Research Article
A Hybrid PID-Fuzzy Control for Linear SISO Systems with Variant Communication Delays
Table 2
Experimental study analysis.
| | Settling time(s) | Overshoot (%) | Steady state error (%) | | Oy | Oy | Oy |
| | PID (fixed delay) | | | | | τ = 0.0 sec (E) | 3.8 | 0.0 | 0 | | τ = 0.4 sec (E) | 3.2 | 3.9 | 0 | | τ = 0.6 sec (E) | 5.0 | 10.2 | 0 | | τ = 1.0 sec (E) | 11.6 | 31.5 | 0 | | τ = 1.4 sec (E) | 44.0 | 49.3 | 0 | | τ = 1.8 sec (E) | unstable | | τ = 2.0 sec (E) | unstable | | PID and fuzzy (fixed delay) | | | | | τ = 0.0 sec (E) | 4.4 | 0.0 | 0 | | τ = 0.4 sec (E) | 4.0 | 0.0 | 0 | | τ = 0.6 sec (E) | 4.0 | 0.1 | 0 | | τ = 1.0 sec (E) | 6.4 | 6.2 | 0 | | τ = 1.4 sec (E) | 7.8 | 7.5 | 0 | | τ = 1.8 sec (E) | 6.8 | 0.0 | 0 | | τ = 2.0 sec (E) | 7.0 | 0.0 | 0 | | PID (variant delay) | | | | | E1 ( = 2.0 sec) | 3.2 | 3.1 | 0 | | E2 ( = 2.0 sec) | 16.8 | 30.9 | 0 | | E3 ( = 2.0 sec) | 13.2 | 34.5 | 0 | | E4 ( = 2.0 sec) | 14.8 | 27.5 | 0 | | E5 ( = 2.0 sec) | 9.6 | 24.6 | 0 | | E6 ( = 2.0 sec) | 9.0 | 36.3 | 0 | | E7 ( = 2.0 sec) | 11.4 | 42.8 | 0 | | PID and fuzzy (variant delay) | | | | | E1 ( = 2.0 sec) | 5.4 | 1.9 | 0 | | E2 ( = 2.0 sec) | 8.4 | 14.2 | 0 | | E3 ( = 2.0 sec) | 8.2 | 17.6 | 0 | | E4 ( = 2.0 sec) | 8.2 | 8.6 | 0 | | E5 ( = 2.0 sec) | 4.6 | 2.1 | 0 | | E6 ( = 2.0 sec) | 6.2 | 0.0 | 0 | | E7 ( = 2.0 sec) | 4.2 | 2.3 | 0 |
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