Abstract
A controller design method based on a quantitative model checking technique is proposed. Controllers have been designed to shape the closed-loop system’s responses to meet certain requirements. We use Linear Temporal Logic for Control (LTLC) [16] to formally describe complex requirements and design a controller to meet the requirements with guidance from model checking results. The technique can help design a controller robust against errors systematically hampering the controller’s efforts. To demonstrate the usefulness of the proposed technique, we exercised several controller design examples with different types of errors.
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Notes
- 1.
We use the term LTI systems for both continuous-time LTI systems and discrete-time LTI systems when the usage is clear from the context.
- 2.
We use the term propositional formula because the semantics of LTLC is interpreted over each computation path where all the variables are assigned with a value.
- 3.
To check the ternary satisfaction relation \(\models \), LTLC model checker has to find accepting runs ending with a loop and examine the feasibility of the runs generated by the Cartesian product of the accepting runs and computation paths ending with a loop of all possible periods.
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Acknowledgement
The authors thank the anonymous referees for their helpful comments. This work was supported by MSIP, Korea under the ICTCCP program (IITP-2017-R0346-16-1007) and by KEIT under the GATC program (10077300).
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Kwon, Y., Kim, E. (2018). Quantitative Model Checking for a Controller Design. In: Gallardo, M., Merino, P. (eds) Model Checking Software. SPIN 2018. Lecture Notes in Computer Science(), vol 10869. Springer, Cham. https://doi.org/10.1007/978-3-319-94111-0_17
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DOI: https://doi.org/10.1007/978-3-319-94111-0_17
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