Research Article

Multi-Innovation Stochastic Gradient Parameter and State Estimation Algorithm for Dual-Rate State-Space Systems with -Step Time Delay

Table 5

The parameter estimates and errors with .

Algorithms

SG (MISG, )100−0.01550−0.154700.04028−0.062650.02094−0.016300.52050−0.3456549.20737
200−0.00846−0.161140.03142−0.059000.02910−0.023020.53817−0.3816546.04580
500−0.02283−0.164250.04190−0.075130.04531−0.032150.57022−0.4274441.04400
1000−0.02246−0.169470.04135−0.075210.05323−0.034290.58828−0.4595038.05525
2000−0.02481−0.175220.04532−0.078760.06177−0.037690.60570−0.4859435.31488
3000−0.02492−0.179670.04580−0.080540.06861−0.040990.61533−0.5007933.76525

MISG, 100−0.00070−0.099010.08115−0.115490.07387−0.053780.68241−0.5152130.88244
2000.01133−0.110980.06966−0.109750.08403−0.060430.69602−0.5626527.17174
5000.00040−0.124740.08572−0.128220.10703−0.071770.72361−0.6097722.19946
10000.00665−0.134820.08321−0.122540.11560−0.070750.73290−0.6420519.67043
20000.00802−0.145270.08971−0.124750.12278−0.072320.74507−0.6665317.34685
30000.00917−0.152330.09273−0.126660.12873−0.074270.75100−0.6789816.12797

MISG, 100−0.02959−0.139140.19948−0.015310.08421−0.153410.76481−0.7327912.99066
200−0.01861−0.153410.18733−0.014750.09415−0.149510.76310−0.7804010.55685
500−0.02916−0.179500.20785−0.045990.13403−0.166180.79390−0.783716.83573
1000−0.01718−0.187740.19516−0.032220.14082−0.153780.78631−0.795426.02358
2000−0.01503−0.198040.20265−0.038260.14446−0.149830.79412−0.799445.03453
3000−0.01509−0.205010.20834−0.044620.14803−0.148640.79741−0.800054.46176

True values−0.01000−0.220000.19000−0.080000.16000−0.120000.80000−0.80000