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arXiv · 2002.06494

Compositional Synthesis via a Convex Parameterization of Assume-Guarantee Contracts

Kasra Ghasemi·Sadra Sadraddini·Calin Belta
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Abstract

We develop an assume-guarantee framework for control of large scale linear (time-varying) systems from finite-time reach and avoid or infinite-time invariance specifications. The contracts describe the admissible set of states and controls for individual subsystems. A set of contracts compose correctly if mutual assumptions and guarantees match in a way that we formalize. We propose a rich parameterization of contracts such that the set of parameters that compose correctly is convex. Moreover, we design a potential function of parameters that describes the distance of contracts from a correct composition. Thus, the verification and synthesis for the aggregate system are broken to solving small convex programs for individual subsystems, where correctness is ultimately achieved in a compositional way. Illustrative examples demonstrate the scalability of our method.

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Kasra Ghasemi, Sadra Sadraddini, Calin Belta. 2020-02-16. Compositional Synthesis via a Convex Parameterization of Assume-Guarantee Contracts. https://doi.org/10.1145/3365365.3382212

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