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Many Embedded Systems are indeed Software Based Control Systems (SBCSs), thatis control systems whose controller consists of control software running on amicrocontroller device. This motivates investigation on Formal Model BasedDesign approaches for automatic synthesis of SBCS control software. In previousworks we presented an algorithm, along with a tool QKS implementing it, thatfrom a formal model (as a Discrete Time Linear Hybrid System, DTLHS) of thecontrolled system (plant), implementation specifications (that is, number ofbits in the Analog-to-Digital, AD, conversion) and System Level FormalSpecifications (that is, safety and liveness requirements for the closed loopsystem) returns correct-by-construction control software that has a Worst CaseExecution Time (WCET) linear in the number of AD bits and meets the givenspecifications. In this technical report we present full experimental resultson using it to synthesize control software for two versions of buck DC-DCconverters (single-input and multi-input), a widely used mixed-mode analogcircuit.

Quantized Feedback Control Software Synthesis from System Level Formal Specifications for Buck DC/DC Converters