Robust Tracking Control of Interval Type-2 Positive Takagi-Sugeno Fuzzy Systems with External Disturbance

2021 ◽  
pp. 1-1
Author(s):  
Lining Fu ◽  
Hak-Keung Lam ◽  
Fucai Liu ◽  
Hongying Zhou ◽  
Zhixiong Zhong
Keyword(s):  
Tracking Control ◽  
Fuzzy Systems ◽  
External Disturbance ◽  
Robust Tracking ◽  
Robust Tracking Control ◽  
Interval Type ◽  
Takagi Sugeno

Robust Tracking Control for Takagi–Sugeno Fuzzy Systems With Unmeasurable Premise Variables: Application to Tank System

2014 ◽  
Vol 136 (4) ◽  
Author(s):  
H. Ghorbel ◽  
A. El Hajjaji ◽  
M. Souissi ◽  
M. Chaabane
Keyword(s):  
Tracking Control ◽  
Fuzzy Systems ◽  
Design Procedure ◽  
Control Design ◽  
Linear Matrix ◽  
Robust Tracking Control ◽  
Fuzzy Observer ◽  
Tank System ◽  
System States ◽  
Takagi Sugeno

In this paper, a robust fuzzy observer-based tracking controller for continuous-time nonlinear systems presented by Takagi–Sugeno (TS) models with unmeasurable premise variables, is synthesized. Using the H∞ norm and Lyapunov approach, the control design for TS fuzzy systems with both unmeasurable premises and system states is developed to guarantee tracking performance of closed loop systems. Sufficient relaxed conditions for synthesis of the fuzzy observer and the fuzzy control are driven in terms of linear matrix inequalities (LMIs) constraints. The proposed method allows simplifying the design procedure and gives the observer and controller gains in only one step. Numerical simulation on a two tank system is provided to illustrate the tracking control design procedure and to confirm the efficiency of the proposed method.

scholarly journals Adaptive Proportional Integral Observer Design for Interval Type 2 Takagi–Sugeno Fuzzy Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Atef Khedher ◽  
Ilyes Elleuch ◽  
Kamal BenOthman
Keyword(s):  
Fuzzy Systems ◽  
Observer Design ◽  
Adaptive Observer ◽  
Fault Estimation ◽  
Sensor Faults ◽  
Proportional Integral ◽  
Augmented State ◽  
Interval Type ◽  
Takagi Sugeno

In this paper, the problem of fault estimation in systems described by Takagi–Sugeno fuzzy systems is studied. A proportional integral observer is conceived in order to reconstruct state and faults which can affect the studied system. Proportional integral observer can easily estimate actuator faults which are assimilated to be as unknown inputs. In order to estimate actuator and sensor faults, a mathematical transformation is used to conceive an augmented system, in which the initial sensor fault appears as an unknown input. Considering the augmented state, it is possible to conceive an adaptive observer which is able to estimate the whole state and faults. The noise effect on the state and fault estimation is also minimized in this study, which provides some robustness properties to the proposed observer. The proportional integral observer is conceived for nonlinear systems described by Takagi–Sugeno fuzzy models.

scholarly journals Admissibilisation of singular interval type-2 Takagi–Sugeno fuzzy systems with time delay

2020 ◽  
Vol 14 (8) ◽  
pp. 1022-1032 ◽  
Author(s):  
Zhiguang Feng ◽  
Huayang Zhang ◽  
Haiping Du ◽  
Zhengyi Jiang
Keyword(s):  
Time Delay ◽  
Fuzzy Systems ◽  
Interval Type ◽  
Takagi Sugeno

scholarly journals Robust tracking control design for fractional-order interval type-2 fuzzy systems

2021 ◽  
Author(s):  
Kavikumar Ramasamy ◽  
Sakthivel Rathinasamy ◽  
Kwon O.M ◽  
Selvaraj Palanisamy
Keyword(s):  
Fractional Order ◽  
Fuzzy System ◽  
Filter Design ◽  
External Disturbance ◽  
Tracking Error ◽  
Control Technique ◽  
Order Interval ◽  
Robust Tracking Control ◽  
Interval Type

Abstract In this paper, a robust control strategy is proposed to deal with the state tracking problem of fractional-order interval type-2 fuzzy system with external disturbance, model uncertainties and state delay. In particular, footprints of uncertainty of the underlying fuzzy system is taken into account to capture and model different level of uncertainties. The uncertainty and disturbance estimator is used to promote the tracking behavior of rejecting disturbance in the control system. First, by applying Lyapunov approach, we focus on the examination of stability and performance of the fractional-order tracking error system. Next, unknown system uncertainties, external disturbances and nonlinearities are accurately estimated via an appropriate filter design. Especially, the proposed control technique does not require any prior knowledge about above said unknown factors and it only require the bandwidth information about low-pass filter.Finally, the feasibility and advantages of the proposed design scheme are confirmed by three numerical examples.

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