diff --git a/skrl/agents/torch/amp/amp.py b/skrl/agents/torch/amp/amp.py
index e5ad4570..45494430 100644
--- a/skrl/agents/torch/amp/amp.py
+++ b/skrl/agents/torch/amp/amp.py
@@ -13,6 +13,7 @@
 from skrl.agents.torch import Agent
 from skrl.memories.torch import Memory
 from skrl.models.torch import Model
+from skrl.resources.schedulers.torch import KLAdaptiveLR
 
 
 # fmt: off
@@ -256,6 +257,7 @@ def init(self, trainer_cfg: Optional[Mapping[str, Any]] = None) -> None:
             self.memory.create_tensor(name="actions", size=self.action_space, dtype=torch.float32)
             self.memory.create_tensor(name="rewards", size=1, dtype=torch.float32)
             self.memory.create_tensor(name="terminated", size=1, dtype=torch.bool)
+            self.memory.create_tensor(name="truncated", size=1, dtype=torch.bool)
             self.memory.create_tensor(name="log_prob", size=1, dtype=torch.float32)
             self.memory.create_tensor(name="values", size=1, dtype=torch.float32)
             self.memory.create_tensor(name="returns", size=1, dtype=torch.float32)
@@ -383,7 +385,10 @@ def record_transition(
             with torch.autocast(device_type=self._device_type, enabled=self._mixed_precision):
                 next_values, _, _ = self.value.act({"states": self._state_preprocessor(next_states)}, role="value")
                 next_values = self._value_preprocessor(next_values, inverse=True)
-                next_values *= infos["terminate"].view(-1, 1).logical_not()
+                if "terminate" in infos:
+                    next_values *= infos["terminate"].view(-1, 1).logical_not()  # compatibility with IsaacGymEnvs
+                else:
+                    next_values *= terminated.view(-1, 1).logical_not()
 
             self.memory.add_samples(
                 states=states,
@@ -509,6 +514,7 @@ def compute_gae(
                 torch.maximum(1 - 1 / (1 + torch.exp(-amp_logits)), torch.tensor(0.0001, device=self.device))
             )
             style_reward *= self._discriminator_reward_scale
+            style_reward = style_reward.view(rewards.shape)
 
         combined_rewards = self._task_reward_weight * rewards + self._style_reward_weight * style_reward
 
@@ -517,7 +523,7 @@ def compute_gae(
         next_values = self.memory.get_tensor_by_name("next_values")
         returns, advantages = compute_gae(
             rewards=combined_rewards,
-            dones=self.memory.get_tensor_by_name("terminated"),
+            dones=self.memory.get_tensor_by_name("terminated") | self.memory.get_tensor_by_name("truncated"),
             values=values,
             next_values=next_values,
             discount_factor=self._discount_factor,
@@ -549,6 +555,7 @@ def compute_gae(
 
         # learning epochs
         for epoch in range(self._learning_epochs):
+            kl_divergences = []
 
             # mini-batches loop
             for batch_index, (
@@ -573,6 +580,12 @@ def compute_gae(
                         {"states": sampled_states, "taken_actions": sampled_actions}, role="policy"
                     )
 
+                    # compute approximate KL divergence
+                    with torch.no_grad():
+                        ratio = next_log_prob - sampled_log_prob
+                        kl_divergence = ((torch.exp(ratio) - 1) - ratio).mean()
+                        kl_divergences.append(kl_divergence)
+
                     # compute entropy loss
                     if self._entropy_loss_scale:
                         entropy_loss = -self._entropy_loss_scale * self.policy.get_entropy(role="policy").mean()
@@ -696,7 +709,15 @@ def compute_gae(
 
             # update learning rate
             if self._learning_rate_scheduler:
-                self.scheduler.step()
+                if isinstance(self.scheduler, KLAdaptiveLR):
+                    kl = torch.tensor(kl_divergences, device=self.device).mean()
+                    # reduce (collect from all workers/processes) KL in distributed runs
+                    if config.torch.is_distributed:
+                        torch.distributed.all_reduce(kl, op=torch.distributed.ReduceOp.SUM)
+                        kl /= config.torch.world_size
+                    self.scheduler.step(kl.item())
+                else:
+                    self.scheduler.step()
 
         # update AMP replay buffer
         self.reply_buffer.add_samples(states=amp_states.view(-1, amp_states.shape[-1]))