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Analytical structure of fuzzy controller has recovered two important issues: why fuzzy controller is useful in application and what relationships are there between fuzzy controller and the most used PID controller. But these existing outcomes are uniformly studied under the conditions that all fuzzy rules are taken the same fuzzy membership degrees. This is not real in some applications since some...
This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based...
This paper studied the stability of Lorenz chaotic system control problem. Adopted fuzzy dynamic model approaching non-linear chaotic system to make non-linear chaotic system into a fuzzy local linear model. Used linear matrix inequalities (LMI) theory to solve the fuzzy controller parameters and the public's positive definite matrix P, set up the conditions for the stability control system. Simulation...
The paper presents using the shuffled frog leaping algorithm (SFLA) to optimally tune parameters of a fuzzy logic controller stabilizing a ball and beam system at its equilibrium position. The SFLA is a meta-heuristic search method inspired from the memetic evolution of a group of frogs when seeking for food. It consists of a frog leaping rule for local search and a memetic shuffling rule for global...
A large-scale multi-agents model is presented. Based on individual local observed information of the swarm, a fuzzy controller of the attraction and repulsion function is built. Combining with the rate consensus algorithm, the swarming of the separation, cohesion and alignment is achieved. By applying the connected network from the individual local perceived information, the aggregation of the multi-agent...
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