9.2 Optimal assistive device design
Bowser tripped over a Goomba while gardening and hurt his ankle. He has asked Dr. Mario to design a device that attaches to his leg, with a spring at the ankle to help him walk. Unfortunately, Dr. Mario is a general practitioner and has limited knowledge of orthoses, so he has decided to use an optimizer to help design the device.
(a) Describe a strategy to help Bowser walk, using language and referring to material that has been covered in the course. State which structures you are assuming Bowser has injured. You can assume Bowser's lower-limb anatomy is similar to that of a human.
(b) Propose (but do not solve) an optimization problem that Dr. Mario can use to design the device you described in part (a). Explain each expression in your optimization problem.