean, College of Engineering, University of Florida) 

講演題目:Stabilization and Output Regulation of 
          Discrete-Time Switched Linear Systems

概要:
A switched system consists of a finite number of subsystems that 
are switched according to the time variation of the system\'s mode 
of operation. Such systems can be used to model complex hybrid 
systems, where continuous dynamics and discrete state transitions 
coexist and depend on each other, and arise in many different 
contexts such as nonlinear control, supervisory control, networked 
control, distributed networks, etc.  

This talk consists of two parts. In the first part, we present a 
generalization of some of the most important system theoretic 
concepts to switched systems under constrained switching. We show 
that a stabilizing controller has to depend not only on the current 
state and mode pair but also to a certain number of past modes. 
This shows the limitation of the usual mode-dependent control 
approaches, and necessitates the need for path-dependent notions 
of detectability and stabilizability. We present new results on a 
generalization of the duality concept, path-dependent detectability 
and stabilizability concepts, and a separation principle for 
path-dependent dynamic output feedback stabilization.

The second part of the talk presents the extension of the 
stabilization results to output regulation problems such as the 
minimization of the peak output variance and the infinite-horizon 
linear quadratic Gaussian control. These two output regulation 
problems are connected via a receding-horizon control type problem, 
where the zero horizon length leads to the former and the limit as 
the horizon length approaches infinity yields the latter. We present 
exact linear matrix inequality based conditions for the output 
regulation performance problem. We will also discuss exact linear 
matrix inequality based synthesis conditions for suboptimal 
controllers. Finally, we discuss the computational complexity for 
optimizing the performance.

This talk is based on joint work  with Dr. J.-W. Lee.

連絡先:  原 辰次    (shinji_hara@ipc.i.u-tokyo.ac.jp)
         小島千昭   (chiaki_kojima@ipc.i.u-tokyo.ac.jp)