T-S Fuzzy-Model-Based Output Feedback Tracking Control With Control Input Saturation

This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system t...

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Published inIEEE transactions on fuzzy systems Vol. 26; no. 6; pp. 3514 - 3523
Main Authors Yu, Yan, Lam, Hak-Keung, Chan, Kit Yan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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Actuators
Computer simulation
Control input saturation
Control stability
Control systems design
Control theory
Controllers
Feedback loops
Fuzzy control
Fuzzy systems
linear matrix inequalities (LMIs)
Lower bounds
Lyapunov methods
Mathematical models
membership function dependent (MFD)
Nonlinear control
Nonlinear systems
Nonlinearity
Output feedback
Saturation
Stability analysis
Tracking control
Trajectory
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Abstract This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to <inline-formula><tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of <inline-formula> <tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance and control input saturation rate according to the tracking result.
AbstractList This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T-S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to <inline-formula><tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of <inline-formula> <tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance and control input saturation rate according to the tracking result.
This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is developed based on a T–S fuzzy model and a fuzzy controller. The controller is employed to close the feedback loop and generate the system to trace the trajectory of the states of a stable reference model subject to [Formula Omitted] performance. To enhance the fuzzy controller design flexibility, the number of rules and premise membership functions can be adjusted. Stability analysis for the FMB control system is performed based on Lyapunov stability theory. To address the control input saturation problem, linear sectors are created by local linear upper and lower bounds to include the possible control area. Hence, the nonlinear saturation problem can be tackled by the stability analysis of linear sectors. The membership-functions-dependent technique is used to bring the information and address the nonlinearity of embedded membership functions into the stability analysis. The numerical simulation example demonstrates the effectiveness of the proposed approach and discusses the effect of [Formula Omitted] performance and control input saturation rate according to the tracking result.
Author Chan, Kit Yan
Lam, Hak-Keung
Yu, Yan
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Snippet This paper investigates the output feedback tracking control for a fuzzy-model-based (FMB) control system when the control input is saturated, where the FMB is...
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Actuators
Computer simulation
Control input saturation
Control stability
Control systems design
Control theory
Controllers
Feedback loops
Fuzzy control
Fuzzy systems
linear matrix inequalities (LMIs)
Lower bounds
Lyapunov methods
Mathematical models
membership function dependent (MFD)
Nonlinear control
Nonlinear systems
Nonlinearity
Output feedback
Saturation
Stability analysis
Tracking control
Trajectory
Title T-S Fuzzy-Model-Based Output Feedback Tracking Control With Control Input Saturation
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