讲座信息

An Example of Balanced Truncation Method and Its Surprising Time Domain Performance

Sheng-Guo Wang and Ben Wang *
University of North Carolina – Charlotte, * IBM, USA
Presented by Professor Sheng-Guo Wang

 

时间:2008年7月14日(周一)14:00-15:00

地点:张江校区微电子楼369教室

Abstract:
This seminar presents an example of using the balanced truncation method (BTM) for a distributed RLC interconnect model reduction. The example shows a surprising result and some possible hidden phenomenon in model reduction methods.
We find that a high order BTM model has much worse performance than a low order BTM model, in view of the original model and their step responses in the time domain. This unexpected finding contradicts to our common expectation from the well-known approximation error upper bound results of the BTM in frequency domain.
It reveals a fact that though the high order system keeps more states than the low order system, the approximation error behavior in the time domain may be totally different from its counterpart in the frequency domain. In addition, the seminar also presents a closed form of the state space model for general evenly distributed RLC interconnect line circuits. The closed form has a very low computation complexity of O(1), which may be extended for use not only in circuits, but also in various complex systems with transmission lines, networks, or delay lines.
Since the BTM is a popular practical model reduction method in various areas, thus this example may bring some further insight thinking for development.

Brief Bio of Professor Sheng-Guo Wang:
He received the B.S. and M.S. in EE from the University of Science and Technology of China in 1967 and 1981, respectively, and the Ph.D. in ECE with specialty in systems and control from the University of Houston in 1994.
Currently, he is a Professor and a Graduate Faculty Member at University of North Carolina – Charlotte. His work background includes as a Visiting Professor at PVAMU, a British Council Visiting Scholar at the University of Strathclyde, UK; the University of Leicester, UK; the University of Houston; Southwest Jiaotong University, China; Chengdu Railway Bureau, China; and Tellabs, USA. He has published more than 90 papers. He has also frequently reviewed papers for more than 20 international journals and many major international conferences. He has been a PI for numerous research projects since 1974, with the funding more than $1M since 1996.
He is a recipient of various academic awards, e.g., National Science Conference Prize of China 1978, British Council Scholarship 1989, a Best Session Paper Presentation Award at 2001 American Control Conference.
He has served as session chairs/co-chairs and a program committee member for various international conferences many times, e.g., American Control Conference, IEEE CDC, IFAC World Congress, etc. He has also served as a Co-Guest Editor for a Special Issue of IJVICS. In addition, he has been an Organizer of an Invited Session, titled "Current Directions in Civil Infrastructure Protective Control", at the 2000 American Control Conference. Currently, he is an Associate Editor of the Journal of Dynamic Systems, Measurement and Control.
His current research interests include robust control, structural control, optimal control, complex systems, modeling, model reduction, numerical analysis, algorithms, networks, applications, etc. His membership includes IEEE, ASEE, ASME, Sigma Xi, and Tau Beta Pi. Also, he has been a member of Structural Control Committee since 2000. Currently, he is a Senior Member of IEEE since 1997.

 
 
 
 

 

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