要比较对象的PowerShell，可以使用以下几种方法：

1. 使用Equals方法进行比较：

$obj1 = "Hello"
$obj2 = "World"

if ($obj1.Equals($obj2)) {
    Write-Host "Objects are equal"
} else {
    Write-Host "Objects are not equal"
}

2. 使用-eq运算符进行比较：

$obj1 = "Hello"
$obj2 = "World"

if ($obj1 -eq $obj2) {
    Write-Host "Objects are equal"
} else {
    Write-Host "Objects are not equal"
}

3. 使用Compare-Object cmdlet进行比较：

$obj1 = "Hello"
$obj2 = "World"

$result = Compare-Object $obj1 $obj2

if ($result.Count -eq 0) {
    Write-Host "Objects are equal"
} else {
    Write-Host "Objects are not equal"
}

4. 对于自定义对象，可以使用属性进行比较：

$obj1 = [pscustomobject]@{
    Name = "John"
    Age = 30
}

$obj2 = [pscustomobject]@{
    Name = "John"
    Age = 30
}

if ($obj1.Name -eq $obj2.Name -and $obj1.Age -eq $obj2.Age) {
    Write-Host "Objects are equal"
} else {
    Write-Host "Objects are not equal"
}

这些方法可以根据具体的需求选择使用，根据对象的类型和属性进行比较。