Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme

Chang, Wen‐Jer; Tsai, Ming-Hsuan; Pen, Chin-Lin

doi:10.3390/app11062833

Cited by 18 publications

(27 citation statements)

References 39 publications

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“…However, in our approach, the problem is tackled in a more general way, since it allows us to design a sliding mode observer when the system is subject to constraints related to Markov jump switching and matched uncertainties. Indeed, we believe that the described approach in [48] does not achieve a satisfactory performance under the previous mentioned constraints.…”

Section: Comparative Discussionmentioning

confidence: 93%

“…In [48], a method was presented to design an observer-based controller for fuzzy descriptors with partially measured states. However, in our approach, the problem is tackled in a more general way, since it allows us to design a sliding mode observer when the system is subject to constraints related to Markov jump switching and matched uncertainties.…”

Section: Comparative Discussionmentioning

confidence: 99%

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A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications

et al. 2022

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Fuzzy theory is widely studied and applied. This article introduces an adaptive control scheme for a class of non-linear systems with Markov jump switching. The introduced scheme supposes that the system is submitted to external disturbances under imperfect premise matching. By using discrete-time Takagi–Sugeno fuzzy models, a sliding mode observer-based control scheme is utilized to estimate unmeasured states of the system. We build two fuzzy switching manifolds for the disturbance and sliding mode observer systems. Then, a linear matrix inequality-based criterion is developed using slack matrices. This criterion proves that the sliding mode dynamics are robustly admissible under an H-infinity performance often used in control theory. Hence, new adaptive sliding mode controllers are synthesized for the disturbance and sliding mode observer systems. This allows the reachability of pre-designed sliding surfaces to be guaranteed. Finally, experimental numerical illustrations on a bio-economic system and a tunnel diode circuit are presented to show potential applications, as well as validating the effectiveness of the scheme proposed in the present investigation.

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Section: Comparative Discussionmentioning

confidence: 93%

Section: Comparative Discussionmentioning

confidence: 99%

A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications

et al. 2022

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“…These days, the T-S fuzzy model (TSFM) [11,12] have shown their significance since it can approximate nonlinear systems by a set of linear subsystems and nonlinear fuzzy membership functions. Another importance of the TSFM is that can use many recognized linear control theories to analyze the stability conditions of nonlinear systems [13].…”

Section: Introductionmentioning

confidence: 99%

Passive Decentralized Fuzzy Control for Takagi-Sugeno Fuzzy Model Based Large-Scale Descriptor Systems

Chang

2022

IEEE Access

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“…Research [28] presents a unique method for constructing a TS fuzzy model of an unknown nonlinear system using experimental data. The observer-based fuzzy controller design technique for nonlinear discrete-time singular systems represented by TS fuzzy models is investigated in [29].…”

Section: Introductionmentioning

confidence: 99%

Discrete-Time System Conditional Optimization Based on Takagi–Sugeno Fuzzy Model Using the Full Transfer Function

et al. 2022

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The study proposes a novel method for synthesis of a discrete-time parallel distributed compensation (PDC) controller for the nonlinear discrete-time Takagi–Sugeno (TS) fuzzy plant model. For each of the fuzzy plant model linear subsystems, a local linear first order proportional-sum (PS) controller is designed. The algebraic technique is used in two-dimensional parameter space, utilizing the characteristic polynomial of the row nondegenerate full transfer function matrix. Each system’s relative stability is accomplished in relation to the selected damping coefficient. The supplementary criterion is the minimal value of the performance index in the form of the sum of squared errors (SSE). However, unlike the traditional technique, output error is impacted by all simultaneous actions on the system: nonzero inputs and nonzero initial conditions. The full transfer function matrix of the system allows for the treatment of simultaneous actions of the input vector and unknown unpredictable initial conditions. In order to show the improvement caused by the application of a new optimization method that considers nonzero initial conditions, a comparison of PDC controllers designed under zero and nonzero initial conditions is given, where the system in both cases starts from the same nonzero initial conditions, which is often the case in practice. The simulation and experimental results on a DC servo motor are shown to demonstrate the suggested method efficiency.

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Observer-Based Fuzzy Controller Design for Nonlinear Discrete-Time Singular Systems via Proportional Derivative Feedback Scheme

Cited by 18 publications

References 39 publications

A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications

A Fuzzy Design for a Sliding Mode Observer-Based Control Scheme of Takagi-Sugeno Markov Jump Systems under Imperfect Premise Matching with Bio-Economic and Industrial Applications

Passive Decentralized Fuzzy Control for Takagi-Sugeno Fuzzy Model Based Large-Scale Descriptor Systems

Discrete-Time System Conditional Optimization Based on Takagi–Sugeno Fuzzy Model Using the Full Transfer Function

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