{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T21:47:45Z","timestamp":1766440065441,"version":"3.37.3"},"publisher-location":"Cham","reference-count":42,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319976273"},{"type":"electronic","value":"9783319976280"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-97628-0_2","type":"book-chapter","created":{"date-parts":[[2018,7,25]],"date-time":"2018-07-25T10:24:03Z","timestamp":1532514243000},"page":"15-26","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A Probabilistic Interpretation of PID Controllers Using Active Inference"],"prefix":"10.1007","author":[{"given":"Manuel","family":"Baltieri","sequence":"first","affiliation":[]},{"given":"Christopher L.","family":"Buckley","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,7,26]]},"reference":[{"issue":"4","key":"2_CR1","doi-asserted-by":"publisher","first-page":"723","DOI":"10.1016\/j.jtbi.2010.07.034","volume":"266","author":"J Ang","year":"2010","unstructured":"Ang, J., Bagh, S., Ingalls, B.P., McMillen, D.R.: Considerations for using integral feedback control to construct a perfectly adapting synthetic gene network. J. Theor. Biol. 266(4), 723\u2013738 (2010)","journal-title":"J. Theor. Biol."},{"key":"2_CR2","unstructured":"Urquizo, A.: PID controller - Wikipedia, the free encyclopedia (2011). Accessed 30 Mar 2018"},{"key":"2_CR3","first-page":"83","volume":"1","author":"W Ashby","year":"1958","unstructured":"Ashby, W.: Requisite variety and its implications for the control of complex systems. Cybernetica 1, 83\u201399 (1958)","journal-title":"Cybernetica"},{"key":"2_CR4","doi-asserted-by":"crossref","unstructured":"Ashby, W.R.: An Introduction to Cybernetics. Chapman & Hall Ltd., London (1957)","DOI":"10.1063\/1.3060436"},{"key":"2_CR5","unstructured":"\u00c5str\u00f6m, K.J.: PID Controllers: Theory, Design and Tuning. Instrument society of America (1995)"},{"key":"2_CR6","doi-asserted-by":"crossref","unstructured":"\u00c5str\u00f6m, K.J., Murray, R.M.: Feedback Systems: An Introduction for Scientists and Engineers. Princeton University Press, Princeton (2010)","DOI":"10.2307\/j.ctvcm4gdk"},{"key":"2_CR7","doi-asserted-by":"crossref","unstructured":"Baltieri, M., Buckley, C.L.: An active inference implementation of phototaxis. In: Proceedings of European Conference on Artificial Life, pp. 36\u201343 (2017)","DOI":"10.7551\/ecal_a_011"},{"issue":"4","key":"2_CR8","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/s10339-013-0571-3","volume":"14","author":"H Brown","year":"2013","unstructured":"Brown, H., Adams, R.A., Parees, I., Edwards, M., Friston, K.: Active inference, sensory attenuation and illusions. Cogn. Process. 14(4), 411\u2013427 (2013)","journal-title":"Cogn. Process."},{"key":"2_CR9","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.jmp.2017.09.004","volume":"14","author":"CL Buckley","year":"2017","unstructured":"Buckley, C.L., Kim, C.S., McGregor, S., Seth, A.K.: The free energy principle for action and perception: a mathematical review. J. Math. Psychol. 14, 55\u201379 (2017)","journal-title":"J. Math. Psychol."},{"key":"2_CR10","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/978-1-4612-5887-2_7","volume-title":"Attention and Self-Regulation","author":"Charles S. Carver","year":"1981","unstructured":"Carver, C.S., Scheier, M.F.: Attention and self-regulation: a control-theory approach to human behavior. Springer, New York (1981)"},{"key":"2_CR11","unstructured":"Clark, A.: Being There: Putting Brain, Body, and World Together Again. MIT press, Cambridge (1998)"},{"issue":"03","key":"2_CR12","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1017\/S0140525X12002440","volume":"36","author":"A Clark","year":"2013","unstructured":"Clark, A.: Whatever next? Predictive brains, situated agents, and the future of cognitive science. Behav. Brain Sci. 36(03), 181\u2013204 (2013)","journal-title":"Behav. Brain Sci."},{"issue":"S1","key":"2_CR13","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1111\/sjp.12120","volume":"53","author":"A Clark","year":"2015","unstructured":"Clark, A.: Radical predictive processing. South. J. Philos. 53(S1), 3\u201327 (2015)","journal-title":"South. J. Philos."},{"key":"2_CR14","volume-title":"Surfing Uncertainty: Prediction, Action, and the Embodied Mind","author":"A Clark","year":"2015","unstructured":"Clark, A.: Surfing Uncertainty: Prediction, Action, and the Embodied Mind. Oxford University Press, New York (2015)"},{"issue":"5","key":"2_CR15","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1162\/neco.1995.7.5.889","volume":"7","author":"P Dayan","year":"1995","unstructured":"Dayan, P., Hinton, G.E., Neal, R.M., Zemel, R.S.: The Helmholtz machine. Neural Comput. 7(5), 889\u2013904 (1995)","journal-title":"Neural Comput."},{"issue":"1456","key":"2_CR16","doi-asserted-by":"publisher","first-page":"815","DOI":"10.1098\/rstb.2005.1622","volume":"360","author":"K Friston","year":"2005","unstructured":"Friston, K.: A theory of cortical responses. Philos. Trans. R. Soc. London Ser. B Biol. Sci. 360(1456), 815\u2013836 (2005)","journal-title":"Philos. Trans. R. Soc. London Ser. B Biol. Sci."},{"issue":"11","key":"2_CR17","doi-asserted-by":"publisher","first-page":"e1000211","DOI":"10.1371\/journal.pcbi.1000211","volume":"4","author":"K Friston","year":"2008","unstructured":"Friston, K.: Hierarchical models in the brain. PLoS Comput. Biol. 4(11), e1000211 (2008)","journal-title":"PLoS Comput. Biol."},{"issue":"7","key":"2_CR18","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/j.tics.2009.04.005","volume":"13","author":"K Friston","year":"2009","unstructured":"Friston, K.: The free-energy principle: a rough guide to the brain? Trends Cogn. Sci. 13(7), 293\u2013301 (2009)","journal-title":"Trends Cogn. Sci."},{"issue":"2","key":"2_CR19","doi-asserted-by":"publisher","first-page":"127","DOI":"10.1038\/nrn2787","volume":"11","author":"K Friston","year":"2010","unstructured":"Friston, K.: The free-energy principle: a unified brain theory? Nat. Rev. Neurosci. 11(2), 127\u2013138 (2010)","journal-title":"Nat. Rev. Neurosci."},{"issue":"3","key":"2_CR20","doi-asserted-by":"publisher","first-page":"488","DOI":"10.1016\/j.neuron.2011.10.018","volume":"72","author":"K Friston","year":"2011","unstructured":"Friston, K.: What is optimal about motor control? Neuron 72(3), 488\u2013498 (2011)","journal-title":"Neuron"},{"issue":"86","key":"2_CR21","doi-asserted-by":"publisher","first-page":"20130475","DOI":"10.1098\/rsif.2013.0475","volume":"10","author":"K Friston","year":"2013","unstructured":"Friston, K.: Life as we know it. J. R. Soc. Interface 10(86), 20130475 (2013)","journal-title":"J. R. Soc. Interface"},{"issue":"1","key":"2_CR22","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.jphysparis.2006.10.001","volume":"100","author":"K Friston","year":"2006","unstructured":"Friston, K., Kilner, J., Harrison, L.: A free energy principle for the brain. J. Physiol. Paris 100(1), 70\u201387 (2006)","journal-title":"J. Physiol. Paris"},{"issue":"1\u20132","key":"2_CR23","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1007\/s00422-011-0424-z","volume":"104","author":"K Friston","year":"2011","unstructured":"Friston, K., Mattout, J., Kilner, J.: Action understanding and active inference. Biol. Cybern. 104(1\u20132), 137\u2013160 (2011)","journal-title":"Biol. Cybern."},{"issue":"4","key":"2_CR24","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1080\/17588928.2015.1020053","volume":"6","author":"Karl Friston","year":"2015","unstructured":"Friston, K., Rigoli, F., Ognibene, D., Mathys, C., Fitzgerald, T., Pezzulo, G.: Active inference and epistemic value. Cogn. Neurosci. 6(4), 1\u201328 (2015)","journal-title":"Cognitive Neuroscience"},{"issue":"7","key":"2_CR25","doi-asserted-by":"publisher","first-page":"e6421","DOI":"10.1371\/journal.pone.0006421","volume":"4","author":"KJ Friston","year":"2009","unstructured":"Friston, K.J., Daunizeau, J., Kiebel, S.J.: Reinforcement learning or active inference? PLoS One 4(7), e6421 (2009)","journal-title":"PLoS One"},{"issue":"3","key":"2_CR26","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1007\/s00422-010-0364-z","volume":"102","author":"KJ Friston","year":"2010","unstructured":"Friston, K.J., Daunizeau, J., Kilner, J., Kiebel, S.J.: Action and behavior: a free-energy formulation. Biol. Cybern. 102(3), 227\u2013260 (2010)","journal-title":"Biol. Cybern."},{"issue":"3","key":"2_CR27","doi-asserted-by":"publisher","first-page":"849","DOI":"10.1016\/j.neuroimage.2008.02.054","volume":"41","author":"KJ Friston","year":"2008","unstructured":"Friston, K.J., Trujillo-Barreto, N., Daunizeau, J.: DEM: a variational treatment of dynamic systems. NeuroImage 41(3), 849\u2013885 (2008)","journal-title":"NeuroImage"},{"key":"2_CR28","doi-asserted-by":"crossref","unstructured":"Hohwy, J.: The Predictive Mind. OUP, Oxford (2013)","DOI":"10.1093\/acprof:oso\/9780199682737.001.0001"},{"key":"2_CR29","doi-asserted-by":"publisher","DOI":"10.1016\/S0076-5392(09)60368-4","volume-title":"Stochastic Processes and Filtering Theory","author":"AH Jazwinski","year":"1970","unstructured":"Jazwinski, A.H.: Stochastic Processes and Filtering Theory, vol. 64. Academic Press, New York (1970)"},{"issue":"2","key":"2_CR30","first-page":"102","volume":"5","author":"RE Kalman","year":"1960","unstructured":"Kalman, R.E., et al.: Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana 5(2), 102\u2013119 (1960)","journal-title":"Bol. Soc. Mat. Mexicana"},{"issue":"12","key":"2_CR31","doi-asserted-by":"publisher","first-page":"712","DOI":"10.1016\/j.tins.2004.10.007","volume":"27","author":"DC Knill","year":"2004","unstructured":"Knill, D.C., Pouget, A.: The Bayesian brain: the role of uncertainty in neural coding and computation. Trends Neurosci. 27(12), 712\u2013719 (2004)","journal-title":"Trends Neurosci."},{"key":"2_CR32","unstructured":"Powers, W.T.: Behavior: The Control of Perception. Aldine, Chicago (1973)"},{"issue":"1","key":"2_CR33","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1038\/4580","volume":"2","author":"RP Rao","year":"1999","unstructured":"Rao, R.P., Ballard, D.H.: Predictive coding in the visual cortex: a functional interpretation of some extra-classical receptive-field effects. Nature Neurosci. 2(1), 79\u201387 (1999)","journal-title":"Nature Neurosci."},{"key":"2_CR34","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1016\/j.jmp.2015.11.003","volume":"76","author":"B Rafal","year":"2017","unstructured":"Rafal, B.: A tutorial on the free-energy framework for modelling perception and learning. J. Math. Psychol. 76, 198\u2013211 (2017)","journal-title":"J. Math. Psychol."},{"key":"2_CR35","doi-asserted-by":"crossref","unstructured":"Ritz, H., Nassar, M.R., Frank, M.J., Shenhav, A.: A control theoretic model of adaptive behavior in dynamic environments. bioRxiv, p. 204271 (2017)","DOI":"10.1101\/204271"},{"key":"2_CR36","unstructured":"Seth, A.K.: The cybernetic Bayesian Brain. In: Open Mind. Frankfurt am Main: MIND Group (2014)"},{"issue":"142\u2013163","key":"2_CR37","first-page":"1","volume":"4","author":"CE Shannon","year":"1959","unstructured":"Shannon, C.E.: Coding theorems for a discrete source with a fidelity criterion. IRE Nat. Conv. Rec 4(142\u2013163), 1 (1959)","journal-title":"IRE Nat. Conv. Rec"},{"key":"2_CR38","doi-asserted-by":"crossref","unstructured":"Todorov, E.: General duality between optimal control and estimation. In: 47th IEEE Conference on Decision and Control, CDC 2008, pp. 4286\u20134292. IEEE (2008)","DOI":"10.1109\/CDC.2008.4739438"},{"key":"2_CR39","volume-title":"Cybernetics or Control and Communication in the Animal and the Machine","author":"N Wiener","year":"1961","unstructured":"Wiener, N.: Cybernetics or Control and Communication in the Animal and the Machine, vol. 25. MIT press, Cambridge (1961)"},{"issue":"7\u20138","key":"2_CR40","doi-asserted-by":"publisher","first-page":"1317","DOI":"10.1016\/S0893-6080(98)00066-5","volume":"11","author":"DM Wolpert","year":"1998","unstructured":"Wolpert, D.M., Kawato, M.: Multiple paired forward and inverse models for motor control. Neural Netw. 11(7\u20138), 1317\u20131329 (1998)","journal-title":"Neural Netw."},{"issue":"4","key":"2_CR41","doi-asserted-by":"publisher","first-page":"329","DOI":"10.1016\/j.sysconle.2005.08.009","volume":"55","author":"L Yang","year":"2006","unstructured":"Yang, L., Iglesias, P.A.: Positive feedback may cause the biphasic response observed in the chemoattractant-induced response of Dictyostelium cells. Syst. Control Lett. 55(4), 329\u2013337 (2006)","journal-title":"Syst. Control Lett."},{"issue":"9","key":"2_CR42","doi-asserted-by":"publisher","first-page":"4649","DOI":"10.1073\/pnas.97.9.4649","volume":"97","author":"T-M Yi","year":"2000","unstructured":"Yi, T.-M., Huang, Y., Simon, M.I., Doyle, J.: Robust perfect adaptation in bacterial chemotaxis through integral feedback control. Proc. Natl. Acad. Sci. 97(9), 4649\u20134653 (2000)","journal-title":"Proc. Natl. Acad. Sci."}],"container-title":["Lecture Notes in Computer Science","From Animals to Animats 15"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-97628-0_2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,21]],"date-time":"2019-10-21T04:01:20Z","timestamp":1571630480000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-97628-0_2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783319976273","9783319976280"],"references-count":42,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-97628-0_2","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]}}}