I'm using a tile based collision, but when the game is lagging (the lag isn't the problem) the collision fails and the player falls through tiles.

This is the movement/collision detection code of my Player class:

gravity.y = gspeed;

speed.y+=gravity.y;

position.set(position.x + direction.x * speed.x * deltaSeconds, position.y + direction.y * speed.y * deltaSeconds);

for (int i = (int) Math.round(position.x / 32) - 2 * t; i < (int) Math.round(position.x / 32) + 3 * t; i++)
            {
                for (int j = (int) Math.round(position.y / 32); j < (int) Math.round((position.y + height + 64) / 32); j++)
                {
                    checkCollision(i, j, deltaSeconds);
                }
            }

public void checkCollision(int i, int j, float deltaSeconds)
    {
        bbox.setBounds((int) position.x, (int) position.y, (int) width, (int) height);
        Tile t = null;
        t = Map.getTile(i, j);
        if (t != null)
        {
            if (t.isSolid())
            {
                if (t.getTop().intersects(bbox))
                {
                    if (position.y + height < t.y * 32 + 32)
                    {
                        if (speed.y >= 0)
                        {
                            position.y = t.y * 32 - height;
                            speed.y = 0;
                            gravity.y = 0;
                            jumpState = 0;
                        }

                    }

                }
                if (t.getBottom().intersects(bbox))
                {
                    if (position.y < t.y * 32 + 32)
                    {
                        position.y = t.y * 32 + 32;
                        speed.y = 0;
                    }
                }
                else
                {
                    if (t.getLeft().intersects(bbox))
                    {
                        if (position.x + width > t.x * 32)
                        {
                            position.x = t.x * 32 - width;
                            speed.x = 0;
                        }
                    }
                    if (t.getRight().intersects(bbox))
                    {
                        if (position.x < t.x * 32 + 32)
                        {
                            position.x = t.x * 32 + 32;
                            speed.x = 0;
                        }
                    }
                }
            }

        }
    }

Is it possible to fix my code, if yes how? Or is it possible to tell if the game is lagging?