Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique

Liheng Chen, Yanzheng Zhu, Choon Ki Ahn

Research output: Contribution to journalArticle

Abstract

This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface’s reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.

Original languageEnglish
JournalNonlinear Dynamics
DOIs
Publication statusPublished - 2019 Jan 1

Fingerprint

Adaptive Design
Sliding mode control
Sliding Mode Control
Sliding Mode
Nonlinear systems
Nonlinear Systems
Nonlinearity
Reachability
Logarithmic
Eliminate
Verify
Uncertainty
Class

Keywords

  • Fuzzy logic systems (FLSs)
  • Input nonlinearities
  • Signal quantization
  • Sliding mode control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering

Cite this

Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique. / Chen, Liheng; Zhu, Yanzheng; Ahn, Choon Ki.

In: Nonlinear Dynamics, 01.01.2019.

Research output: Contribution to journalArticle

@article{6ec19cd45dfd4f18a7e224f13cac4879,
title = "Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique",
abstract = "This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface’s reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.",
keywords = "Fuzzy logic systems (FLSs), Input nonlinearities, Signal quantization, Sliding mode control",
author = "Liheng Chen and Yanzheng Zhu and Ahn, {Choon Ki}",
year = "2019",
month = "1",
day = "1",
doi = "10.1007/s11071-019-04875-0",
language = "English",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer Netherlands",

}

TY - JOUR

T1 - Novel quantized fuzzy adaptive design for nonlinear systems with sliding mode technique

AU - Chen, Liheng

AU - Zhu, Yanzheng

AU - Ahn, Choon Ki

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface’s reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.

AB - This article examines the fuzzy adaptive design and the sliding mode control issue for a class of quantized systems subject to input nonlinearities. We establish a new quantized adaptive fuzzy law to approximate unstructured uncertainties, which uses quantized state signals instead of the real states. Then, we propose using the sliding mode control method with static logarithmic quantizer to eliminate the effects of input nonlinearities. Using the developed control scheme, quantized errors are compensated efficiently, and the designed sliding surface’s reachability can be ascertained. Finally, we give a demonstrative example to verify the advantages and efficiency of the developed control approach.

KW - Fuzzy logic systems (FLSs)

KW - Input nonlinearities

KW - Signal quantization

KW - Sliding mode control

UR - http://www.scopus.com/inward/record.url?scp=85063045807&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063045807&partnerID=8YFLogxK

U2 - 10.1007/s11071-019-04875-0

DO - 10.1007/s11071-019-04875-0

M3 - Article

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

ER -