Problem 1 The linearized dynamic model of a inverted pendulum are given by where a i,l' with ri=() pendulum angle r pendulum angular velocity ue voltage on d e motor driving the pendulum 3...
Problem 1 An inverted pendulum driven by a d-c motor is governed by the following differential and algcbraic equa tions: (a) Determine the transfer function of the process. (b) It is proposed to control the process using "proportional control": where yr is a constant reference value. Determine the value Kmir for which the gain K must exceed in order that the closed-loop system be stable. (c) Determine the value of K for which the magnitude of the error is less...