Robust Filtering of 2-D Linear Parameter-Varying Systems

Wu, Ligang; Wang, Zidong

doi:10.1007/978-3-319-13698-1_3

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“…From Theorem 2, the sufficient conditions in LMIs form can be obtained. According to the method in [9], [16], [17], the solution of the LPV T-S fuzzy system can be executed.…”

Section: State Feedback ∞ Control Design Of Lpv T-s Fuzzy Systemmentioning

confidence: 99%

State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

Liu

Chang

et al. 2013

2013 18th International Conference on Methods &Amp; Models in Automation &Amp; Robotics (MMAR)

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This paper studies the linearization and control design for a class of Affine Nonlinear Parameter Varying (ANPV) systems. In advance, a kind of Takagi-Sugeno (T-S) fuzzy modeling procedure with homogeneous consequent part based on the ANPV system is proposed to deal with the nonlinearity and the LPV T-S fuzzy system is obtained. Then, taking the LPV T-S fuzzy system as the control design model, the piecewise parameter-dependent Lyapunov function is introduced for the LPV T-S fuzzy gain scheduling control. Especially, the statefeedback ∞ control design of the LPV T-S fuzzy system is studied and the sufficient conditions are given in LMIs form. Finally, a numerical example is provided to validate the availability of the approaches. The simulation results show the universal approximation ability of the LPV T-S fuzzy system to the nonlinearity and the effectiveness of the LPV T-S fuzzy gain scheduling control.

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“…From Theorem 2, the sufficient conditions in LMIs form can be obtained. According to the method in [9], [16], [17], the solution of the LPV T-S fuzzy system can be executed.…”

Section: State Feedback ∞ Control Design Of Lpv T-s Fuzzy Systemmentioning

confidence: 99%

State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

Liu

Chang

et al. 2013

2013 18th International Conference on Methods &Amp; Models in Automation &Amp; Robotics (MMAR)

View full text Add to dashboard Cite

show abstract

Robust Filtering of 2-D Linear Parameter-Varying Systems

Cited by 1 publication

References 0 publications

State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

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Robust Filtering of 2-D Linear Parameter-Varying Systems

Cited by 1 publication

References 0 publications

State-feedback H<inf>&#x221E;</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

State-feedback H<inf>&#x221E;</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

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State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions

State-feedback H<inf>∞</inf> control of LPV T-S fuzzy systems using piecewise Lyapunov functions