Reliable Sliding Mode Control of Fast Sampling Singularly Perturbed Systems: A Redundant Channel Transmission Protocol Approach

This paper endeavors to investigate the output-feedback sliding mode control (SMC) issue of the networked singularly perturbed systems (SPSs) under fast sampling. In order to improve the reliability of network communication, a redundant channel transmission protocol is introduced in the SMC design....

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Published inIEEE transactions on circuits and systems. I, Regular papers Vol. 66; no. 11; pp. 4490 - 4501
Main Authors Song, Jun, Niu, Yugang, Lam, Hak-Keung
Format Journal Article
LanguageEnglish
Published New York IEEE 01.11.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Circuit stability
Computational geometry
Convexity
Integrated circuit modeling
Integrated circuit reliability
Liapunov functions
Network reliability
Operational amplifiers
Optimization
Output feedback
Protocols
Redundancy
redundant channel transmission protocol
Reliability
Sampling
singularly perturbed systems
Sliding mode control
Stability analysis
Upper bounds
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Abstract This paper endeavors to investigate the output-feedback sliding mode control (SMC) issue of the networked singularly perturbed systems (SPSs) under fast sampling. In order to improve the reliability of network communication, a redundant channel transmission protocol is introduced in the SMC design. Based on the measurement outputs, a sliding function is constructed with the consideration of the transmission protocol. With the aid of some appropriate Lyapunov functions, the sufficient conditions are derived to ensure the mean-square exponentially ultimately boundedness of the sliding mode dynamics and the reachability of the specified sliding surface. Moreover, a convex optimization algorithm is formulated to solve the output-feedback SMC law by searching the available upper bound of the singularly perturbed parameter. Finally, an operational amplifier circuit is exploited to explore the influences from the redundant channel transmission protocol to the output-feedback SMC performance and the estimated ε-bound.
AbstractList This paper endeavors to investigate the output-feedback sliding mode control (SMC) issue of the networked singularly perturbed systems (SPSs) under fast sampling. In order to improve the reliability of network communication, a redundant channel transmission protocol is introduced in the SMC design. Based on the measurement outputs, a sliding function is constructed with the consideration of the transmission protocol. With the aid of some appropriate Lyapunov functions, the sufficient conditions are derived to ensure the mean-square exponentially ultimately boundedness of the sliding mode dynamics and the reachability of the specified sliding surface. Moreover, a convex optimization algorithm is formulated to solve the output-feedback SMC law by searching the available upper bound of the singularly perturbed parameter. Finally, an operational amplifier circuit is exploited to explore the influences from the redundant channel transmission protocol to the output-feedback SMC performance and the estimated [Formula Omitted]-bound.
This paper endeavors to investigate the output-feedback sliding mode control (SMC) issue of the networked singularly perturbed systems (SPSs) under fast sampling. In order to improve the reliability of network communication, a redundant channel transmission protocol is introduced in the SMC design. Based on the measurement outputs, a sliding function is constructed with the consideration of the transmission protocol. With the aid of some appropriate Lyapunov functions, the sufficient conditions are derived to ensure the mean-square exponentially ultimately boundedness of the sliding mode dynamics and the reachability of the specified sliding surface. Moreover, a convex optimization algorithm is formulated to solve the output-feedback SMC law by searching the available upper bound of the singularly perturbed parameter. Finally, an operational amplifier circuit is exploited to explore the influences from the redundant channel transmission protocol to the output-feedback SMC performance and the estimated ε-bound.
Author Song, Jun
Lam, Hak-Keung
Niu, Yugang
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  orcidid: 0000-0003-4718-9835
  surname: Song
  fullname: Song, Jun
  email: jun_song@ecust.edu.cn
  organization: Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, China
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  givenname: Yugang
  orcidid: 0000-0002-3010-1879
  surname: Niu
  fullname: Niu, Yugang
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  organization: Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, China
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  givenname: Hak-Keung
  orcidid: 0000-0002-6572-7265
  surname: Lam
  fullname: Lam, Hak-Keung
  email: hak-keung.lam@kcl.ac.uk
  organization: Department of Informatics, King's College London, London, U.K
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Snippet This paper endeavors to investigate the output-feedback sliding mode control (SMC) issue of the networked singularly perturbed systems (SPSs) under fast...
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SubjectTerms Algorithms
Circuit stability
Computational geometry
Convexity
Integrated circuit modeling
Integrated circuit reliability
Liapunov functions
Network reliability
Operational amplifiers
Optimization
Output feedback
Protocols
Redundancy
redundant channel transmission protocol
Reliability
Sampling
singularly perturbed systems
Sliding mode control
Stability analysis
Upper bounds
Title Reliable Sliding Mode Control of Fast Sampling Singularly Perturbed Systems: A Redundant Channel Transmission Protocol Approach
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