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Transactions: WSEAS TRANSACTIONS ON SYSTEMS
Transactions ID Number: 52-481
Full Name: Chingyei Chung
Position: Professor
Age: ON
Sex: Male
Address: No. 1, Hsin Hsin Rd., Dept. of Electronics Eng., MING HSIN UNIVERSITY of SCIENCE and Technology
Country: TAIWAN
Tel: +886988154179
Tel prefix:
Fax: +88635528464
E-mail address: plu_chung@yahoo.com.tw
Other E-mails: mflu@must.edu.tw
Title of the Paper: Analysis of Robust Stability of Variable Structure Control in Frequency Domain
Authors as they appear in the Paper: Chingyei Chung, H.I. Chin, Shou-Yen Chao & M.F. Lu
Email addresses of all the authors: shouyen@must.edu.tw, mflu@must.edu.tw
Number of paper pages: 10
Abstract: Conventionally, the variable structure control is investigated in the time domain. However, this paper explore the properties of robust stability for variable structure control in frequency domain. Here, it can be shown that the variable structure control can be transformed into a Lur¡¦e problem. If the uncertainties of system and input matrices satisfy the ¡§matching conditions¡¨, then the zero dynamics of sliding surface will not changed; For robust stability, it can be shown that from the frequency domain point of view, the variable structure control possesses phase margin and infinity gain margin. and it reveals superior robust properties. Finally, according to circle criterion, a formula is presented that with suitable boundary layer, the variable structure control can achieve absolute stability of the overall system.
Keywords: Frequency Domain, Robust Stability, Lur¡¦e Problem, Zero Dynamics, circle criterion, phase margin, gain margin
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