Unfortunately, Palpatine planning that scene in any way, shape or form is stupid in the extreme.
Right.
I never argued that he
did. I am simply offering that he
could. While Palpatine certainly isn't even a perfect schemer, his "understanding of people's weaknesses" (as Jacen Solo would describe it circa 40 ABY) are extraordinarily refined; while Mace Windu can compete and best Darth Sidious on a physical level, there really isn't any close competition intellectually. He was an unknowing instrument for decades, as were all of the Jedi. Add to the fact that we
know he was aware that Anakin was going to inform the Jedi Council, he had ample time to concoct a scheme to bring Anakin
back to the Chancellor's office in time to force his hand against Windu.
It is heavily implied that Palpatine communicated with Anakin via telepathy as Anakin sat alone in the Council chambers, distraught and terrified as to his choice; given that the voice-over line by Ian McDiarmid is not a repeat of any line spoken during Anakin's confrontation with him, it is the only reasonable conclusion.
Add to the fact that the novelization confirms that Palpatine felt the Jedi's presence encroaching upon his office, we have simple facts that would have likely allowed Palpatine to manipulate such a situation. I do believe it was easily within his capabilities.
But, not knowing the intricate nature of Vaapad, perhaps he was overconfident in his own abilities and simply assumed he could dispatch the Jedi.