This script six inputs which are used to setup NSX Controller syslog option, which has to be done via API calls

Set-NSXControllerSyslog.ps1

Param(
  [string]$username,
  [string]$NSXFQDN,
  [string]$SyslogServer,
  [string]$SyslogPort,
  [string]$SyslogProtocol,
  [string]$SyslogLevel
)
$Secpw = Read-Host -AsSecureString -Prompt "Password"
#^End of variables

#SSL certificate trust
add-type @"
     using System.Net;
     using System.Security.Cryptography.X509Certificates;
     public class TrustAllCertsPolicy : ICertificatePolicy {
         public bool CheckValidationResult(
             ServicePoint srvPoint, X509Certificate certificate,
             WebRequest request, int certificateProblem) {
             return true;
         }
     }
"@
[System.Net.ServicePointManager]::CertificatePolicy = New-Object TrustAllCertsPolicy
#^End of SSL certificate trust

#Convert username and password to basic auth
$auth    = [System.Convert]::ToBase64String([System.Text.Encoding]::UTF8.GetBytes($username + ":" + ([System.Runtime.InteropServices.Marshal]::PtrToStringAuto([System.Runtime.InteropServices.Marshal]::SecureStringToBSTR($secpw)))))
#^End of Convert username and password to basix auth

#Get a list of NSX Controller(s) id(s)
$Controllers = (Invoke-RestMethod -Method Get -Uri "https://$NSXFQDN/api/2.0/vdn/controller" -Headers @{'Content-Type'='application/xml';'Authorization' = "Basic $auth"}).controllers.controller.id
#^End of Get a list of NSX Controller(s) id(s)

#API Call Payload
$body = @"
<controllerSyslogServer>
     <syslogServer>$SyslogServer</syslogServer>
     <port>$SyslogPort</port>
     <protocol>$SyslogProtocol</protocol>
     <level>$SyslogLevel</level>
</controllerSyslogServer>
"@
#^End of API Call Payload

#Run through all controller(s) and test if already configured or else configure it.
Foreach($Controller in $Controllers){
$Resp = ""
#Test if a configuration exists
try { $NSXResp = Invoke-RestMethod -Method Get -Uri "https://$NSXFQDN/api/2.0/vdn/controller/$Controller/syslog" -Headers @{'Content-Type'='application/xml';'Authorization' = "Basic $auth"}} catch { $Resp = $_.Exception.Response }

#If configuration is NullOrEmpty, setup the NSX Controller with the correct configuration and output the new configuaration
#or else just output the configuration
if(!([string]::IsNullOrEmpty($Resp))){
$NSXResp = Invoke-RestMethod -Method Post -Uri "https://$NSXFQDN/api/2.0/vdn/controller/$Controller/syslog" -Headers @{'Content-Type'='application/xml';'Authorization' = "Basic $auth"} -Body $body
if(($NSXResp = Invoke-RestMethod -Method Get -Uri "https://$NSXFQDN/api/2.0/vdn/controller/$Controller/syslog" -Headers @{'Content-Type'='application/xml';'Authorization' = "Basic $auth"})){
Write-Host "Syslog has been configured on"$Controller
Write-Host "Syslog is set to"$NSXResp.controllerSyslogServer.syslogServer"on port"$NSXResp.controllerSyslogServer.Port"using"$NSXResp.controllerSyslogServer.Protocol"and logging level set to"$NSXResp.controllerSyslogServer.level"for"$Controller""
}else{
Write-Host "ERROR! Controller not configured"$Controller
}
}else{
Write-Host "Syslog is set to"$NSXResp.controllerSyslogServer.syslogServer"on port"$NSXResp.controllerSyslogServer.Port"using"$NSXResp.controllerSyslogServer.Protocol"and logging level set to"$NSXResp.controllerSyslogServer.level"for"$Controller""
}

}