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

2022 ◽  
Author(s):  
Ramasamy Kavikumar ◽  
Rathinasamy Sakthivel ◽  
Oh-Min Kwon ◽  
Palanisamy Selvaraj
Keyword(s):  
Fractional Order ◽  
Tracking Control ◽  
Fuzzy Systems ◽  
Control Design ◽  
Order Interval ◽  
Robust Tracking ◽  
Robust Tracking Control ◽  
Interval Type

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.

scholarly journals Observer-Based $H_\infty$ Repetitive Control for Fractional-Order Interval Type-2 TS Fuzzy Systems

IEEE Access ◽  
2018 ◽  
Vol 6 ◽  
pp. 49828-49837 ◽  
Author(s):  
R. sakthivel ◽  
R. Kavikumar ◽  
Yong-Ki Ma ◽  
Yong Ren ◽  
S. Marshal Anthoni
Keyword(s):  
Fractional Order ◽  
Fuzzy Systems ◽  
Repetitive Control ◽  
Order Interval ◽  
Interval Type

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 Control Design for Interval Type-2 Fuzzy Systems Under Imperfect Premise Matching

2014 ◽  
Vol 61 (2) ◽  
pp. 956-968 ◽  
Author(s):  
H. K. Lam ◽  
Hongyi Li ◽  
Christian Deters ◽  
E. L. Secco ◽  
Helge A. Wurdemann ◽  
...  
Keyword(s):  
Fuzzy Systems ◽  
Control Design ◽  
Interval Type ◽  
Imperfect Premise Matching
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