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The direct heuristic dynamic programming (HDP) is used to handle the optimal tracking control for the Henon Mapping chaotic system. The fuzzy logic system (FLS) is applied to measure the long-term utility function. Lyapunov analysis approach is utilized to assure the stability of the chaotic system. Results have proven that the tracking error, the adaptation law and the control input of the system...
To solve the premature problem of particle swarm optimization, firstly, the dynamic nonlinear inertia weights are designed which can make particles retain the favorable conditions and converge to the global optima continually; secondly, two kinds of anti-mistake equations are introduced which can make the stagnated particles break away from the local optima and dynamically search the global optima;...
To solve the premature convergence problem of particle swarm optimization, two novel methods are introduced to adjust the inertia weight in parallel according to different fitness values of two dynamic sub-swarms. When the fitness values of the particles are worse than the average, the inertia weight is adjusted by the introduced dynamic piecewise linear chaotic map which can make the local-optima...
Two new methods are introduced to modify the velocity in particle swarm optimization cooperatively: when the fitness values of some particles are worse than the average, the dynamic Zaslavskii chaotic map is devised to modify the velocity, which can make particles break away from the local optima and search global optima dynamically in very complex environments. On the contrary, when the fitness values...
To solve the premature convergence problem of particle swarm optimization, two novel methods are introduced to adjust the inertia weight in parallel according to different fitness values of two dynamic sub-swarms. When fitness values are better than or equal to the average, two types of dynamic nonlinear equations are proposed to adjust the inertia weight in a continuous convex area which can retain...
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