An LPV Fractional Model for Canal Control

Table 5

Model parameters obtained by identification in each operating Point 𝑂𝑃_𝑘𝑃2: pool 𝑃₂ (cont.)

Parameters	𝑂𝑃6𝑃2	𝑂𝑃7𝑃2	𝑂𝑃8𝑃2
𝜏	5	4	3
𝑎1	−1.8826	−1.8804	−1.8697
𝑎2	0.8907	0.8891	0.8791
𝑎3	0.0081	0.0088	0.0094
𝑎4	0.0309	0.0447	0.0720
𝑏1	0.1722	0.2216	0.0919
𝑏2	−0.0398	−0.0470	−0.0235
𝑏3	0.0434	0.0509	0.0437
𝑏4(×10^−3)	0.3951	0.4421	0.2546
𝑏5	722.21	566.36	757.35
𝑏6	−515.24	−476.59	−674.80
𝑏7	133.11	136.39	203.67
𝑐1	−2.2296	−2.3769	−2.4777
𝑐2	2.2776	2.6077	2.8311
𝑐3	−1.3542	−1.6760	−1.8925
𝑐4	0.5203	0.6903	0.8029
𝑐5	−0.1375	−0.1888	−0.2194
𝑐6	0.0282	0.0369	0.0390
𝑐7	−0.0050	−0.0059	−0.0048
𝑐8(×10^−3)	0.7180	0.7576	0.4943
𝑐9	5.6247	3.8395	13.4920
𝑐10	2.3606	2.4912	−11.8110
𝑐11	−2.0125	−1.2561	−1.2178
𝑐12	−3.8188	−3.8690	7.8987
𝑐13	0.1248	−0.6176	−8.5361
𝑐14	5.8407	6.5926	8.5167
𝑐15	−4.1413	−4.4149	−4.4914