Melkior Ornik

Electrical and Computer Engineering
Melkior Ornik
Assistant Professor
  • Aerospace Engineering
319H Talbot Laboratory MC 236
104 S. Wright
Urbana Illinois 61801

For more information

Profile

Education

  • Ph.D., Electrical and Computer Engineering, University of Toronto, 2017 (advisor: Mireille E. Broucke, thesis title: New Mathematical Tools in Reach Control Theory)
  • M.S., Mathematics and Statistics, Queen's University, 2013 (advisor: Andrew D. Lewis, project title: Some Observations on Orbits of Driftless Bilinear Systems)
  • B.S., Mathematics, University of Zagreb, 2011

Academic Positions

  • Research Associate, University of Texas at Austin, 2018 (advisor: Ufuk Topcu)
  • Postdoctoral Fellow, University of Texas at Austin, 2017 - 2018 (advisor: Ufuk Topcu)

Research Interests

  • Autonomous systems
  • Control of systems operating in complex, uncertain, or changing environments
  • Safety-critical control
  • Learning methods in control

Selected Articles in Journals

  • Y. Savas, M. Ornik, M. Cubuktepe, M. O. Karabag, U. Topcu. "Entropy maximization for Markov decision processes under temporal logic constraints". IEEE Transactions on Automatic Control, 2019. DOI: 10.1109/TAC.2019.2922583
  • M. Ornik, M. E. Broucke. "Chattering in the reach control problem". Automatica, 89, pp. 201-211, 2018. DOI: 10.1016/j.automatica.2017.11.008
  • M. E. Broucke, M. Ornik, A. Mansouri. "A topological obstruction in a control problem". Systems & Control Letters, 108, pp. 71–79, 2017. DOI: 10.1016/j.sysconle.2017.08.005
  • M. Ornik, M. E. Broucke. "Characterization of a topological obstruction to reach control by continuous state feedback". Mathematics of Control, Signals, and Systems, 29(2), 2017. DOI: 10.1007/s00498-017-0192-y
  • M. Moarref, M. Ornik, M. E. Broucke. "An obstruction to solvability of the reach control problem using affine feedback". Automatica, 71, pp. 229–236, 2016. DOI: 10.1016/j.automatica.2016.04.033

Articles in Conference Proceedings

  • Z. Xu, M. Ornik, A. A. Julius, U. Topcu. "Information-guided temporal logic inference with prior knowledge". Accepted to American Control Conference, 2019.
  • M. Ornik, S. Carr, A. Israel, U. Topcu. "Myopic control of systems with unknown dynamics". Accepted to American Control Conference, 2019.
  • M. O. Karabag, M. Ornik, U. Topcu. "Least inferable policies for Markov decision processes". Accepted to American Control Conference, 2019.
  • M. Ornik, J. Fu, N. T. Lauffer, W. K. Perera, M. Alshiekh, M. Ono, U. Topcu. "Expedited learning in MDPs with side information". 57th IEEE Conference on Decision and Control, 2018. DOI: 10.1109/CDC.2018.8619134
  • M. Ornik, M. S. Moura, A. Peplowski, M. Broucke. "Adaptive cruise control design using reach control". 21st IEEE International Conference on Intelligent Transportation Systems, pp. 111-116, 2018. DOI: 10.1109/ITSC.2018.8569963
  • Y. Savas, M. Ornik, M. Cubuktepe, U. Topcu. "Entropy maximization for constrained Markov decision processes". 56th Annual Allerton Conference on Communication, Control, and Computing, 2018. DOI: 10.1109/ALLERTON.2018.8636066
  • M. Ornik, U. Topcu. "Deception in optimal control". 56th Annual Allerton Conference on Communication, Control, and Computing, 2018. DOI: 10.1109/ALLERTON.2018.8635871
  • M. Bucic, M. Ornik, U. Topcu. "Graph-based controller synthesis for safety-constrained, resilient systems". 56th Annual Allerton Conference on Communication, Control, and Computing, 2018. DOI: 10.1109/ALLERTON.2018.8635905
  • D. Ge, M. Ornik, U. Topcu. "Robust myopic control for systems with imperfect observations". AAS/AIAA Astrodynamics Specialist Conference, 2018.
  • P. Mercader, M. Ornik, P.-O. Gutman, I. Ioslovich. "Optimal signal timing for multi-phase intersections". 15th IFAC Symposium on Control in Transportation Systems, pp. 476-481, 2018. DOI: 10.1016/j.ifacol.2018.07.078
  • M. Ornik, M. E. Broucke. "A graph-theoretic approach to the reach control problem". 56th IEEE Conference on Decision and Control, pp. 4952-4957, 2017. DOI: 10.1109/CDC.2017.8264392
  • M. Ornik, M. E. Broucke. "A nerve-theoretic result on the problem of a topological obstruction in reach control". 56th IEEE Conference on Decision and Control, pp. 3009-3014, 2017. DOI: 10.1109/CDC.2017.8264097
  • M. Ornik, M. Moarref, M. E. Broucke. "An automated parallel parking strategy using reach control theory". 20th World Congress of the International Federation of Automatic Control, pp. 9419–9424, 2017. DOI: 10.1016/j.ifacol.2017.08.1699
  • M. Ornik, A. C. Sniderman, M. E. Broucke, G. M. T. D’Eleuterio. "Pattern identification in distributed systems". 55th IEEE Conference on Decision and Control, pp. 6895–6900, 2016. DOI: 10.1109/CDC.2016.7799331
  • M. Ornik, M. E. Broucke. "Characterizing equilibria in reach control under affine feedback". 10th IFAC Symposium on Nonlinear Control Systems, pp. 1078–1083, 2016. DOI: 10.1016/j.ifacol.2016.10.311
  • M. Ornik, M. E. Broucke. "On a topological obstruction in the reach control problem". 2015 AMMCS-CAIMS Congress, pp. 677-687, 2016. DOI: 10.1007/978-3-319-30379-6
  • M. Ornik, M. E. Broucke. "A topological obstruction to reach control by continuous state feedback". 54th IEEE Conference on Decision and Control, pp. 2258–2263, 2015. DOI: 10.1109/CDC.2015.7402543

Pending Articles

  • Y. Savas, V. Gupta, M. Ornik, L. J. Ratliff, U. Topcu. "Incentive design for temporal logic objectives". Submitted to 58th IEEE Conference on Decision and Control, 2019.
  • P. Thangeda, M. Ornik. "Safety-guaranteed, accelerated learning in MDPs with local side information". Submitted to 58th IEEE Conference on Decision and Control, 2019.
  • M. O. Karabag, M. Ornik, U. Topcu. "Optimal deceptive and reference policies for supervisory control". Submitted to IEEE Transactions on Automatic Control, 2019.
  • M. Ornik, S. Carr, A. Israel, U. Topcu. "Control-oriented learning on the fly". Submitted to IEEE Transactions on Automatic Control, 2018.

Research Honors

  • Rector's Award, University of Zagreb (2012)

Courses Taught

  • AE 353 - Aerospace Control Systems
  • AE 504 - Optimal Aerospace Systems