Table 4 Poles and damping ratio of optimization techniques using PID controller.

From: Enhancement of AVR system performance by using hybrid harmony search and dwarf mongoose optimization algorithms

HS-DMOA-PID

Pole

-100

-3.96 + 4.80i

-2.91-5.28i

-2.52 + 0.32i

-0.295

Damping ratio

1

0.6361

0.6361

0.9918

0.9918

LUS6

Pole

-102

-5.03-14.7i

-5.03-14.7i

-0.5 + 0.88i

-0.5 + 0.88i

Damping ratio

1

0.323

0.323

0.502

0.502

HSA6

Pole

-103

-5.04 + 15.1i

-5.04 + 15.1i

-0.45 + 0.85i

-0.45 + 0.85i

Damping ratio

1

0.316

0.316

0.465

0.465

TLBO-PID6

Pole

-102

-5.02 + 14.7i

-5.02-14.7i

-0.52 + 0.86i

-0.52-0.86i

Damping ratio

1

0.323

0.323

0.511

0.511