What fuse controls the ESP?

TIPM - totally integrated power module more then likely . Unless your up on control module diagnostic's , your best bet take it to a qualified repair shop.
http://www.chryslerproblems.com/tipm/

Hello Rick, ESP On constantly: The ESP light may be constantly lit if the "ESP off" button was pressed. The ESP can be reactivated by switching off the ignition and then on again. If the ESP light goes off, the system is fully functional. Check you owners manual to confirm the above procedure.

An Electronic Stability Program (ESP)/Brake Assist System (BAS) indicator is standard equipment on all instrument clusters. The ESP/BAS indicator is serviced as a unit with the instrument cluster.
The ESP/BAS indicator gives an indication to the vehicle operator when the Electronic Stability Program (ESP)/Brake Assist System (BAS) has been activated. This indicator is controlled by a transistor on the instrument cluster circuit board based upon cluster programming and electronic messages received by the cluster from the Controller Antilock Brake (CAB) and the Transmission Control Module (TCM) over the Controller Area Network (CAN) data bus.
The ESP/BAS indicator Light Emitting Diode (LED) is completely controlled by the instrument cluster logic circuit, and that logic will only allow this indicator to operate when the instrument cluster receives a battery current input on the fused ignition switch output (run-start) circuit. Therefore, the LED will always be OFF when the ignition switch is in any position except ON or START. The LED only illuminates when it is provided a path to ground by the instrument cluster transistor. The instrument cluster will turn ON the ESP/BAS indicator for the following reasons:

1. Bulb Test- Each time the ignition switch is turned to the ON position the ESP/BAS indicator is illuminated for about four seconds as a bulb test.
2. ESP/BAS Indicator Lamp-On Message- Each time the cluster receives an electronic ESP/BAS indicator lamp-ON message from the CAB indicating that the ESP/BAS system has been activated, the ESP/BAS indicator will be illuminated. The indicator remains illuminated until the cluster receives a lamp-OFF message from the CAB, or until the ignition switch is turned to the OFF position, whichever occurs first.
3. ESP Full Off Textual Message- Each time the cluster receives an electronic ESP Full OFF indicator lamp-ON message from the CAB indicating that the ESP/BAS system has been manually disabled, an ESP OFF textual message will appear within the cluster odometer display. The ESP OFF textual message remains displayed until the cluster receives a lamp-OFF message from the CAB, or until the ignition switch is turned to the OFF position, whichever occurs first.
4. Actuator Test- Each time the cluster is put through the actuator test, the ESP/BAS indicator will be turned ON, then OFF again during the bulb check portion of the test to confirm the functionality of the LED and the cluster control circuitry.

The CAB continually monitors the ESP/BAS circuits and sensors to decide whether the system is in good operating condition and the proper outputs to the components of the system. The CAB then sends the proper lamp-ON or lamp-OFF message to the Electro Mechanical Instrument Cluster (EMIC) (also known as the Cab Compartment Node/CCN).
For proper diagnosis of the ESP/BAS system, the CAB, the TCM, the EMIC, the CAN data bus or the electronic communication related to the ESP/BAS indicator operation a diagnostic scan tool is required. Refer to the appropriate diagnostic information.

Think I found the solution or a thread discussing your Fault Code at Jeep Forum (Jeep patriot abs,4wd,esp,Trac control lights on after replacing rear wheel bearing) Jeep patriot abs 4wd esp Trac control lights on after replacing rear wheel...

Most Likely just a blown fuse. It's normal to put that on another system fuse, like the hazard or AC fuse.

location not stated, or road conditions. nor if in 4low , nor if the ESP switch is off or on. Ask Suzuki for help (lol) or any ASE shop.

it's not magic, it can not give traction , if none.
on ice slow down. (esp can do that too. slow you,brake you and even
shift gears in the transmission)

are you in 4wd? or high 4Low, esp is inactive. (or limited)
read the operators guide. (if lost, get one now)
read the page on driving on ice.
chapters 5,6,7.
have you had any off these conditions , related to ESP, this a
is the ESP light acting wrong, or CEL check engine light running?
are all dash lamps (warning) showing correctly per the opr. guide?
ESP & ABS are vary complex, (not magic)


quote from the servise manual. (car battery dead or disconnected?)
ESP control module
When ESP control module is removed / installed, do
not use impact wrenches which generate shock or
impact to avoid damaging sensors in ESP control
module.
Note that Calibrate word here..!
When any of the following operation is done, calibrate
steering angle sensor, G sensor and master cylinder
pressure sensor (in ESP control module) referring to
"Sensor Calibration in Section 4F
- When battery or dome fuse is removed. (a low battery or weak)
- When steering angle sensor is replaced.
- When ESP control module is removed.
- When yaw rate / G sensor assembly is removed.


read this, it covers this system well,

http://www.wkjeeps.com/wk_esp.htm

read page 7-2 here (the do not drive words)
http://www.autodealertools.com/quickQuote/manuals/2007/Grand%20Vitara.pdf

this car has no center differential. (read limits there of)
are you using chains on the tires?
oper guide page 4-6 , read that yet?

If the vehicle speed is greater thanapproximately 30 km/h (19 mph), the ESP systems (other than ABS) will turn
on automatically and the light will go out.
• When the transfer switch (if equipped) is
turned to the "4L LOCK" position, the
ESP systems (other than ABS) will be canceled automatically. The light will come on and stay on.
• If the ESP systems operate continu-ously such as when driving on slippery roads, the traction control functions of the ESP systems may be canceled temporarily to avoid overheating the brake pads, and the light will come on. After a short period of time, the ESP.

(this latter cut out happens, with wild driving)

Do you mean that the light with the car and skid-marks is constantly on? If it is not blinking this means that the ESP in your car is not on. It doesn't mean that it is constantly on. If the stability protection isn't working it's likely a problem associated with your ABS system. The car should run fine without traction control but if you absolutely need it I would suggest taking it into the dealership and having them take a look.

If the ESP light on the touran stayys on pernamently then it is extremely likely that the ABS control unit is faulty. Its a common problem with tourans, unfortunately the part alone is about £1000.

This is the indicator for ESP (stability control). If you look on your dash, you'll see a button with, you guessed it, ESP written on it. This allows you to turn your stability control on and off. If your light is on constantly, try pushing the ESP button. If it flashes on and off (ie during hard driving) this simply means it is working.

Sounds like you have blown the fuse to this circuit.
Check you were supplied the correct bulb and replace fuse.