Robotic and/or surgical devices, systems, and methods include kinematic linkage structures and associated control systems configured to control movement of passive or under-actuated joints by coordinated joint braking of the under-actuated joints concurrent with driving of one or more driven joints. In one aspect, the methods include driving a set-up structure by pivoting an orienting platform supporting multiple manipulators back-and-forth in opposite directions while selectively braking the under-actuated joints to inhibit passive joint movement away from a reference joint state and releasing braking to facilitate movement of the joints toward the reference until each of the under-actuated joints of the multiple manipulators are at the respective reference states. In another aspect, a joint brake controller is provided that receives a motor torque input and converts the input to a brake control input by determining an impulse applied variable braking to deplete the impulse over time.