Abstract
In this article, we study the tools and methodologies for the analysis and design of control systems in the presence of random uncertainty. For analysis, the methods are largely based on the Monte Carlo simulation approach, while for design new randomized algorithms have been developed. These methods have been successfully employed in various application areas, which include systems biology; aerospace control; control of hard disk drives; high-speed networks; quantized, embedded, and electric circuits; structural design; and automotive and driver assistance.
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Alamo T, Tempo R, Camacho E (2009) A randomized strategy for probabilistic solutions of uncertain feasibility and optimization problems. IEEE Trans Autom Control 54:2545–2559
Alamo T, Tempo R, Luque A, Ramirez D (2013) The sample complexity of randomized methods for analysis and design of uncertain systems. arXiv:13040678 (accepted for publication)
Bullo F, Carli R, Frasca P (2012) Gossip coverage control for robotic networks: dynamical systems on the space of partitions. SIAM J Control Optim 50(1):419–447
Calafiore G, Campi M (2006) The scenario approach to robust control design. IEEE Trans Autom Control 51(1):742–753
Calafiore G, Dabbene F, Tempo R (2011) Research on probabilistic methods for control system design. Automatica 47:1279–1293
Chamanbaz M, Dabbene F, Tempo R, Venkataramanan V, Wang Q (2013) Sequential randomized algorithms for convex optimization in the presence of uncertainty. arXiv: 1304.2222
Chernoff H (1952) A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations. Ann Math Stat 23:493–507
Fagnani F, Zampieri S (2008) Randomized consensus algorithms over large scale networks. IEEE J Sel Areas Commun 26(4):634–649
Frasca P, Ravazzi C, Tempo R, Ishii H (2013) Gossips and prejudices: ergodic randomized dynamics in social networks. In: Proceedings of the 4th IFAC workshop on distributed estimation and control in networked systems, Koblenz
Ishii H, Tempo R (2010) Distributed randomized algorithms for the PageRank computation. IEEE Trans Autom Control 55:1987–2002
Knuth D (1998) The art of computer programming. Sorting and searching, vol 3. Addison-Wesley, Reading
Mitzenmacher M, Upfal E (2005) Probability and computing: randomized algorithms and probabilistic analysis. Cambridge University Press, Cambridge
Motwani R, Raghavan P (1995) Randomized algorithms. Cambridge University Press, Cambridge
Tempo R, Ishii H (2007) Monte Carlo and Las Vegas randomized algorithms for systems and control: an introduction. Eur J Control 13:189–203
Tempo R, Bai EW, Dabbene F (1997) Probabilistic robustness analysis: explicit bounds for the minimum number of samples. Syst Control Lett 30:237–242
Tempo R, Calafiore G, Dabbene F (2013) Randomized algorithms for analysis and control of uncertain systems, with applications. Communications and control engineering series, 2nd edn. Springer, London
Tremba A, Calafiore G, Dabbene F, Gryazina E, Polyak B, Shcherbakov P, Tempo R (2008) RACT: randomized algorithms control toolbox for MATLAB. In: Proceedings 17th IFAC world congress, Seoul, pp 390–395
Uryasev SP (ed) (2000) Probabilistic constrained optimization: methodology and applications. Kluwer Academic, New York
Valiant L (1984) A theory of the learnable. Commun ACM 27(11):1134–1142
Vapnik V (1998) Statistical learning theory. Wiley, New York
Vidyasagar M (2001) Randomized algorithms for robust controller synthesis using statistical learning theory. Automatica 37:1515–1528
Vidyasagar M (2002) Learning and generalization: with applications to neural networks, 2nd edn. Springer, New York
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Dabbene, F., Tempo, R. (2014). Randomized Methods for Control of Uncertain Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_133-2
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_133-2
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Latest
Randomized Methods for Control of Uncertain Systems- Published:
- 29 January 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_133-3
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Randomized Methods for Control of Uncertain Systems
- Published:
- 10 October 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_133-2
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Original
Randomized Methods for Control- Published:
- 07 February 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_133-1