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Transactions: WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
Transactions ID Number: 42-408
Full Name: Shen Yu
Position: Ph.D. Candidate
Age: ON
Sex: Male
Address: School of Mechano-electronic Engineering, Xidian University, Xi¡¯an 710071
Country: CHINA
Tel: +86-029-88201974
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E-mail address: shenyuxd@126.com
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Title of the Paper: optimal switching function discrete sliding-mode control based on unmatched uncertainties states observer
Authors as they appear in the Paper: SHEN Yu, MA Bo-yuan, Du Jin-xin
Email addresses of all the authors: shenyuxd@126.com,boyuanma@126.com,djx_xdck@126.com
Number of paper pages: 10
Abstract: For a class of discrete unmatched uncertain systems with incompletely measured states, a stable closed-loop sliding-mode control method based on the unmatched uncertain states observer is proposed. The output error feedback matrix is obtained by transformation of uncertainties state equation and solving the linear matrix inequalities(LMI). The stability of the states observer is proved. A reaching-law sliding-mode controller is presented for this discrete system by employing the results of the observer. To enhance the stability of the reaching-law sliding-mode controller, the stability margin is defined by using the min-max eigenvalue ration method. By deducing the min-max Lyapunov difference function, solving linear programming and optimizing the switching function, the closed-loop sliding-mode controller can get the maximum stability margin. The simulation results show the effectiveness of the proposed control method.
Keywords: discrete system; unmatched uncertainties states observer; reaching-law slide mode controller; stability margin
EXTENSION of the file: .doc
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