I believe it's not obvious at first sight if and how the circuit is operating as MPPT controller.
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"Not obvious" means that the supplemented explanation is urgently needed. I understand your question in the way, that you don't understand how the circuit operates? Otherwise you would answer the question yourself.
So it is not possible to charge a battery?
I hope the question is answered in the link.
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It seems to me that the controller can only provide a kind of hysteretic control, switching the pwm on and off. Or it must rely on a well calculated amount of pwm residuals in input voltage and current feed through to the FF input. This looks like a rather unsure method to me. I guess, the authors tuned circuit parameters untik they achieved a "good-looking" result.
Unfortunately there are no quantitative data of the analog signal processing chain, so you have to start almost from the scratch when designing the circuit.
Needless to say, that the circuit doesn't yet include battery voltage or current control. It's apparently assuming that the maximal output current can be handled by the battery. End-of-charge cut-off must be implemented though.
All-in-all, it's an interesting attempt to make a purely analog MPPT controller. It can be most likely improved. I assume that a dedicated PP modulation oscillator and true PWM should be considered for a good controller. Obviously, it can be more easily implemented digitally these days.