Table 4 Results of the Broyden method calculation.

From: Intelligent control algorithms for posture and height control of four-leg hydraulic supports

Identifier

Coordinates

Initial parameters \({x}^{(0)}\)

Actual value

Calculated result

A

(\({x}_{1}\),\({y}_{1}\))

(2545, 3913)

(2545.5, 2012.1)

(2572.3, 2013.7)

B

(\({x}_{2}\),\({y}_{2}\))

(3940, 3962)

(3940.4, 2061.9)

(3967.2, 2062.1)

C

(\({x}_{3}\),\({y}_{3}\))

(4610, 3920)

(4610.5, 2018.8)

(4637.3, 2019.3)

D

(\({x}_{4}\),\({y}_{4}\))

(5640, 2565)

(6248.1, 1559.4)

(6273.2, 1554.3)

E

(\({x}_{5}\),\({y}_{5}\))

(5881, 2248)

(6632.3, 1451.3)

(6657.2, 1445.1)

J

(\({x}_{6}\),\({y}_{6}\))

(5848, 2070)

(6713.3, 1289.3)

(6737.6, 1282.6)

K

(\({x}_{7}\),\({y}_{7}\))

(6441, 2414)

(6979.1, 1921.3)

(7005.5, 1914)

F

(\({f}_{1}\),\({f}_{2}\))

(3165, 275)

Known Fixed Values

G

(\({g}_{1}\),\({g}_{2}\))

(4095, 255)

Known Fixed Values

H

(\({h}_{1}\),\({h}_{2}\))

(4515, 1160)

Known Fixed Values

I

(\({i}_{1}\),\({i}_{2}\))

(5115, 730)

Known Fixed Values

\(\alpha\)

0.02°

\(\beta\)

3.97°

\(\gamma\)

13°

12.36°

\(\delta\)

25°

24.88°

φ

39°

39.58°

\({H}_{c}\)

2300

2301.6

Computation Time T/s

4.83