Numerical Simulation of Fractional Control System Using Chebyshev Polynomials

Table 1

Absolute errors for the numerical and analytical results.

Time (seconds)	Analytical results
0.1	-0.9900	4.2619269e-4	8.7631391e-6	1.9898239e-7
0.2	-0.9600	5.3938108e-4	7.8927198e-6	1.7497499e-7
0.3	-0.9100	6.8319833e-4	5.3619996e-6	2.4727493e-7
0.4	-0.8400	5.87172528-4	3.6391397e-6	2.8979387e-7
0.5	-0.7500	6.8719873e-5	2.3701310e-5	4.9839739e-7
0.6	-0.6400	7.3264873e-4	2.8748927e-5	5.3773098e-6
0.7	-0.5100	7.7838719e-4	3.9210200e-5	7.3937910e-6
0.8	-0.3600	8.3719731e-4	3.7101706e-5	5.3793700e-7
0.9	-0.1900	9.3871937e-4	4.2171077e-5	6.3897193e-6
1.0	0	8.6152715e-4	5.8973427e-5	7.6386329e-7