How to avoid a high number of requests for avoiding Amazon AWS EC2 instance AutoScalin?
First of all, the number of connections is not a common metric to use for autoscaling. Much more common is CPU utilization or possibly the amount of network traffic.

If you are happy with the performance of your application at a certain utilization level, you can modify the corresponding alarms configured in the auto-scaling group, so that autoscaling happens only at higher levels of your metric.

Secondly, you can limit auto-scaling to a certain number of instances. When this number is reached, no further scaling will occur.

Finally, if your traffic has a significant proportion of GET requests, it may be easiest to ensure caching headers are set appropriately and traffic is routed through a CloudFront distribution before it reaches the load balancer. This will likely eliminate most of the GET requests from the load balancer altogether.