he defect is already present on the steering control unit using the original standard, and all connections.
Even reversing the axes on the joystick the problem persists.
Woody may understand, but I don't.
(1) Is there a separate steering motor that turns the rear wheels left and right? Even if there is a separate steering motor, does the controller also apply differential voltage to the drive wheels to help the steering, or do left and right drive motors get equal voltage even when steering? If the controller does apply differential power to left and right drive wheels, does it do so for both the front and rear pairs, or only the front pair?
Woody's diagram shows the way I imagine you want the chair to turn. What is happening? When you go backwards is it turning opposite of what Woody drew?
For the simplest case, that is if there's a separate steering motor and no differential power to the drive wheels, the steering motor needs to have its polarity reversed when the drive motors are in reverse. If the controller can't be programmed do this, it may be possible to use a diode and DPDT relay to accomplish this. It may, however, be difficult to find a relay, either mechanical or solid state, that could last if it has to reverse full motor current.
For any of the other situations, free-castering rear drive wheels or a steering motor "assisted" by differential power, it will be very important to know exactly what the physical and electrical geometry is before I could even guess at what's going on, and even then I have my doubts about whether I'd have anything useful to suggest.
(2) If the defect was present in whatever the original standard was, why did you expect changing the motors to correct the defect?
The parallel command on the two units was accomplished by withdrawing the signal and sending it to both the joystick.
I also don't understand this. What you wrote reads as though one signal is sent to two joysticks, rather than one signal (from one joystick) being sent to two control modules. Are there two control modules? What are the two control modules doing? Does one control the four wheel motors, and the second control a steering motor? Does one control two wheel motors, and the other control the other two wheel motors? We need a lot more detailed information even to try to help.
Ciao,
Lenny