Proceedings Article10.1109/CHICC.2015.7259657
Stabilization algorithm for interval type-2 TSK fuzzy logic control systems with bounded time-varying delay
Sun Xun,Zhang Hua-guang,Wang Yingchun +2 more
- 28 Jul 2015
- pp 321-325
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TL;DR: A less-redundant Lyapunov-Krasovskii function and a useful linear matrix inequality are constructed, which make the closed-loop system stabilization analysed in a mathematical way and provides a novel way to deal with the stabilization problem of IT2 TSK FLCS with time varying delay.
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Abstract: This paper studies the problem of stabilization for an interval type-2 Takagi-Sugeno-Kang fuzzy logic control system (IT2 TSK FLCS) with time varying delay. A type-1 fuzzy system (T1 FS) is used for modeling the plant, then an interval type-2 fuzzy system (IT2 FS) is used for constructing the controller which has been realized better abilities to handle uncertainties than its T1 counterpart. A less-redundant Lyapunov-Krasovskii function and a useful linear matrix inequality (LMI) are constructed, which make the closed-loop system stabilization analysed in a mathematical way. It provides a novel way to deal with the stabilization problem of IT2 TSK FLCS with time varying delay.
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Citations
Non-fragile control for interval type-2 TSK fuzzy logic control systems with time-delay
TL;DR: A Lyapunov–Krasovskii functional is constructed through the Wirtinger-based integral inequality which is less conservative than the Jensen inequality, then sufficient conditions are obtained to stabilize the interval type-2 Takagi–Sugeno–Kang fuzzy logic control system with time-delay.
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Novel Fuzzy Preview Controller for Rotary Inverted Pendulum under Time Delays
TL;DR: A novel fuzzy preview controller based on look up tables is proposed for control design of a rotary inverted pendulum represented with integrated time delay in system matrices, showing the influence of time delay can be countered effectively by integrating the delay into the system matrix and then using the novel fuzzy granular preview control.
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H∞ control of interval Type-2 fuzzy logic system with time-delay partition method
TL;DR: The stabilization and H∞ performance of an interval Type-2 Takagi–Sugeno–Kang fuzzy logic control system (IT2 TSK FLCS) with constant time-delay is considered and is transformed in terms of linear matrix inequalities (LMIs) for MATLAB to do simulation calculation.
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Stability analysis of dynamic nonlinear interval type-2 TSK fuzzy control systems based on describing function
Zahra Namadchian,Assef Zare +1 more
- 01 Oct 2020
TL;DR: This paper focuses on the limit cycles prediction problem to discuss the stability analysis of dynamic nonlinear interval type-2 Takagi–Sugeno–Kang fuzzy control systems with adjustable parameters.
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