
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the polar coordinate system, the equation of curve $C$ is $\rho^{2}= \dfrac {3}{1+2\sin ^{2}\theta }$, and the point $R(2 \sqrt {2}, \dfrac {\pi}{4})$.  
(Ⅰ) Taking the pole as the origin and the positive half-axis of the $x$-axis as the polar axis, establish a plane rectangular coordinate system, convert the polar coordinate equation of curve $C$ into a rectangular coordinate equation, and convert the polar coordinates of point $R$ into rectangular coordinates;  
(Ⅱ) Let $P$ be a moving point on curve $C$, with $PR$ as the diagonal of rectangle $PQRS$ whose one side is perpendicular to the polar axis, find the minimum perimeter of rectangle $PQRS$, and the rectangular coordinates of point $P$ at this time.

Present the answer in LaTex format: \boxed{Your answer}
user