Multi-constrained Fuzzy Control for Perturbed T–S Fuzzy Singular Systems by Proportional-Plus-Derivative State Feedback Method

2022

IEEE Access

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“…Based on the inequalities (23)(24)(25)(26)(27), then one can rewrite the Lyapunov function (22) as follows:…”

Section:    mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

2022

IEEE Access

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“…The use of descriptor systems allows for a more precise and comprehensive description of bodily behavior [9]. However, it is important to note that analyzing the stability of descriptor systems presents unique challenges, such as addressing regularity and causality issues [10]. Despite these challenges, researchers have made remarkable progress in the field of DIS.…”

Section: Introductionmentioning

confidence: 99%

Constrained Cost Fuzzy Control via Decentralized Design Approach for Nonlinear Descriptor Interconnected Systems

et al. 2023

Machines

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This paper proposes a decentralized robust constrained cost fuzzy controller (DRCCFC) design for nonlinear descriptor interconnected systems (DIS) with uncertainties. The considered nonlinear DIS is modeled using Takagi–Sugeno fuzzy model (T-S FM) with fuzzy rules and strong interconnections. To derive sufficient stability conditions, the quadratic Lyapunov function (QLF) and free-weighting function (FWF) are defined. In contrast to the existing control approaches, the proportional–derivative feedback (PDF) control is introduced in this paper. Using the PDF control techniques, the regular and causal problems of the system can be solved easily. Based on the PDF control technique and constrained cost control (CCC) function, a set of fuzzy controllers are designed to effectively control the Takagi–Sugeno descriptor interconnected systems (T-S DIS). Then, the proposed sufficient conditions for the T-S DIS are derived in the form of linear matrix inequalities using the Schur complement technique. Finally, two simulation examples are provided to demonstrate the validity of the proposed control scheme.

“…Different from the standard state-space system, the descriptor system models are more natural and convenient to describe practical systems such as electric systems, power systems, and economic systems. In past years, the control problems of descriptor systems have been widely studied and a great number of results have been proposed [10][11]. However, there are only a few studies on (FLSDS) [12].…”

Section: Introductionmentioning

confidence: 99%

Robust Decentralized Fuzzy Controller Design for Nonlinear Large-Scale Interconnected Descriptor Systems

Pen

et al. 2022

J. Phys.: Conf. Ser.

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This paper dealt with the robust control problem for fuzzy large-scale descriptor systems (FLSDS) with uncertainties. First, each nonlinear subsystem of the large-scale descriptor system was described as a FLSDS with interconnectivity and uncertainty. Based on the proportional-plus-derivative state feedback (PD) method, the decentralized fuzzy controller in each subsystem was designed to stabilize the whole system. In order to solve the uncertainties problem in the control system simply, a benefits robust approach has been proposed. The final stability conditions can be recast into the linear matrix inequality (LMI) problem by the Schur complement. At last, a numerical example was given to illustrate the control design procedure and its effectiveness.