Answer Happy

Q2. (a) Global Tech is a company that specialises in the design of next generation technology. You have recently been employed as a graduate design engineer to work as part of a team of engineers to develop a low-cost mobility device for a client. Provide a concise discussion on how you would fulfil this task, including any relevant engineering design approach and desirable objectives. [ 7 marks] Gp(s) R(S) S (s + 2)(s- 25) Figure Q2a C(s) The transfer function of an inverted pendulum plant is shown in Figure Q2a: (b) Using an s-plane graphical sketch and suitable control systems theory, show that the plant's natural response is unstable. [4 marks] In a desperate attempt to stabilise the plant in Figure Q2a, a novice control engineer designed a unity feedback control system that includes a proportional controller, Ge(s) = Ke, connected in cascade to the inverted pendulum plant. (c) With the aid of the root locus technique and the Routh-Hurwitz stability criterion, show that the feedback system is not stable for all positive values of K. [6 marks]