System, apparatus and methods for controlling multiple output converters

A power converter system comprising:

• a multiple output boost converter, further comprising an inductor connected to a first polarity of a source voltage u0, the inductor further connected to a switch S at a first node, the switch S connected to a second polarity of the voltage source u0 at a second node, the inductor having inductance L with parasitic resistance RS, a plurality of parallel capacitive circuits connected by a plurality of switches between the first node and the second node, each parallel capacitive circuit i in the plurality of parallel capacitive circuits including a capacitor of capacitance Ci and capacitive resistance RCi and a load resistor of resistance Ri connected in parallel across the capacitor of capacitance Ci;
• the multiple output boost converter having a plurality of output voltages y taken from the plurality of parallel capacitive circuits;
• an inductor current x1 through the inductor;
• a reference voltage source having a plurality of reference voltages y0;
• and
• a PWM controller comprising:
• a summing circuit connected to the plurality of output voltages y and the plurality of reference voltages y0 configured to create a plurality of difference voltages (y−y0);
• a gain circuit connected to the summing circuit to adjust the plurality of difference voltages to arrive at a plurality of conditioned voltages K(y−y0) according to a gain matrix K;
• and,
• a modulating circuit connected to the gain circuit and the plurality of switches, and configured to sense the source voltage u0, the plurality of output voltages y, the inductor current x1 and the plurality of reference voltages y0 to create a plurality of control signals to control the multiple output boost converter, wherein the plurality of control signals provides leading-edge modulation of the plurality of switches with input-output linearization that is based on u0, y, y0, x1, and K(y−y0), where the plurality of control signals have a plurality of duty ratios d defined by the vector:
• d=−β−1[K(y−y0)−α];
• where the matrix β, its inverse matrix β−1 and the vector α are determined by Cuk-Middlebrook state space averaging of the equations of state for y and x1.

A power converter system comprising:

• a multiple output buck-boost converter, further comprising a switch S connected to a first polarity of a source voltage u0, the switch S further connected to an inductor at a first node, the inductor connected to a second polarity of the voltage source u0 at a second node, the inductor having inductance L with parasitic resistance RS, a plurality of parallel capacitive circuits connected in series with a plurality of switches between the first node and the second node, each parallel capacitive circuit i in the plurality of parallel capacitive circuits including a capacitor of capacitance Ci and capacitive resistance RCi and a load resistor of resistance Ri connected in parallel across the capacitor of capacitance Ci;
• the multiple output buck-boost converter having a plurality of output voltages y taken from the plurality of parallel capacitive circuits;
• an inductor current x1 through the inductor;
• a reference voltage source having a plurality of reference voltages y0;
• and
• a PWM modulator/controller comprising:
• a summing circuit connected to the plurality of output voltages y and the plurality of reference voltages y0 configured to create a plurality of difference voltages (y−y0);
• a gain circuit connected to the summing circuit to adjust the plurality of difference voltages to arrive at a plurality of conditioned voltages K(y−y0) according to a gain matrix K;
• and,
• a modulating circuit connected to the gain circuit and the plurality of switches, and configured to sense the source voltage u0, the plurality of output voltages y, the inductor current x1 and the plurality of reference voltages y0 to create a plurality of control signals to control the multiple output buck-boost converter, wherein the plurality of control signals provides leading-edge modulation of the plurality of switches with input-output linearization that is based on u0, y, y0, x1, and K(y−y0), where the plurality of control signals have a plurality of duty ratios d defined by the vector:
• d=−β−1[K(y−y0)−α];
• where the matrix β, its inverse matrix β−1 and the vector α are determined by Cuk-Middlebrook state space averaging of the equations of state for y and x1.