A system is characterized by the following state-space equations:

a) Find the transfer function of the system

b) Compute the state-transition matrix/p>

a) Solve the state equation for a unit-step input under zero initial conditions

The transfer function of a simple RC network functioning as a controller is: $${G_c}(s) = {{s + {z_1}} \over {s + {p_1}}}$$

The condition for the RC network to act as a phase lead controller is:

An electromechanical closed-loop control system has the following characteristic equation $$s^3+6Ks^2+\left(K+2\right)s+8\;=\;0$$, where K is the forward gain of the system.The condition for closed loop stability is

The steady state error of a stable 'type 0' unity feedback system for a unit step function is