Research Article

A Modified Unscented Kalman Filter Combined with Ant Lion Optimization for Vehicle State Estimation

Table 1

The five test functions.

FunctionFunction expressionRangeGlobal optimal

Schaffer[−10, 10]minf(x) = f (0, 0) = 0
Griewank[−10, 10]minf(x) = f (0, …, 0) = 0
Ackley[−10, 10]minf(x) = f (0, …, 0) = 0
Braninx1[−5, 10]minf(x) = 0.397887
x2[0, 15]xmin = (−, 12.275), (, 2.275), (9.425, 2.475)
Six-Hump Camelback[−3, 3]minf(x) = 1.0316
xmin= (0.0898, −0.7126),
(−0.0898, 0.7126)

Note: D is set to 2 in this paper.