Effectively Monitoring the Performance of Integrated Process Control Systems under Nonstationary Disturbances

Table 2

Design matrix for MSE and ARL responses.

Run	θ	Shift	Controller	Chart	Signal	MSE	ARL
1	−0.9	0.5	MMSE	MR	X	1.0399	3.3118
2	0.9	0.5	MMSE	MR	X	1.0059	2.9221
3	−0.9	3.5	MMSE	MR	X	2.4003	1.6406
4	0.9	3.5	MMSE	MR	X	1.1816	1.4639
5	−0.9	0.5	PI	MR	X	2.2775	2.3706
6	0.9	0.5	PI	MR	X	2.4249	40.091
7	−0.9	3.5	PI	MR	X	2.5114	1.8625
8	0.9	3.5	PI	MR	X	2.7411	3.1661
9	−0.9	0.5	MMSE	EWMA	X	1.0496	1.022
10	0.9	0.5	MMSE	EWMA	X	1.0057	3.9966
11	−0.9	3.5	MMSE	EWMA	X	3.3105	1.088
12	0.9	3.5	MMSE	EWMA	X	1.6354	7.088
13	−0.9	0.5	PI	EWMA	X	2.2815	1.13847
14	0.9	0.5	PI	EWMA	X	2.9488	12.9762
15	−0.9	3.5	PI	EWMA	X	2.5028	1.288
16	0.9	3.5	PI	EWMA	X	2.7265	2.3726
17	−0.9	0.5	MMSE	MR	e	1.016	44.582
18	0.9	0.5	MMSE	MR	e	1.0142	44.4238
19	−0.9	3.5	MMSE	MR	e	2.9132	3.9047
20	0.9	3.5	MMSE	MR	e	1.2108	4.1644
21	−0.9	0.5	PI	MR	e	2.2805	24.3335
22	0.9	0.5	PI	MR	e	2.4241	49.8283
23	−0.9	3.5	PI	MR	e	2.4768	12.2195
24	0.9	3.5	PI	MR	e	2.5893	44.8057
25	−0.9	0.5	MMSE	EWMA	e	1.0147	47.6678
26	0.9	0.5	MMSE	EWMA	e	1.0142	44.8582
27	−0.9	3.5	MMSE	EWMA	e	2.4802	24.6955
28	0.9	3.5	MMSE	EWMA	e	1.214	1.7545
29	−0.9	0.5	PI	EWMA	e	2.2857	22.2706
30	0.9	0.5	PI	EWMA	e	2.4279	51
31	−0.9	3.5	PI	EWMA	e	2.5011	9.4092
32	0.9	3.5	PI	EWMA	e	2.6726	29.4745