SAMPLED-DATA SIMULATION OF CIRCUITS WITH INTERNALLY CONTROLLED SWITCHES - Computer Methods for Analysis of Mixed-Mode Switching Circuits - page 186

The response of the regulator with can be obtained from

When the MOSFET switch turns ON at we reset the

time origin from to It can be shown that

No impulsive network variables will be encountered at the switching
instant. Only the consistent initial conditions exist. The initial con-
ditions can then be updated easily and simulation proceeds forward
to the next clock cycle.

The preceding example exemplifies the procedures of the analysis of
circuits with internally controlled switches, which can be summarized as
follows :

Step 1 At the start of simulation, an initial state is assigned to each inter-

nally controlled switch in the circuit. Simulation starts with a given
initial condition

Step 2 is computed using the sampled-data simulation, along with

the evaluation of the switching variable vector

Step 3 When a sign change of is detected, revealing the switching of an

internally controlled switch in the time interval iteration
algorithms are employed to allocate the exact switching instant
The solution of the circuit at is saved.

Step 4 Determine whether impulsive network variables are generated at the

switching instant by evaluating the integral Also,
the two-step algorithms given in Chapter 5 are employed to compute