Question

2-a)-RLC components connected in series in a circuit supplied by a variable dc voltage can be described by the following differential equations: di(t) wherei@ is the loop current and V1(t) İs the voltage drop across the inductor.+' The voltage drop across the resistor is given by Ohm's law vR(t) R i(t) and the voltage drop across the capacitor vc(t) is given by i(t) dt For a series circuit ye)t vit)t velt) v(t) where v(t) is applied voltage: Figure 3: RLC connected in series circuit» ' > )» Represent the above equations using state-space form as continuous time state and 10» * output equations, where the output is chosen such that yt) -i(t) and the system input is u(t)- v(t). * ii)- Given that: +' t(t) = A x(t) + Bu(t)- andw y(t) Cx(t) loop zeros are given by the solutions for s in:

Answer 1

sen data ooldo เท่ dt fon Serue> c at

stato eq t ou

ST-A