Observer-Based Fuzzy Control of Uncertain Nonlinear Singular Systems under Multi-Performance Requirements

Chang, Wen‐Jer; Huang, Yu-Min; Lin, Yann-Horng

doi:10.3390/math11122632

Cited by 3 publications

(1 citation statement)

References 36 publications

(92 reference statements)

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“…This feature can efficiently reduce the control and analysis problems of nonlinear systems to a linear problem, such that the intricacy of the fuzzy controller design method can be decreased. Because of this advantage, many performance requirements have already been considered for the control problem of nonlinear systems based on the T-SFM, such as time delay and Processes 2024, 12, 540 2 of 21 external disturbance [6,7]. Using the representation of T-SFM, the fuzzy observer and controller can also be developed for an NDS with many valuable linear design theories.…”

Section: Introductionmentioning

confidence: 99%

Robust Observer-Based Proportional Derivative Fuzzy Control Approach for Discrete-Time Nonlinear Descriptor Systems with Transient Response Requirements

Lin,

Lee,

Chang

et al. 2024

Processes

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This paper proposes an observer-based proportional Derivative (O-BPD) fuzzy controller for uncertain discrete-time nonlinear descriptor systems (NDSs). Representing NDSs with the Takagi–Sugeno fuzzy model (T-SFM), the proportional derivative (PD) feedback method can be utilized in the fuzzy controller design via the Parallel Distributed Compensation (PDC) concept, such that the noncausal problem and impulse behavior are avoided. A fuzzy observer is proposed to obtain unmeasured states to fulfill the PD fuzzy controller. Moreover, uncertainties and transient response performances are taken into account for the NDSs. Then, a stability analysis process and corresponding stability conditions are derived from the Lyapunov theory with the robust control method and the pole constraint. Different from existing research, the Singular Value Decomposition (SVD) and the projection lemma are utilized to transfer the stability conditions into the Linear Matrix Inequation (LMI) form. Because of this reason, the conservatism of the analysis process can be reduced by eliminating the restriction on the positive definite matrix in the Lyapunov function. By giving the proper center and radius parameters of the pole constraint in the O-BPD fuzzy controller design process, the expected transient responses can be obtained for different designers and different practical applications. Finally, the effectiveness and applicability of the proposed O-BPD fuzzy controller are demonstrated by two examples of the simulation.

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Section: Introductionmentioning

confidence: 99%

Robust Observer-Based Proportional Derivative Fuzzy Control Approach for Discrete-Time Nonlinear Descriptor Systems with Transient Response Requirements

Lin,

Lee,

Chang

et al. 2024

Processes

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Passive Formation and Containment Control of Multiple Nonlinear Autonomous Ship Systems with External Disturbances Based on Interval Type-2 T–S Fuzzy Model

Chang,

Lin,

2024

Int. J. Fuzzy Syst.

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Observer-based sliding mode controller design for singular bio-economic system with stochastic disturbance

Zhang,

Zhao,

et al. 2023

MATH

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<abstract><p>In this paper, we investigate the problems of sliding mode observer design and observer-based integral sliding mode control for a class of singular bio-economic systems with stochastic disturbance. Initially, we establish a bio-economic system with the alien invasive species and stochastic disturbance. Then, a new integral sliding surface is constructed based on the multiplication of sliding variables and negative definite matrix for the error system. The advantage of this method is that it not only stabilizes the sliding variables, but also eliminates the restrictive assumptions often used in sliding mode control of the singular bio-economic systems with stochastic disturbance. Finally, an augmented system is constructed and the linear matrix inequality technique is used to determine the admissibility of the mean square exponent. Furthermore, an observer-based sliding mode controller is designed so that the reachability conditions can be guaranteed. The validity of the results is verified by a numerical simulation.</p></abstract>

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Observer-Based Fuzzy Control of Uncertain Nonlinear Singular Systems under Multi-Performance Requirements

Cited by 3 publications

References 36 publications

Robust Observer-Based Proportional Derivative Fuzzy Control Approach for Discrete-Time Nonlinear Descriptor Systems with Transient Response Requirements

Robust Observer-Based Proportional Derivative Fuzzy Control Approach for Discrete-Time Nonlinear Descriptor Systems with Transient Response Requirements

Passive Formation and Containment Control of Multiple Nonlinear Autonomous Ship Systems with External Disturbances Based on Interval Type-2 T–S Fuzzy Model

Observer-based sliding mode controller design for singular bio-economic system with stochastic disturbance

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