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Automated Formal Synthesis of Digital Controllers for State-Space Physical Plants
ABATE, A.; BESSA, IURY; CATTARUZZA, D.; CORDEIRO, L. C.; DAVID, C.; KESSELI, P.; KROENING, D.; POLGREEN, E
Resumo
Resumo
We present a sound and automated approach to synthesize safe digital feedback controllers for physical plants represented as linear, time-invariant models. Models are given as dynamical equations with inputs, evolving over a continuous state space and accounting for errors due to the digitization of signals by the controller. Our counterexample guided inductive synthesis (CEGIS) approach has two phases: We synthesize a static feedback controller that stabilizes the system but that may not be safe for all initial conditions. Safety is then verified either via BMC or abstract acceleration; if the verification step fails, a counterexample is provided to the synthesis engine and the process iterates until a safe controller is obtained. We demonstrate the practical value of this approach by automatically synthesizing safe controllers for intricate physical plant models from the digital control literature.
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palavras-chave
Palavras-chave
controller synthesisphysical plantlinear time-invariant systemscounterexample-guided inductive synthesissafety verificationbounded model checkingquantization errorcontinuous state spaces
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Published
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