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Formal Analysis of Robustness at Model and Code Level

Authors:

Timothy E. Wang,

Pierre-Loïc Garoche,

Romain Jobredeaux,

Éric FéronAuthors Info & Claims

HSCC '16: Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control

Pages 125 - 134

https://doi.org/10.1145/2883817.2883824

Published: 11 April 2016 Publication History

Abstract

Robustness analyses play a major role in the synthesis and analysis of controllers. For control systems, robustness is a measure of the maximum tolerable model inaccuracies or perturbations that do not destabilize the system. Analyzing the robustness of a closed-loop system can be performed with multiple approaches: gain and phase margin computation for single-input single-output (SISO) linear systems, mu analysis, IQC computations, etc. However, none of these techniques consider the actual code in their analyses.

The approach presented here relies on an invariant computation on the discrete system dynamics. Using semi-definite programming (SDP) solvers, a Lyapunov-based function is synthesized that captures the vector margins of the closed-loop linear system considered. This numerical invariant expressed over the state variables of the system is compatible with code analysis and enables its validation on the code artifact.

This automatic analysis extends verification techniques focused on controller implementation, addressing validation of robustness at model and code level. It has been implemented in a tool analyzing discrete SISO systems and generating over-approximations of phase and gain margins. The analysis will be integrated in our toolchain for Simulink and Lustre models autocoding and formal analysis.

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Cited By

Cavalcante TBessa ILima Filho ECordeiro L(2022)Formal synthesis of non-fragile state-feedback digital controllers considering performance requirements for step responseScientific Reports10.1038/s41598-022-19284-412:1Online publication date: 14-Sep-2022
https://doi.org/10.1038/s41598-022-19284-4
Cavalcante TBessa IFilho ECordeiro L(2020)Formal Non-fragile Verification of Step Response Requirements for Digital State-Feedback Control SystemsJournal of Control, Automation and Electrical Systems10.1007/s40313-020-00575-y31:3(557-573)Online publication date: 5-Feb-2020
https://doi.org/10.1007/s40313-020-00575-y
Chaves LIsmail HBessa ICordeiro Lde Lima Filho E(2019)Verifying fragility in digital systems with uncertainties using DSVerifier v2.0Journal of Systems and Software10.1016/j.jss.2019.03.015153:C(22-43)Online publication date: 1-Jul-2019
https://dl.acm.org/doi/10.1016/j.jss.2019.03.015
Show More Cited By

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Formal Analysis of Robustness at Model and Code Level

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cover image ACM Conferences

HSCC '16: Proceedings of the 19th International Conference on Hybrid Systems: Computation and Control

April 2016

324 pages

ISBN:9781450339551

DOI:10.1145/2883817

Program Chairs:
Alessandro Abate
University of Oxford, UK
,
Georgios Fainekos
Arizona State University, USA

Copyright © 2016 ACM.

Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than the author(s) must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

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Published: 11 April 2016

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HSCC'16: 19th International Conference on Hybrid Systems: Computation and Control

April 12 - 14, 2016

Vienna, Austria

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HSCC '16 Paper Acceptance Rate 28 of 65 submissions, 43%;

Overall Acceptance Rate 153 of 373 submissions, 41%

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Cited By

Cavalcante TBessa ILima Filho ECordeiro L(2022)Formal synthesis of non-fragile state-feedback digital controllers considering performance requirements for step responseScientific Reports10.1038/s41598-022-19284-412:1Online publication date: 14-Sep-2022
https://doi.org/10.1038/s41598-022-19284-4
Cavalcante TBessa IFilho ECordeiro L(2020)Formal Non-fragile Verification of Step Response Requirements for Digital State-Feedback Control SystemsJournal of Control, Automation and Electrical Systems10.1007/s40313-020-00575-y31:3(557-573)Online publication date: 5-Feb-2020
https://doi.org/10.1007/s40313-020-00575-y
Chaves LIsmail HBessa ICordeiro Lde Lima Filho E(2019)Verifying fragility in digital systems with uncertainties using DSVerifier v2.0Journal of Systems and Software10.1016/j.jss.2019.03.015153:C(22-43)Online publication date: 1-Jul-2019
https://dl.acm.org/doi/10.1016/j.jss.2019.03.015
Abate ABessa ICordeiro LDavid CKesseli PKroening DPolgreen E(2019)Automated formal synthesis of provably safe digital controllers for continuous plantsActa Informatica10.1007/s00236-019-00359-1Online publication date: 6-Dec-2019
https://doi.org/10.1007/s00236-019-00359-1
David CKesseli PKroening DLewis M(2018)Program Synthesis for Program AnalysisACM Transactions on Programming Languages and Systems10.1145/317480240:2(1-45)Online publication date: 28-May-2018
https://dl.acm.org/doi/10.1145/3174802
Davy GGarion CGaroche PRoux PThirioux X(2018)Preserving Functional Correctness of Cyber-Physical System Controllers: From Model to Code2018 Forum on Specification & Design Languages (FDL)10.1109/FDL.2018.8524044(5-16)Online publication date: Sep-2018
https://doi.org/10.1109/FDL.2018.8524044
Abate ABessa ICattaruzza DCordeiro LDavid CKesseli PKroening DFrehse GMitra S(2017)Sound and Automated Synthesis of Digital Stabilizing Controllers for Continuous PlantsProceedings of the 20th International Conference on Hybrid Systems: Computation and Control10.1145/3049797.3049802(197-206)Online publication date: 13-Apr-2017
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Abate ABessa ICattaruzza DCordeiro LDavid CKesseli PKroening DPolgreen E(2017)Automated Formal Synthesis of Digital Controllers for State-Space Physical PlantsComputer Aided Verification10.1007/978-3-319-63387-9_23(462-482)Online publication date: 13-Jul-2017
https://doi.org/10.1007/978-3-319-63387-9_23

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