Unmanned vehicle path planning method based on improved multi-objective particle swarm algorithm
A multi-objective particle swarm and path planning technology, applied in vehicle position/route/height control, motor vehicles, two-dimensional position/course control, etc.
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[0039] 1. Introduction to Theoretical Basis
[0040] 1. Multi-objective optimization problem
[0041]
[0042] where x=(x 1 ,x 2 ,...x n ) is an n-dimensional decision variable, m is the number of objective functions, g(x) function is q inequality constraints of the objective function, h(x) is p equality constraints of the objective function, all these decision variables satisfying the conditions Represented by the set Ω, Y={F(x)|x∈Ω} is the target space. Next are four important definitions for multi-objective problems:
[0043] Definition 1. Pareto domination: solution d, e ∈ Ω, d dominates e, recorded as: Satisfy the following two relations:
[0044]
[0045] Definition 2. Pareto optimal: If x is the Pareto optimal solution, then in Ω, Make established.
[0046] Definition 3. Pareto optimal solution set (PS):
[0047] Definition 4. Pareto front (PF): PF={F(x)│x∈PS}.
[0048] 2. Direction vector
[0049] Let the reference point be R(r 1 ,...,r m ), wh...
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