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Automated formal synthesis of provably safe digital controllers for continuous plants
Acta Informatica ( IF 0.900 ) Pub Date : 2019-12-06 , DOI: 10.1007/s00236-019-00359-1
Alessandro Abate, Iury Bessa, Lucas Cordeiro, Cristina David, Pascal Kesseli, Daniel Kroening, Elizabeth Polgreen

We present a sound and automated approach to synthesizing safe, digital controllers for physical plants represented as time-invariant models. Models are linear differential equations with inputs, evolving over a continuous state space. The synthesis precisely accounts for the effects of finite-precision arithmetic introduced by the controller. The approach uses counterexample-guided inductive synthesis: an inductive generalization phase produces a controller that is known to stabilize the model but that may not be safe for all initial conditions of the model. Safety is then verified via bounded model checking: if the verification step fails, a counterexample is provided to the inductive generalization, and the process further iterates until a safe controller is obtained. We demonstrate the practical value of this approach by automatically synthesizing safe controllers for physical plant models from the digital control literature.

更新日期:2020-04-20

 

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