Publications

Books:

  1. C. M. Kellett, P. Braun; Introduction to Nonlinear Control: Stability, Control Design, and Estimation, Princeton University Press, to appear 2023
  2. P. Braun, L. Grüne, C. M. Kellett; (In-)Stability of Differential Inclusions: Notions, Equivalences, and Lyapunov-like Characterizations, SpringerBriefs in Mathematics, 2021

Journal Articles:

  1. P. Braun, G. Giordano, Christopher M. Kellett, L. Zaccarian, An asymmetric stabilizer based on scheduling shifted coordinates for single-input linear systems with asymmetric saturation, IEEE Control Systems Letters 6: 746-751, 2021
  2. P. Braun, C. M. Kellett, Luca Zaccarian; Explicit construction of stabilizing robust avoidance controllers for linear systems with drift, in IEEE Transactions on Automatic Control 66(2) :595-610, 2021 (Preprint) 
  3. P. Braun, C. M. Kellett; Comment on “Stabilization with guaranteed safety using Control Lyapunov-Barrier Function”, in Automatica 122, 109225, 2020
  4. P. Braun, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; Towards price-based predictive control of a small scale electricity network, in International Journal of Control 93(1):40-61, 2020 (Preprint) 
  5. C. A. Hans, P. Braun, J. Raisch, L. Grüne, C. Reincke-Collon; Hierarchical distributed model predictive control of interconnected microgrids, in IEEE Transactions on Sustainable Energy 10(1): 407-416, 2019 (Preprint) 
  6. P. Braun, L. Grüne; Distributed optimization: Applications in model predictive control, in at – Automatisierungstechnik 66(11):939-949, 2018 (Preprint)
  7. P. Braun, T. Faulwasser, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; Hierarchical distributed ADMM for predictive control with applications in power networks, in IFAC Journal of Systems and Control 3, 10-22 pages, 2018 (Preprint) 
  8. P. Braun, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; A distributed optimization algorithm for the predictive control of smart grids, in IEEE Transactions on Automatic Control 61(12):3898-3911, 2016 (Preprint) 
  9. P. Braun, E. Hernández, D. Kalise; Reduced-order LQG control of a Timoshenko beam model, in Bulletin of the Brazilian Mathematical Society, New Series 47:143-155, 2016 (Preprint) 
  10. K. Worthmann, M. Proch, P. Braun, J. Schlüchtermann, J. Pannek; Towards Dynamic Contract Extension in Supplier Development, in Logistics Research 9(14):1-14, 2016 (Preprint) 
  11. K. Worthmann, C. M. Kellett, P. Braun, L. Grüne, S. R. Weller;Distributed and decentralized control of residential energy systems incorporating battery storage, in IEEE Transactions on Smart Grid 6(4):1914-1923, 2015 (Preprint)

Conference Proceedings:

  1. P. Braun, M. Jungers, L. Zaccarian; Stabilization using shifted equilibria for saturated discrete-time linear systems, accepted for presentation at 12th IFAC Symposium on Nonlinear Control Systems, 6 pages (Preprint)
  2. P. Braun, L. Zaccarian, Augmented obstacle avoidance controller design for mobile robots, 7th IFAC Conference on Analysis and Design of Hybrid Systems, IFAC-PapersOnLine 54(5): 157-162, 2021 (Preprint) 
  3. G. M. Vinco, P. Braun, L. Zaccarian; A modular architecture for mobile robots equipped with continuous-discrete observers, IEEE International Conference on Mechatronics, 6pages, 2021 (Preprint)
  4. P. Braun, C. M. Kellett, L. Zaccarian; Uniting control laws: On obstacle avoidance and global stabilization of underactuated linear systems, in Proc. of the 58th IEEE Conference on Decision and Control, 8154-8159, 2019, (Preprint)
  5. R. Baier, P. Braun, L. Grüne, C. M. Kellett; Numerical calculation of nonsmooth control Lyapunov functions via piecewise affine approximation, in Proc. of the 11th IFAC Symposium on Nonlinear Control Systems, IFAC-PapersOnLine 52(16): 370-375, 2019 (Preprint) 
  6. P. Braun, C. M. Kellett, L. Zaccarian; Complete control Lyapunov functions: Stability under state constraints, in Proc. of the 11th IFAC Symposium on Nonlinear Control Systems, IFAC-PapersOnLine 52(16): 358-363, 2019 (Preprint) 
  7. P. Braun, L. Grüne, C. M. Kellett; Complete Instability of Differential Inclusions using Lyapunov Methods, in Proc. of the 57th IEEE Conference on Decision and Control (CDC’18), 718-724, 2018 (Preprint) 
  8. P. Braun, C. M. Kellett, L. Zaccarian; Unsafe Point Avoidance in Linear State Feedback, in Proc. of the 57th IEEE Conference on Decision and Control (CDC’18), 2372-2377, 2018 (Preprint) 
  9. P. Braun, L. Grüne, C. M. Kellett; Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator, in Proc. of the 56th IEEE Conference on Decision and Control (CDC’17), p. 4890-4895, 2017 (Preprint) 
  10. P. Braun, T. Faulwasser, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; Maximal Islanding Time For Microgrids via Distributed Predictive Control, in Proc. of the 22nd International Symposium on Mathematical Theory of Networks and Systems (MTNS’16), p. 652-659, 2016 (Preprint) 
  11. K. Worthmann, P. Braun, M. Proch, J. Schlüchtermann, J. Pannek; On Contractual Periods in Supplier Development, in Proc. of the 7th IFAC Conference on Management and Control of Production and Logistics (MCPL’16), p. 60-65, 2016 (Preprint) 
  12. P. Braun, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; A real-time pricing scheme for residential energy systems using a market maker, in Proc. of the 2015 Australian Control Conference (AUCC’15), p. 259-262, 2015 (Preprint) 
  13. P. Braun, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; Predictive control of a smart grid: A distributed optimization algorithm with centralized performance properties , in Proc. of the 54th IEEE Conference on Decision and Control  (CDC’15), p. 5593-5598, 2015 (Preprint) 
  14. P. Braun, J. Pannek, K. Worthmann; Predictive control algorithms: stability despite shortened optimization horizons, in Proc. of the 15th IFAC Workshop on Control Applications of Optimization (CAO’12), p. 274-279, 2012 (Preprint)

Book Chapters

  1. P. Braun, L. Grüne, C. M. Kellett, K. Worthmann; Model predictive control and distributed optimization in smart grid applications, Handbook of Smart Energy Systems, Springer, 23 pages, 2022 (Preprint)
  2. P. Braun, P. Sauerteig, K. Worthmann; Distributed optimization based control on the example of microgrids, in “Computational Intelligence and Optimization Methods for Control Engineering”, Springer International Publishing, 173-200, 2019 (Preprint) 
  3. R. Baier, P. Braun, L. Grüne, C. M. Kellett; Numerical construction of nonsmooth control Lyapunov functions, in “Large-Scale and Distributed Optimization”, Springer International Publishing, (Editors: P. Giselsson, A. Rantzer), p. 343-373, 2018 (Preprint) 
  4. P. Braun, L. Grüne, C. M. Kellett, S. R. Weller, K. Worthmann; Model Predictive Control of Residential Energy Systems Using Energy Storage and Controllable Loads, Progress in Industrial Mathematics at ECMI 2014, Springer, p. 617-623, 2017 (Preprint)

Extended Abstracts:

  1. R. Ballaben, P. Braun, L. Zaccarian; Orchestrating front and rear sensors for global stabilization of unicycles, 25th International Symposium on Mathematical Theory of Networks and Systems, 2022, 4 pages, (Preprint)

Theses:

  1. P. Braun; Hierarchical distributed optimization and predictive control of a smart grid, PhD thesis, Bayreuth, 2016,  ix+162 pages
  2. P. Braun; Applicability Issues of Constrained Model Predictive Control, Diplomarbeit, Department of Mathematics, Technical University Kaiserslautern, 2012

Preprints:

  1. P. Braun, I. Shames, D. Hubczenko, A. Dostovalova, B. Fraser; Capture the flag games: Observations from the 2022 Aquaticus competition, 7 pages (Preprint)
  2. P. Braun, G. Giordano, C. M. Kellett, I. Shames, L. Zaccarian; Optimizing shifted stabilizers with asymmetric input saturation, 14 pages (Preprint)