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Synthesis of Switching Protocols from Temporal Logic Specifications
Abstract We propose formal means for synthesizing s …
We propose formal means for synthesizing switching protocols that determine the sequence in which the modes of a switched system are activated to satisfy certain high-level specifications in linear temporal logic. The synthesized protocols are robust against exogenous disturbances on the continuous dynamics. Two types of finite tran- sition systems, namely (deterministic) under-approximations and over-approximations (potentially with nondeterministic transitions), that abstract the behavior of the underlying continuous dynamics are defined. In particular, we show that the discrete synthesis problem for an under-approximation can be formulated as a model checking problem, whereas that for an over-approximation can be transformed into a two-player game. Both of these formulations are amenable to efficient, off-the-shelf software tools. By construction, existence of a discrete switching strategy for the discrete synthesis problem guarantees the existence of a continuous switching protocol for the continuous synthesis problem, which can be implemented at the continuous level to ensure the correctness of the nonlinear switched system. Moreover, the proposed framework can be straightforwardly extended to accommodate specifications that require reacting to possibly adversarial external events.
g to possibly adversarial external events.  +
Authors Jun Liu, Necmiye Ozay, Ufuk Topcu and Richard M. Murray  +
Funding Correct-by-Construction Synthesis of Control Protocols for Aerospace Systems +
ID 2011p  +
Source Submitted, 2012 American Control Conference  +
Tag lotm12-acc  +
Title Synthesis of Switching Protocols from Temporal Logic Specifications +
Type Conference Paper  +
Categories Papers
Modification date
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15 May 2016 06:15:56  +
URL
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http://www.cds.caltech.edu/~murray/preprints/lotm12-acc_s.pdf  +
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