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In this paper, the absolute stability of a new class of Takagi-Sugeno (T-S) fuzzy Lurie control systems with multiple time-delays is investigated. By utilizing the Lyapunov stability theory and the linear matrix inequality (LMI) approach, a novel delay-dependent absolutely stable condition is derived. In addition, by using Simulink toolbox in MATLAB, a simulation example is provided to demonstrate...
In this paper, a 4 wheel steering vehicle (4WS) was used as a template and a vehicle was modeled (experimental) by using 2 degree of freedom system. The dynamics governing the Yaw behavior of a vehicle has been simulated with MATLAB/SIMULINK software. A controller, working by fuzzy logic was then designed. A relationship between front and rear angle of tires in different speeds and different front...
In this paper we propose a concept for building simulation algorithms for switched fuzzy control systems. Using these concepts we have shown the whole process of modeling, stability analysis and design of stabilizing switched fuzzy logic controllers for the hovercraft-vehicle, as a typical nonholonomic system. Using this typical nonholonomic system (the system is subject to constraints involving both,...
Linearization of T-S fuzzy model is difficult to be achieved by using existing linearization methods because fuzzy rules and membership functions are included in T-S fuzzy models. In this paper, a new linearization method is proposed for discrete time T-S fuzzy system based on the properties of T-S fuzzy theorem. The local linear models of a T-S fuzzy model are transformed to a controllable canonical...
We study how the components of a general class of Mamdani fuzzy controllers dictate the controller's input-output relationship. The controllers can use input fuzzy sets of any types, arbitrary fuzzy rules, arbitrary inference methods, either Zadeh or the product fuzzy logic AND operator, singleton output fuzzy sets, and the centroid defuzzifier. We theoretically prove that regardless of the choices...
Based on the analytical structure of a typical fuzzy controller with sum-product operators, gravity of center defuzzifier and single point output, the default of trapezoid membership function is analyzed in detail, and then a new kind of membership function called general linear membership function (abbr. GLMF) is designed in the paper. GLMF includes characters of triangle and trapezoid shaped membership...
This paper discusses the impact of HVDC on Power System Stability and proposes a new type of control mechanism based on Fuzzy set theory to augment dynamic performance of a multi-machine power system. To have good damping characteristics over a wide range of operating conditions, speed deviation (Δω = error1) and acceleration (Δώ = error3), of the machines are chosen as the input signals to the fuzzy...
Many theoretical and experimental results have appeared recently on the stability of T-S fuzzy systems and the convergence of the Particle Swarm Optimization (PSO) algorithm. In this paper, we present a T-S fuzzy stochastic PSO model in which the PSO algorithm is viewed as a time-invariant linear plant with a time-varying feedback controller that is embedded in the T-S fuzzy state system. The randomly...
This paper describes the results of an application of a PDC type T-S fuzzy control to synchronous machine. The non linear mathematical model for the proposed synchronous machine adopted in this work is described by T-S continuous fuzzy models. Next, the control law for T-S fuzzy control based on PDC design is studied. The stability and the stabilisation of the whole closed-loop model are investigated...
According to the Takagi-Sugeno (T-S) fuzzy control model of the nonlinear system, using non-parallel distributed control law, a new stability criterion condition and the corresponding analysis method was proposed. Based on Lyapunov stability theorem and linear matrix inequality approach, this condition decouples between the Lyapunov variables and the controller variables by introducing an auxiliary...
A new Type-2 fuzzy control is based on Type-1 indirect adaptive fuzzy control, the antecedents and consequents of rules are changed into Type-2 fuzzy sets. In this paper, Type-2 fuzzy sets are used to establish indirect adaptive fuzzy controller and the stability of the controller is discussed, and the convergence of the controller is researched, and plausibility is presented.
This paper designs a fuzzy incremental hierarchical sliding mode controller for a class of under actuated systems. By capturing the physical structure of the class, the hierarchical sliding surfaces with incremental structure are designed as follows. The first-layer sliding surface is firstly defined. Then, the first-layer sliding surface and one of the left states are employed to construct the second-layer...
This paper proposes a fuzzy logic PID based control method for a biomimetic underwater vehicle on swimming speed and yaw angle. The vehicle has a pair of long-fins installed symmetrically on its body. A set of inertial sensors are applied for collecting its velocity and pose information. And an embedded control system and a driving system based on FPGA are designed for generating and switching motion...
This article presents a control solution for the guidance of wheeled convoy units in non-linear trajectories. The proposal consists of a Mamdani fuzzy controller to solve the Decentralized Control problem as applied to a set of units following a leader, whilst guaranteeing the so called "string stability " condition of the convoy. Fuzzy control design is described for each of the follower...
This study proposes the conditions of fuzzy model based H∞ synchronization to synchronize two Chen chaotic systems in finite time T and with pre-specified exponential convergence rate. Let the fuzzy controller be the form of parallel distributed compensation (PDC) and be designed to achieve the finite-time stability for the synchronization error system. The concept of Lyapunov theory, finite-time...
In this paper, the reconstruction error between the real system to be controlled and its T-S fuzzy model is considered in the context of control system design. As a result, an H∞ approach to adaptive controller that consists of two parts: one is obtained by solving certain linear matrix inequalities (LMIs) (fixed part) and another one is acquired by the fuzzy approximator in which the related parameters...
This paper is concerned with stability and stabilization of fuzzy bilinear systems with time-varying delay. First, we consider the stability of the closed-loop systems by assuming a special form of a fuzzy controller. Both delay-independent and delay-dependent stability conditions are obtained. These stability conditions are given in terms of linear matrix inequality (LMIs). Based on these stability...
This paper addresses the stabilization issue based on decentralized Static Output Feedback (SOF) non-Parallel-Distributed-Compensation (non-PDC) controllers for large scale nonlinear descriptors. The overall nonlinear plant is represented by interconnections between n Takagi-Sugeno (T-S) fuzzy descriptors. In order to avoid the appearance of crossing terms between local controllers and T-S subsystems,...
This paper addresses a fuzzy aggregated hierarchical sliding mode control approach for a class of underactuated systems. By capturing the physical nature of the class, an aggregated hierarchical structure of the sliding surfaces is designed. The control law is deduced from the Lyapunov direct method. The stability of the inner sliding surfaces is proven. By fusing the priori knowledge about the class...
Fuzzy adaptive control method for uncertain nonlinear systems with time-delay is introduced in this paper, which can be represented by Takagi-Sugeno (T-S) fuzzy models. The state feedback approach is considered. By introducing a new Lyapunov-Krasovskii functional with adjustable parameters, and based on delay-dependent stability analysis, some sufficient conditions for the existence of state feedback...
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