Integral sliding mode control design for nonlinear stochastic systems under imperfect quantization

This paper presents a sliding mode control（SMC） scheme via output-feedback approach for It？o stochastic systems under a quantization mechanism. The quantization process is formulated with the imperfection that random packet loss occurs at the logarithmic quantizer. A Luenberger observer is designed,...

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Bibliographic Details
Published inScience China. Information sciences Vol. 60; no. 12; pp. 67 - 77
Main Authors Gao, Yabin, Luo, Wensheng, Liu, Jianxing, Wu, Ligang
Format Journal Article
LanguageEnglish
Published Beijing Science China Press 01.12.2017
Springer Nature B.V
Subjects
Bottlenecks
Closed loops
Communication channels
Computer Science
Design
Feedback control
Information Systems and Communication Service
Mathematical functions
Measurement
Nonlinear control
Nonlinear systems
Output feedback
Research Paper
Sliding mode control
Stability analysis
Stochastic systems
Surface stability
quantized control
stochastic systems
packet loss
sliding mode control
observer design
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Summary:This paper presents a sliding mode control（SMC） scheme via output-feedback approach for It？o stochastic systems under a quantization mechanism. The quantization process is formulated with the imperfection that random packet loss occurs at the logarithmic quantizer. A Luenberger observer is designed, based on the packet loss rate and the imperfect quantized measurement. A novel SMC law is synthesized by utilization of an integral sliding surface. The stochastic stability of the resulting closed-loop system is analyzed in terms of Lyapunov stability, and a set of solvable matrix inequalities are established for practical application requirements. Finally, a simulation example is employed for the illustration of the effectiveness of the presented control scheme.
Bibliography:11-5847/TP
stochastic systems quantized control sliding mode control observer design packet loss
This paper presents a sliding mode control（SMC） scheme via output-feedback approach for It？o stochastic systems under a quantization mechanism. The quantization process is formulated with the imperfection that random packet loss occurs at the logarithmic quantizer. A Luenberger observer is designed, based on the packet loss rate and the imperfect quantized measurement. A novel SMC law is synthesized by utilization of an integral sliding surface. The stochastic stability of the resulting closed-loop system is analyzed in terms of Lyapunov stability, and a set of solvable matrix inequalities are established for practical application requirements. Finally, a simulation example is employed for the illustration of the effectiveness of the presented control scheme.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-017-9148-2