Could you ssh to the router, and issue those command? The code we use to check the internet status as follow.
wget -t 1 -T 3 --user-agent="Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.9.2.3) Gecko/20100401 Firefox/3.6.3 (.NET CLR 3.5.30729)" -O - http://myip.com.tw/ 2>/dev/null | grep -m 1 -o '[0-9]\{1,3\}\.[0-9]\{1,3\}\.[0-9]\{1,3\}\.[0-9]\{1,3\}'
wget -t 1 -T 3 --user-agent="Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.9.2.3) Gecko/20100401 Firefox/3.6.3 (.NET CLR 3.5.30729)" -O - http://checkip.dyndns.org 2>/dev/null | grep -m 1 -o '[0-9]\{1,3\}\.[0-9]\{1,3\}\.[0-9]\{1,3\}\.[0-9]\{1,3\}'