Abstract
This paper presents a brief description of the software toolbox, linear systems toolkit, developed in Matlab environment. The toolkit contains 66 m-functions, including structural decompositions of linear autonomous systems, unforced/unsensed systems, proper systems, and singular systems, along with their applications to system factorizations, sensor/actuator selection, H-two and H-infinity control, and disturbance decoupling problems.
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References
B. Chen, Z. Lin, Y. Shamash. Linear Systems Theory; A Structural Decomposition Approach [M]. Birkhauser, Boston, 2004.
Z. Lin, B. Chen, X. Liu. Linear Systems Toolkit [R] // Technical Report, Department of Electrical and Computer Engineering, University of Virginia, 2004.
B. Chen. Software Manual for the Special Coordinate Basis of Multivariable Linear Systems [R] // Washington State University Technical Report. No. ECE 0094, Pullman, Washington, 1988.
Z. Lin. The Implementation of Special Coordinate Basis for Linear Multivariable Systems in MATLAB [R]// Washington State University Technical Report, No. ECE0100, Pullman, Washington, 1989.
D. Chu, X. Liu, R. C. E. Tan. On the numerical computation of a structural decomposition in systems and control [J]. IEEE Trans. on Automatic Control, 2002,47(11): 1786–1799.
P. Sannuti, A. Saberi. A special coordinate basis of multivariable linear systems-finite and infinite zero structure, squaring down and decoupling [J]. Int. J. of Control, 1987,45(5): 1655–1704.
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Xinmin LIU received the bachelor degree of Engineering degree from Beijing Institute of Light Industry in 1989, and master degree of Engineering degrees from Xiamen University and National University of Singapore respectively in 1998 and 2000. He is now pursuing his Ph. D. degree in the Department of Electrical and Computer Engineering at University of Virginia. His current research interest is in nonlinear systems. Email:xl8y@virginia.edu.
Ben M. CHEN was born in Fuqing, Fujian, China, on November 25, 1963. He received his B. S. degree in mathematics and computer science from Xiamen University, Xiamen, China, in 1983, M.S. degree in electrical engineering from Gonzaga University, Spokane, Washington, USA, in 1988, and PhD degree in electrical&computer engineering from Washington State University, Pullman, Washington, USA, in 1991.
He was a software engineer in South-China Computer Corporation, Guangzhou, China, from 1983 to 1986. From 1991 to 1992, he was a postdoctoral associate at Washington State University, and was an assistant professor from 1992 to 1993 in the Department of Electrical Engineering, the State University of New York, Stony Brook, New York, USA. Since 1993, he has been with the Department of Electrical and Computer Engineering, the National University of Singapore, where he is currently a professor. His current research interests are in robust control, systems theory, control applications, and development of internet-based laboratories.
Dr Chen has published over 70 internationally refereed journal papers and book chapters, and over 100 articles in international conferences. He is also the author/co-author of 7 monographs, Linear Systems Theory: A Structural Decomposition Approach (Boston: Birkhauser, 2004), Creating Web-Based Laboratories (New York: Springer, 2004), Hard Disk Drive Servo Systems (New York: Springer, 2002), Robust and H∞, Control (New York: Springer, 2000) ,H∞ Control and Its Applications (London: Springer, 1998), H2 Optimal Control (London: Prentice Hall, 1995), and Loop Transfer Recovery: Analysis and Design (London: Springer, 1993) .
He was an associate editor for IEEE Transactions on Automatic Control (1999–2001) , an associate editor for Asian Journal of Control (2002) , and a guest co-editor for the Transactions of South African Institute of Electrical Engineers (2002). He is currently serving as an associate editor of the International Journal, Control and Intelligent Systems (2002 -), a member of international advisory board of Kuwait Journal of Science&Engineering (2003 -) , an associate editor of System s& Control Letters (2004 -) , and an associate editor of Automatica (2005 -).
Dr Chen was the recipient of the Best Poster Paper Award at the 2nd Asian Control Conference, Seoul, Korea (1997); Asian Young Scholars Award, University of Melbourne, Australia (1997); University Researcher Award, National University of Singapore (2000) ; Prestigious Engineering Achievement Award, Institution of Engineers, Singapore (2001); Temasek Young Investigator Award, Defense Science&Technology Agency, Singapore (2003 ); Best Industrial Control Application Prize, 5th Asian Control Conference, Melbourne, Australia (2004). Email:bmchen@nus.edu.sg.
Zongli LIN received his B.S. degree in mathematics and computer science from Xiamen University, Xiamen, China, in 1983, his Master of Engineering degree in automatic control from Chinese Academy of Space Technology, Beijing, China, in 1989, and his Ph.D. degree in electrical and computer engineering from Washington State University, Pullman, Washington, in 1994.
Dr. Lin is currently a professor with the Charles L. Brown Department of Electrical and Computer Engineering at University of Virginia. Previously, he has worked as a control engineer at Chinese Academy of Space Technology and as an assistant professor with the Department of Applied Mathematics and Statistics at State University of New York at Stony Brook.
His current research interests include nonlinear control, robust control, and modeling and control of magnetic bearing systems. In these areas he has published several papers. He is also the author of the book, Low Gain Feedback (Springer-Verlag, London, 1998), a co-author (with Tingshu Hu) of the book Control Systems with Actuator Saturation: Analysis and Design (Birkhauser, Boston, 2001) and a co-author (with B. M. Chen and Y. Shamash) of the recent book Linear Systems Theory: A Structural Decomposition Approach (Birkhauser, Boston, 2004) . For his work on control systems with actuator saturation, he received a US Office of Naval Research Young Investigator Award in 1999.
Dr. Lin served as an Associate Editor of IEEE Transactions on Automatic Control from 2001 to 2003 and is currently an Associate Editor of Automatica and the Corresponding Editor for Conference Activities of IEEE Control Systems Magazine. He is a member of the IEEE Control Systems Society’s Technical Committee on Nonlinear Systems and Control and heads its Working Group on Control with Constraints.Email:zl5y@virginia.edu.
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Liu, X., Chen, B.M. & Lin, Z. Linear systems toolkit in Matlab: structural decompositions and their applications. J. Control Theory Appl. 3, 287–294 (2005). https://doi.org/10.1007/s11768-005-0051-0
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DOI: https://doi.org/10.1007/s11768-005-0051-0