Further Study on Observer Design for Continuous-Time Takagi–Sugeno Fuzzy Model With Unknown Premise Variables via Average Dwell Time

2020 ◽  
Vol 50 (11) ◽  
pp. 4855-4860 ◽  
Author(s):  
Likui Wang ◽  
Hak-Keung Lam
Keyword(s):  
Continuous Time ◽  
Dwell Time ◽  
Fuzzy Model ◽  
Average Dwell Time ◽  
Observer Design ◽  
Takagi Sugeno

An approach to observer design of continuous-time Takagi–Sugeno fuzzy model with bounded disturbances

2015 ◽  
Vol 324 ◽  
pp. 108-125 ◽  
Author(s):  
Li Kui Wang ◽  
Jia Li Peng ◽  
Xiao Dong Liu ◽  
Hua Guang Zhang
Keyword(s):  
Continuous Time ◽  
Fuzzy Model ◽  
Observer Design ◽  
Bounded Disturbances ◽  
Takagi Sugeno

Further studies on H∞ observer design for continuous-time Takagi–Sugeno fuzzy model

2018 ◽  
Vol 422 ◽  
pp. 396-407 ◽  
Author(s):  
Likui Wang ◽  
Xiaodong Liu ◽  
Huaguang Zhang
Keyword(s):  
Continuous Time ◽  
Fuzzy Model ◽  
Observer Design ◽  
Takagi Sugeno

scholarly journals Robust Observer Design for Switched Positive Linear System with Uncertainties

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Yanke Zhong ◽  
Tefang Chen
Keyword(s):  
Linear System ◽  
Linear Matrix Inequality ◽  
Dwell Time ◽  
Sufficient Conditions ◽  
Average Dwell Time ◽  
Observer Design ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Robust Observer ◽  
Slack Variable

This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introducing an auxiliary slack variable, these sufficient conditions are transformed into LMI (linear matrix inequality). A numerical example is given to illustrate the validities of obtained results.

scholarly journals Interval Observer Design for Metzlerian Takagi-Sugeno Systems

2020 ◽  
Author(s):  
Dušan Krokavec ◽  
Anna Filasová
Keyword(s):  
Continuous Time ◽  
Observer Design ◽  
Asymptotic Convergence ◽  
Observer Error ◽  
Analysis And Design ◽  
Interval Observer ◽  
Takagi Sugeno ◽  
Positive Observer ◽  
The Relationship

The generalized interval observer design conditions for continuous-time Metzlerian Takagi-Sugeno systems are presented in the paper. Attention is focused on the analysis and design guaranteeing the asymptotic convergence of the interval observer error and positivity of interval observer state. The relationship between the nonnegativity of the observer gains and the corresponding positive observer state attractiveness is also shown. The method presented extends and generalizes the results that recently appeared in the literature.

scholarly journals Stabilization of a Class of Switched Positive Nonlinear Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Xing Xing ◽  
Zhichun Jia ◽  
Yunfei Yin ◽  
Tingting Wu
Keyword(s):  
Nonlinear Systems ◽  
Discrete Time ◽  
Continuous Time ◽  
Dwell Time ◽  
Average Dwell Time ◽  
Sufficient Condition ◽  
Cooperative System ◽  
Numerical Example ◽  
New Class

The problem of switching stabilization for a class of switched positive nonlinear systems (switched positive homogeneous cooperative system (SPHCS) in the continuous-time context and switched positive homogeneous order-preserving system (SPHOS) in the discrete-time context) is studied by using average dwell time (ADT) approach, where the positive subsystems are possibly all unstable. To tackle this problem, a new class of ADT switching is first defined, which is different from the previous defined ADT switching in the literature. Then, the proposed ADT is designed via analyzing the weightedl∞norm of the considered system’s state. A sufficient condition of stabilization for SPHCSs with unstable positive subsystems is derived in continuous-time context. Furthermore, a sufficient condition for SPHOSs under the assumption that all modes are possibly unstable is also obtained. Finally, a numerical example is given to demonstrate the advantages and effectiveness of our developed results.

An extended approach to controller design of continuous-time Takagi-Sugeno fuzzy model

2018 ◽  
Vol 34 (4) ◽  
pp. 2235-2246 ◽  
Author(s):  
Guolin Hu ◽  
Xiaodong Liu ◽  
Likui Wang ◽  
Hongxing Li
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Fuzzy Model ◽  
Extended Approach ◽  
Takagi Sugeno

Fuzzy Observer Design for a Class of Uncertain Nonlinear System

2015 ◽  
Vol 740 ◽  
pp. 257-260
Author(s):  
Xian Jia Feng ◽  
Shu Li Guo ◽  
Li Na Han
Keyword(s):  
Nonlinear System ◽  
Magnetic Levitation ◽  
Fuzzy Model ◽  
Observer Design ◽  
Uncertain Nonlinear System ◽  
Adaptive Law ◽  
Levitation System ◽  
Magnetic Levitation System ◽  
Takagi Sugeno ◽  
Fuzzy State

In this paper, a fuzzy state observer with an appropriate adaptive law is developed for a class of uncertain nonlinear system. The uncertain nonlinear system is represented by Takagi-Sugeno (T-S) fuzzy model, and the adaptive law is derived based on Lyapunov synthesis approach. It is shown that under appropriate assumptions, the state error between plant system state and desired linear model state converges to zero as time increases. The results of numerical simulation and the experiment on the magnetic levitation system show the effectiveness of this approach.

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