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Inverse-adaptive multilayer T-S fuzzy controller for uncertain nonlinear system optimized by differential evolution algorithm. (English) Zbl 1491.93076

Summary: This paper initiatively proposes a novel inverse-adaptive multilayer T-S fuzzy controller (IFC + AF) optimized with differential evolution (DE) soft computing algorithm available for a class of robust control methods applied in uncertain nonlinear SISO and MISO systems. First, a novel multilayer T-S fuzzy model is created by combined multiple simple T-S fuzzy models with a sum function in the output. Then, the parameters of multilayer T-S fuzzy model are optimally identified using DE algorithm to create offline the inverse nonlinear system regarding uncertain system parameters. Second, an adaptive fuzzy-based sliding-mode surface is innovatively designed to guarantee that the closed-loop system is asymptotically stable using Lyapunov stability principle. Moreover, necessary benchmark tests are investigated in MATLAB/Simulink platform, including the spring-mass-damper SMD system and the fluid level of a double tank with uncertain parameters, in order to illustrate the effectiveness and the feasibility of the proposed IFC + AF control scheme. The IFC + AF control algorithm is adequately investigated with various control coefficients and is strictly compared with the advanced adaptive fuzzy control and the inverse fuzzy control (IFC) approaches. Simulation and experiment results are satisfactorily investigated and demonstrate the feasibility and performance of the proposed IFC + AF control method.

MSC:

93C42 Fuzzy control/observation systems
93C10 Nonlinear systems in control theory
93C40 Adaptive control/observation systems
90C59 Approximation methods and heuristics in mathematical programming
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