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The two concerns with PWMing high side switches are thermal dissipation and timing:
High-side switch devices are built for more DC applications, and while we do support up to 2kHz PWM, the duty cycle is also important as the device requires time to respond to the inputs. Our high side switches are not meant for PWM applications higher than 2kHz.
For these applications greater than 2kHz or outside of the previous recommendations, the customer could use a high side switch plus low side switch combination of devices. Then the HSS can remain ON and provide all the protection features while the low side switch can be used for fast PWMs.
For more information on driving PWM loads with TI high-side switches, check out this app note on the subject.