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This paper presents a PI-fuzzy controller (PIFC) for an energy storage application based on a 28V Li-ion battery. The battery is fed by an isolated bidirectional Phase-Shifted (PS) Dual Active Bridge (DAB) DC-DC converter (270V/28V, 5kW). The main contribution of this work is the application of the closed-loop fuzzy control system to the DAB converter and the stability analysis that has been carried...
The actual paper study a new approach of stability analysis for polynomial fuzzy model (PFM) with delay time. We introduced a polynomial Lyapunov-Krasovskii function to explore the system stability. A new approach is procured to get a feasible solution, which can be solved via SOSTOOLS. Finally, the less conservativeness of the present result is illustrated by numerical examples.
This work investigates the problem of state controller synthesis of switched system with time-varying delay. Based on Lyapunov-krasovskii technique and the average dwell time approach (ADTA), a switched state feedback controller is created such that the system is exponentially stable and a weighted La-gain is accomplished. By solving a set of linear matrix inequalities (LMIs), controller parameters...
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with fixed delay. Using linear programming (LP) technique and by imposing positivity constraint for the closed-loop system. new delay-independent stabilization conditions are derived. using a new single Lyapunov-Krasovskii Functional (LKF). A real plant model is studied to show the applicability of...
This paper investigates the stability problem of large scale nonlinear systems described by the interconnected T-S fuzzy-models. Using an integral Lyapunov functional and adding slack variables, less conservative stability conditions derived in LMIs terms are proposed. Simulation examples are presented to illustrate and to compare the effectiveness of the proposed stability techniques.
This paper studies the problem of asymptotic stability for discrete-time switched T-S fuzzy systems with multiple delays. A novel algebraic criterion is proposed for the delay-independent asymptotic stability of the system, based on semipositivity and M-matrix properties. The major benefit of this technique is that it avoids the problem of computations complexity over LMIs constraints. Two numerical...
This work investigates current control of an isolated bidirectional Phase-Shifted (PS) Dual Active Bridge (DAB) DC-DC converter (270V/28V, 5kW), for an energy storage application based on a 28V Li-Ion Battery. Two control strategies are investigated. First, a nonlinear average-model-based Sliding Mode Controller (SMC) is developed. Then, a model-less Fuzzy Control (FC) is presented and proven to be...
This work concerns different stability approaches for Takagi-Sugeno (T-S) fuzzy systems. We present some recent approaches based on the idea of multiple Lyapunov functions and slack matrices to reduce the conservatism of stability analysis conditions. Then, new stability conditions are proposed in order to more reduce the conservatism using another upper bound of time-derivative of membership functions,...
In this work, delay-independent stability conditions for discrete-time switched fuzzy TS time-delay systems described by delayed difference equations are presented. Vectorial norm approach and M-matrix properties are utilized for the stability analysis. The main benefit of this technique is that it avoids the problem of existence of Lyapunov functions. A numerical example is given to demonstrate the...
This paper deals with the networked decentralized control problem for vehicle dynamics stability. Firstly, the nonlinear roll, sideslip, Yaw model of the vehicle dynamics is represented by an interconnected Takagi-Sugeno (TS) fuzzy model. Secondly, using a fuzzy Lyapunov- Krasovskii functional, asymptotic stability sufficient conditions of vehicle behavior through a decentralized networked control...
This paper is concerned with stability analysis and stabilization of polynomial fuzzy systems with a varying time delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, the less conservatism delay dependent results are presented in terms of Sum Of Squares (SOS) which improve previous works. The proposed SOS-based framework is more innovative and effective than the existing Linear Matrix...
In this paper, we propose a new way to apply a Sum-Of-Squares technic for parameters calculation of Control Lyapunov function to achieve stabilization and optimal control. It permits to develop an optimization algorithm in order to improve the nonlinear optimal robust controller applied to diesel engine which is equipped by Exhaust Gas Recirculation and Variable Geometry Turbocharger. The idea is...
This paper describes a vehicle dynamics fuzzy control design to improve stability and minimize the rollover risk of the vehicle in critical situations. To obtain a robust controller, several aspects that directly affect the behavior of the vehicle have been considered. Nonlinearities of the lateral forces have been considered by using a Takagi–Sugeno (TS) representation, changes in road friction have...
This paper presents a sum of squares (SOS) approach to stability analysis of polynomial fuzzy systems with time-delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, stability conditions are presented in terms of sum of squares in order to reduce the conservatism. The proposed SOS-based framework is more innovative and effective than the existing linear matrix inequality (LMI). The SOS...
This paper deals with the problem of stability and stabilization of Takagi-Sugeno (T-S) fuzzy systems with a fixed delay by linear programming (LP) while imposing positivity in closed-loop. The stabilization conditions are derived using the single Lyapunov-Krasovskii Functional (LKF). An example of a real plant is studied to show the advantages of the design procedure.
This paper focuses on the problem of robust control for Takagi-Sugeno (T-S) fuzzy systems with time-delay. The less conservative conditions are developed by considering a parameter dependent Lyapunov-Krasovskii functional and slack matrix variables. The design conditions are formulated as an LMI (linear matrix inequality) feasibility problem, that can be efficiently solved using convex optimization...
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