This image shows Tobias  Holicki

Tobias Holicki

M. Sc.

Research Assistant
Dep. of Mathematics/IMNG
Mathematical Systems Theory

Contact

+49 711 685 60027
+4971168560028

Pfaffenwaldring 5a
70569 Stuttgart
Deutschland
Room: PWR 5a, R. 2.007

Office Hours

On appointment

Subject

Control of hybrid and switched systems
Combining continuous- and discrete time analysis and design techniques for systems that evolve continuously but also undergo instantaneous changes.

Interconnection of hybrid systems
Interconnection of hybrid systems (G, GJ) and (K, KJ).

Distributed control
Scalable analysis and design approaches for large networks of systems.

Cyclic interconnected systems
Cyclic interconnected systems.

Robust control
Analysis and synthesis techniques for linear systems affected by uncertainties.

Robust vs nominal design
Robust (left) vs nominal (right) design for an uncertain hybrid system. (Top) reference tracking and (bottom) control effort.

Linear matrix inequalities and integral quadratic constraints
Exploring the applicability of linear matrix inequalities and dynamic integral quadratic constraints in control oriented problems.

  1. (Journal-) Articles

    1. T. Holicki, C. W. Scherer, and S. Trimpe, Controller Design via Experimental Exploration with Robustness Guarantees, IEEE Control Syst. Lett., vol. 5, no. 2, pp. 641–646, 2021.
    2. T. Holicki and C. W. Scherer, Robust Gain-Scheduled Estimation with Dynamic D-Scalings, IEEE Trans. Autom. Control, vol. 66, no. 11, pp. 5592–5598, 2021.
    3. T. Holicki and C. W. Scherer, Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis, Int. J. Robust Nonlin., vol. 31, no. 11, pp. 5427–5459, 2021.
    4. T. Holicki and C. W. Scherer, Stability Analysis and Output-Feedback Synthesis of Hybrid Systems Affected by Piecewise Constant Parameters via Dynamic Resetting Scalings, Nonlinear Anal. Hybri., vol. 34, pp. 179–208, 2019.
  2. Conference papers

    1. T. Holicki and C. W. Scherer, Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems, in IFAC-PapersOnline, 2020, vol. 53, no. 2, pp. 7299–7304.
    2. T. Holicki and C. W. Scherer, A Homotopy Approach for Robust Output-Feedback Synthesis, in Proc. 27th. Med. Conf. Control Autom., 2019, pp. 87–93.
    3. T. Holicki and C. W. Scherer, Output-Feedback Gain-Scheduling Synthesis for a Class of Switched Systems via Dynamic Resetting $D$-Scalings, in 57th IEEE Conf. Decision and Control, 2018, pp. 6440–6445.
    4. T. Holicki and C. W. Scherer, A Swapping Lemma for Switched Systems, in IFAC-PapersOnLine, 2018, vol. 51, no. 25, pp. 346–352.
    5. C. W. Scherer and T. Holicki, An IQC theorem for relations: Towards stability analysis of data-integrated systems, in IFAC-PapersOnLine, 2018, vol. 51, no. 25, pp. 390–395.
    6. T. Holicki and C. W. Scherer, Controller Synthesis for Distributed Systems over Undirected Graphs, in 55th IEEE Conf. Decision and Control, 2016, pp. 5238–5244.
  3. Other

    1. T. Holicki and C. W. Scherer, Optimization-based design of data-integrated controllers, Poster at the SimTech Statusseminar. 2021.
    2. T. Holicki and C. W. Scherer, Distributed Control of Networked Systems by Convex Optimization, Poster at the SimTech Statusseminar. 2019.

Current semester

  • Teaching assistant: Higher mathematics 1

Previous semesters

Summer term 2021

  • Teaching assistant: Higher mathematics 2

Winter term 2020/21

  • Teaching assistant: Higher mathematics 1

Winter term 2019/2020

  • Teaching assistant: Optimization
  • SimTech B.Sc.-project supervision: Iterative learning control

Summer term 2019

  • Teaching assistant: Robust Control
  • SimTech B.Sc.-seminar supervision: Feedback stabilization of positive systems

Winter term 2018/2019

  • Teaching assistant: Optimization

Summer term 2018

  • Teaching assistant: Robust control
  • SimTech B.Sc.-seminar supervision: Matrix sign function

Summer term 2017

  • Teaching assistant: Linear algebra 2
  • SimTech B. Sc.-seminar supervision: Stochastic matrices and markov chains
  • B. Sc. thesis supervision: Modeling and control of a double inverted pendulum 

Winter term 2016/2017

  • Teaching assistant: Linear algebra 1

Tobias Holicki was born in Ludwigsburg, Germany, in 1990. He received the B.Sc. and M.Sc. degree in mathematics from the University of Stuttgart, Germany in 2013 and 2016, respectively. He is currently affiliated with the chair of Mathematical Systems Theory (Department of Mathematics, University of Stuttgart, Germany) and working towards his Ph.D. degree.

  • Nonlinear Analysis: Hybrid Systems Paper Prize Award 2020
  • IFAC Young Author Award 2018
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