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）
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
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)