In this paper we present a robust controller based on Takagi-Sugeno (T-S) fuzzy model. First, we obtain the nonlinear state equation of the underactuated robot systems by linearization, then, the paralleldistributed ...
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ISBN:
(纸本)9781509035496
In this paper we present a robust controller based on Takagi-Sugeno (T-S) fuzzy model. First, we obtain the nonlinear state equation of the underactuated robot systems by linearization, then, the parallel distributed compensation scheme (PDC) is applied to design the controller. Simulation results show the robustness of the pendubot control system against the disturbance.
This papers aims at designing of a set-point regulation control of a two-link planar manipulator with flexible joints considering the motor measurement only. The set-point regulation control is applied to find a feedb...
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ISBN:
(纸本)9781467371292
This papers aims at designing of a set-point regulation control of a two-link planar manipulator with flexible joints considering the motor measurement only. The set-point regulation control is applied to find a feedback control law that attenuates the vibration on the joints for a desired closed-loop balance at a specific configuration. The dynamic model of the flexible manipulator with rigid links and flexible joints is derived using the Lagrange-Euler principle. The nonlinear dynamics of the robotic flexible manipulator is approximated with the help of a Takagi-Sugeno fuzzy model. The control strategy proposed in this contribution is based on the Fuzzy Takagi-Sugeno model as well as the parallel distributed compensation. Simulation results show that the proposed control strategy regulates the position of the robot over a desired position within the workspace.
this paper presents the methodology for design Takagi-Sugeno controller to mono-machine power system in order to study transient stability under severe perturbation. The nonlinear system is modeled and transformed on ...
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ISBN:
(纸本)9781509034079
this paper presents the methodology for design Takagi-Sugeno controller to mono-machine power system in order to study transient stability under severe perturbation. The nonlinear system is modeled and transformed on linear fuzzy model. Then, the design of Takagi-Sugeno regulator is derived from optimal control. The feedback gains are determined by linear quadratic instruction. This Technique is applied on test system. Important issues of transient stability and design are remarked.
The paper proposes a fuzzy passivity non-fragile control approach for flexible joint robot. The T-S fuzzy model is applied to approximate the flexible joint robot at first, and then the fuzzy controller is developed b...
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ISBN:
(纸本)9783037859124
The paper proposes a fuzzy passivity non-fragile control approach for flexible joint robot. The T-S fuzzy model is applied to approximate the flexible joint robot at first, and then the fuzzy controller is developed based on parallel distributed compensation principle. The passivity non-fragile performance of controller is also employed to limit the influence of model error. The conditions for the stability of the flexible joint robot control system are proposed by using Lyapunov function, linear matrix inequality is applied to resolve the controller parameter. The simulation experiment results show the effectiveness of the proposed method.
This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distribut...
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ISBN:
(纸本)1424402093
This paper deals with the class of continuous-time uncertain stochastic fuzzy systems with norm bounded uncertainties. A model-based fuzzy stabilization design utilizing the concept of the so-called parallel distributed compensation (PDC) is employed to stochastically stabilize the class of systems under consideration. LMI-based sufficient conditions are developed to synthesize the state feedback controller that stochastically stabilizes either the nominal system or the uncertain one. A numerical example is provided to show the effectiveness of the proposed results.
This paper presents new stability conditions and LMI (linear matrix inequality) based designs for both continuous and discrete fuzzy control systems. First, Takagi and Sugeno's fuzzy models and some stability resu...
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ISBN:
(纸本)0780335910
This paper presents new stability conditions and LMI (linear matrix inequality) based designs for both continuous and discrete fuzzy control systems. First, Takagi and Sugeno's fuzzy models and some stability results are recalled. To design fuzzy control systems, nonlinear systems are represented by Takagi-Sugeno fuzzy models. The concept of parallel distributed compensation is employed to design fuzzy controllers from the Takagi-Sugeno fuzzy models. New stability conditions are obtained by relaxing the stability conditions derived in previous papers. The stability analysis of the feedback system is reduced to a problem of finding a common Lyapunov function for a set of linear matrix inequalities. Convex optimization techniques involving LMIs are utilized to find a common Lyapunov function. A procedure to design the fuzzy controller is constructed using the parallel distributed compensation and the relaxed stability conditions. Some stability issues are remarked. A simple example demonstrates the effects of the derived stability conditions.
The nonlinear plants with significant time delays are difficult to be controlled by classical means. In the present paper intelligent approaches are applied for the design of a nonlinear Smith predictor for compensati...
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ISBN:
(纸本)9781538606971
The nonlinear plants with significant time delays are difficult to be controlled by classical means. In the present paper intelligent approaches are applied for the design of a nonlinear Smith predictor for compensation of the plant time delay based on a Takagi-Sugeno-Kang plant model and a fuzzy logic parallel distributed compensation (PDC). The design and the advantages of the PDC-Smith are illustrated in temperature control. The good compensation of both the plant time delay and nonlinearity results in faster system step responses in regard to a linear PI, a Smith and a PDC control systems.
This paper investigates a robust fuzzy sliding mode control (FSMC) for the synchronization of chaotic systems. By using Lyapunov function the sliding surfaces are proposed for the chaotic system which is express by T-...
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ISBN:
(纸本)9781424487363
This paper investigates a robust fuzzy sliding mode control (FSMC) for the synchronization of chaotic systems. By using Lyapunov function the sliding surfaces are proposed for the chaotic system which is express by T-S fuzzy model. The design is based on the concept of parallel distributed compensation (PDC). The designed sliding mode controller such that the global system confined on the sliding surfaces is asymptotically stable. The proposed controller can guarantee asymptotical synchronization of both drive and response systems. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.
This paper presents a fuzzy controller design method for the singular nonlinear systems with perturbations via singular affine Takagi-Sugeno (T-S) fuzzy models. The parallel distributed compensation (PDC) technique is...
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ISBN:
(纸本)9784907764302
This paper presents a fuzzy controller design method for the singular nonlinear systems with perturbations via singular affine Takagi-Sugeno (T-S) fuzzy models. The parallel distributed compensation (PDC) technique is applied to design this fuzzy controller for the singular affine T-S fuzzy model. However, the derived stability conditions with the fuzzy controller are Bilinear Matrix Inequality (BMI) problems which cannot be calculated by the optimal convex programming algorithm of Linear Matrix Inequality (LMI) method directly. In order to solve the present design problem, the BMI problems must be transferred into the LMI problems. Hence, an Iterative Linear Matrix Inequality (ILMI) algorithm is developed to find the feasible solutions for the stability conditions. Finally, a numerical example is provided to demonstrate the applications and effectiveness of the proposed fuzzy control approach.
The dissipativity analysis for single flexible joint robotic system via Takagi-Sugeno (T-S) fuzzy modelling technique is the main focus of this paper. Our aim is to design a delayed state feedback controller by using ...
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The dissipativity analysis for single flexible joint robotic system via Takagi-Sugeno (T-S) fuzzy modelling technique is the main focus of this paper. Our aim is to design a delayed state feedback controller by using parallel distributed compensation (PDC) so that the considered system is asymptotically stable with a phi(2), phi(3)) -gamma- dissipativity condition is derived in terms of linear matrix inequality (LMI) framework by constructing an appropriate Lyapunov Krasovskii functional (LKF) and using higher order polynomial based integral inequality (HOPBII) to estimate its derivative. Finally, numerical simulation result is given to show the effectiveness of the proposed theoretical method. Copyright (C) 2022 The Authors.
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