M. Sc.

# Christian Rösinger

Research Assistant
Dep. of Mathematics/IMNG
Mathematical Systems Theory

## Contact

+49 711 685-60029
+49 711 685-60028

Pfaffenwaldring 5a
70569 Stuttgart
Deutschland
Room: PWR 5a, R. 2.005

On appointment

## Subject

Structured controller synthesis

Linear matrix inequalities

Robust control

1. ### 2021

1. T. Holicki and C. W. Scherer, Revisiting and Generalizing the Dual Iteration for Static and Robust Output-Feedback Synthesis, Int. J. Robust Nonlin., pp. 1–33, 2021.
2. ### 2020

1. M. Barreau, C. W. Scherer, F. Gouaisbaut, and A. Seuret, Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis, in IFAC World Congress, 2020.
2. T. Holicki and C. W. Scherer, Output-Feedback Synthesis for a Class of Aperiodic Impulsive Systems, IFAC-PapersOnline, vol. 53, no. 2, pp. 7299–7304, 2020.
3. C. A. Rösinger and C. W. Scherer, Lifting to Passivity for $H_2$-Gain-Scheduling Synthesis with Full Block Scalings, in arXiv:2001.05740 math.OC, 2020.
4. S. Michalowsky, C. Scherer, and C. Ebenbauer, Robust and structure exploiting optimisation algorithms : an integral quadratic constraint approach, International Journal of Control, vol. 2020, pp. 1–24, 2020.
3. ### 2019

1. 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.
2. 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.
3. C. A. Rösinger and C. W. Scherer, A Scalings Approach to $H_2$-Gain-Scheduling Synthesis without Elimination, IFAC-PapersOnLine, vol. 52, no. 28, pp. 50–57, 2019.
4. ### 2018

1. Y. Guo and C. W. Scherer, Robust Gain-Scheduled Controller Design with a Hierarchical Structure, IFAC-PapersOnLine, vol. 51, no. 25, pp. 228–233, 2018.
2. 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.
3. T. Holicki and C. W. Scherer, A Swapping Lemma for Switched Systems, IFAC-PapersOnLine, vol. 51, no. 25, pp. 346–352, 2018.
5. ### 2017

1. M. Fetzer, From classical absolute stability tests towards a comprehensive robustness analysis, Dissertation, University of Stuttgart, Stuttgart, 2017.
2. M. Fetzer and C. W. Scherer, Full‐block multipliers for repeated, slope‐restricted scalar nonlinearities, Int. J. Robust Nonlin., vol. 27, no. 17, pp. 3376–3411, 2017.
3. M. Fetzer and C. W. Scherer, Zames-Falb Multipliers for Invariance, IEEE Control Syst. Lett., vol. 1, no. 2, pp. 412–417, 2017.
4. C. A. Rösinger and C. W. Scherer, Structured Controller Design With Applications to Networked Systems, in 56th IEEE Conf. Decision and Control, 2017, pp. 4771–4776.
6. ### 2016

1. M. Fetzer and C. W. Scherer, A General Integral Quadratic Constraints Theorem with Applications to a Class of Sampled-Data Systems., SIAM J. Contr. Optim., vol. 54, no. 3, pp. 1105–1125, 2016.
2. 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. C. W. Scherer, Lossless $H_ınfty$-synthesis for 2D systems (special issue JCW), Syst. Control Lett., vol. 95, pp. 25–35, 2016.
4. E. J. Trottemant, C. W. Scherer, and M. Mazo, Optimality of robust disturbance-feedback strategies, Int. J. Robust Nonlin., vol. 26, no. 7, pp. 1475–1488, 2016.
5. J. Veenman, C. W. Scherer, and H. Köroglu, Robust stability and performance analysis with integral quadratic constraints, Eur. J. Control, vol. 31, pp. 1–32, 2016.
6. J. Veenman, M. Lahr, and C. W. Scherer, Robust controller synthesis with unstable weights, in 55th IEEE Conf. Decision and Control, 2016, pp. 2390–2395.
7. M. Fetzer and C. W. Scherer, Stability and Performance Analysis on Sobolev Spaces, in 55th IEEE Conf. Decision and Control, 2016, pp. 7264–7269.
8. L. Allerhand, E. Gershon., and U. Shaked, Robust state-feedback control of stochastic state-multiplicative discrete-time linear switched systems with dwell time, Int. J. Robust Nonlin., vol. 26, no. 2, pp. 187–200, 2016.
9. E. J. Trottemant, M. Mazo, and C. W. Scherer, Synthesis of Robust Piecewise Affine Output-Feedback Strategies, J. Guid. Control Dynam., vol. 39, no. 7, pp. 1461–1469, 2016.
7. ### 2015

1. L. I. Allerhand, E. Gershon, and U. Shaked, State-feedback Control of Stochastic Discrete-time Linear Switched Systems with Dwell Time, in Eur. Control Conf., 2015, pp. 452–457.
2. J. Missler, D. Schwarzmann, and L. I. Allerhand, On the Influence of Filter Choice in Output-Feedback MRAC during Adaptation Transients, IFAC-PapersOnLine, vol. 48, no. 11, pp. 505–510, 2015.
3. C. W. Scherer, Gain-Scheduling Control with dynamic Multipliers by Convex Optimization, SIAM J. Contr. Optim., vol. 53, no. 3, pp. 1224–1249, 2015.
4. L. I. Allerhand, Stability of adaptive control in the presence of input disturbances and $H_ınfty$ performance, IFAC-PapersOnLine, vol. 48, no. 14, pp. 76–81, 2015.
5. E. Gershon, U. Shaked, and L. I. Allerhand, Stochastic Linear Systems: Robust $H_ınfty$ Control via Vertex-dependent Approach, in 23rd Med. Conf. Control and Automation, 2015, pp. 638–643.
6. J. Veenman, A general framework for robust analysis and control: an integral quadratic constraint based approach, Dissertation, Logos Verlag, Berlin, 2015.
7. H. Köroglu, C. W. Scherer, and P. Falcone, Robust Static Output Feedback Synthesis under an Integral Quadratic Constraint on the States, in Eur. Control Conf., 2015, pp. 3203–3208.
8. ### 2014

1. C. W. Scherer, $H_ınfty$- and $H_2$-synthesis for nested interconnections: A direct state-space approach by linear matrix inequalities, in 21st Int. Symp. Math. Theory Netw. and Systems, 2014.
2. J. Veenman and C. W. Scherer, IQC-synthesis with general dynamic multipliers, Int. J. Robust Nonlin., vol. 24, no. 17, pp. 3027–3056, 2014.
9. ### 2013

1. J. Veenman and C. W. Scherer, Stability analysis with integral Quadratic constraints: A dissipativity based proof, in 52nd IEEE Conf. Decision and Control, 2013, pp. 3770–3775.
2. J. Chaudenson et al., Stability analysis of pulse-modulated systems with an application to space launchers, IFAC Proc. Vol., vol. 46, no. 19, pp. 494–499, 2013.
3. C. W. Scherer, Structured $H_ınfty$-Optimal Control for Nested Interconnections: A State-Space Solution, Syst. Control Lett., vol. 62, no. 12, pp. 1105–1113, 2013.
4. C. W. Scherer, Gain-scheduled synthesis with dynamic generalized strictly positive real multipliers: A complete solution, in 52nd IEEE Conf. Decision and Control, 2013, pp. 4116–4121.
10. ### 2012

1. J. Chaudenson et al., PMW Modeling for Attitude Control of a Launcher During Ballistic Phase and Comparative Stability Analysis, in 7th IFAC Symposium on Robust Control Design, Aalborg, Denmark, 2012.
2. C. W. Scherer and I. E. Köse, Gain-scheduled control synthesis using dynamic $D$-scales, IEEE T. Automat. Contr., vol. 57, no. 9, pp. 2219–2234, Sep. 2012.
3. J. Mohammadpour and C. W. Scherer, Control of Linear Parameter Varying Systems with Applications. Springer-Verlag, 2012.
4. C. W. Scherer, Distributed control with dynamic dissipation constraints, in 50th Annual Allertin Conference on Communication, Control, and Computing, Monticello, Illinois, 2012, pp. 55–62.
5. C. W. Scherer and J. Veenman, Robust Controller Synthesis is Convex for Systems without Control Channel Uncertainties, in 7th IFAC Symposium on Robust Control Design, Aalborg, DK, 2012.
11. ### 2010

1. C. W. Scherer and I. E. Köse, Gain-Scheduled Control Synthesis using Dynamic $D$-Scales, in 49th IEEE Conf. Decision and Control, Altanta, GA, 2010, pp. 6845–6850.
2. E. J. Trottemant, C. W. Scherer, M. Weiss, and A. Vermeulen, Robust Missile Feedback Control Strategies, J. Guid. Control Dynam., vol. 33, no. 6, pp. 1837–1846, Nov. 2010.
3. P. Estevez et al., A Haptic Tele-operated System for Microassembly, in in: Ratchev S. (eds) Precision Assembly Technologies and Systems. IPAS 2010. IFIP Advances in Information and Communication Technology, vol. 315 Springer, 2010, vol. 315, pp. 13–20.
4. J. Witte, H. M. N. K. Balini, and C. W. Scherer, Robust and LPV control of an AMB system, in Proc. American Control Conf., Baltimore, MD, USA, 2010, pp. 2194–2199.
5. C. W. Scherer and S. Weiland, Linear Matrix Inequalities in Control, in The Control Systems Handbook, Second Edition, W. S. Levine, Ed. CRC Press, 2010, pp. 1–30.
6. J. Witte, H. M. N. K. Balini, and C. W. Scherer, Experimental results with stable and unstable LPV controllers for an Active Magnetic Bearing System, in IEEE Multi-Conference on Control, Japan, 2010, pp. 950–955.
7. A. Marcos et al., Application of LPV Modeling, Design and Analysis Methods to Re-entry Vehicle, in Proc. AIAA Guidance, Navigation and Control Conf., Toronto, Canada, 2010, pp. 8192–1/18.
8. H. M. N. K. Balini, I. Houtzager, J. Witte, and C. W. Scherer, Subspace identification and robust control of an AMB system, in Proc. American Control Conf., Baltimore, MD, USA, 2010, pp. 2200–2205.
9. H. M. N. K. Balini, J. Witte, and C. W. Scherer, Advanced Control for Active Magnetic Bearing Systems, in 10th Int. Conf. of the Eur. Society for Precision Engineering and Nanotechnology, Delft, 2010, pp. 344–347.
10. H. M. N. K. Balini, J. Witte, C. W. Scherer, and S. G. Dietz, Active magnetic bearings: Robust performance against uncertainty in rotational speed, in 5th IFAC Symposium on Mechatrinic Systems, Cambridge, USA, 2010, pp. 355–360.
12. ### 2009

1. C. Scherer, Robust Controller Synthesis is Convex for Systems without Control Channel Uncertainties, in Model-Based Control: Bridging Rigorous Theory and Advanced Technology, P. M. J. V. den Hof, C. W. Scherer, and P. S. C. Heunberger, Eds. Springer US, 2009, pp. 13–30.
13. ### 2008

1. C. W. Scherer and I. E. Köse, Robustness with dynamic IQCs: An exact state-space characterization of nominal stability with applications to robust estimation, Automatica, vol. 44, no. 7, pp. 1666–1675, 2008.
2. H. Köroglu and C. W. Scherer, Robust attenuation of non-stationary sinusoidal disturbances with uncertain frequencies, in 17th IFAC World Congress, Seoul, South Korea, 2008.
3. J. M. Rieber, C. W. Scherer, and F. Allgower, Robust $l_1$ performance analysis for linear systems with parametric uncertainties, Int. J. Control, vol. 81, no. 5, pp. 851–864, May 2008.
4. H. Köroglu and C. W. Scherer, LPV control for robust attenuation of non-stationary sinusodial disturbances with measurable frequencies, in 17th IFAC World Congress, Seoul, South Korea, 2008.
5. E. J. Trottermant, C. W. Scherer, M. Weiss, and A. F. Vermeulen, Robust Minimax Strategies for Missile Guidance Design, in Proc. AIAA Guidance, Navigation and Control Conf., 2008.
6. H. Köroglu and C. W. Scherer, Robust Generalized Asymptotic Regulation against Non-Stationary Sinusoidal Disturbances, in 47th IEEE Conf. Decision and Control, 2008.
7. S. G. Dietz, H. M. N. K. Balini, and C. W. Scherer, Robust control against disturbance model uncertainty in active magnetic bearings, in Proc. 11th International Symposium on Magnetic Bearings, 2008.
14. ### 2007

1. H. Nguyen Tien, C. W. Scherer, and J. M. A. Scherpen, Self-scheduled LPV controller synthesis for doubly-fed induction generators, in Proc. Windpower, Los Angeles, 2007.
2. C. W. Scherer and I. E. Köse, Gain-scheduling synthesis with dynamic $D$-scalings, in 46th IEEE Conf. Decision and Control, 2007.
3. H. Nguyen Tien, C. W. Scherer, and J. M. A. Scherpen, Robust performance of self-scheduled LPV control of doubly-fed induction generator in wind energy conversion systems, in Eur. Conf. on Power Electronics and Applications, 2007.
4. H. Köroglu and C. W. Scherer, An LPV control approach to asymptotic rejection of non-stationary disturbances with guaranteed worst-case performance, in Proc. American Control Conf., 2007, pp. 6085–6090.
5. I. E. Köse and C. W. Scherer, Robust feedforward control of uncertain systems using dynamic IQCs, in 46th IEEE Conf. Decision and Control, 2007, pp. 2181–2186.
15. ### 2006

1. C. W. Scherer and I. Köse, Robust $H_2$ estimation with dynamic IQCs: A convex solution, in 45th IEEE Conf. Decision and Control, San Diego, 2006, pp. 4746–4751.
2. H. Chen and C. W. Scherer, Moving horizon $H_ınfty$ control with performance adaptation for constrained linear systems, Automatica, vol. 42, no. 6, pp. 1033–1040, 2006.
16. ### 2005

1. C. W. J. Hol and C. W. Scherer, Sum of squares relaxations for robust polynomial semi-definite programs, in 16th IFAC World Congress, Prague, 2005.
2. C. W. Scherer, How to construct asymptotically exact relaxations in robust control?, Journal of SICE, vol. 44, pp. 519–533, 2005.
3. C. Hol and C. W. Scherer, A sum-of-squares approach to fixed-order $H_ınfty$-synthesis, in Lecture Notes in Control and Information Sciences, D. Henrion and A. Garulli, Eds. Springer-Verlag, 2005, pp. 45–71.
17. ### 2004

1. C. W. J. Hol and C. W. Scherer, Computing Optimal Fixed Order $H_ınfty$-synthesis Values by Matrix Sum of Squares Relaxations, in 43rd IEEE Conf. Decision and Control, Atlantis, Paradise Island, Bahamas, 2004, pp. 3147–3153.
2. C. W. J. Hol and C. W. Scherer, Fixed Order $H_ınfty$-synthesis: Computing Optimal Values by Robust Performance Analysis, in Proc. American Control Conf., Boston, Mass, 2004, pp. 3285–3290.
3. C. W. Scherer, LMI relaxations in robust control (tutorial), in MTNS, Leuven, Belgium, 2004.
18. ### 2003

1. S. Dietz, C. W. Scherer, G. Looye, and S. Bennani, Comparison of Different LMI Synthesis Techniques to Design a Flexible Aircraft Gust Response Control Law, in Proc. AIAA Guidance, Navigation and Control Conf., Austin, Texas, 2003.
2. C. W. J. Hol, C. W. Scherer, E. G. van der Mech/’e, and O. H. Bosgra, A Trust-Region Interior Point Approach to Fixed-Order Control applied to the Benchmark System, in Proceedings of International Workshop: Design and Optimisation of Restricted Complexity Controllers, Grenoble, France, 2003.
3. C. Hol, C. W. Scherer, E. van der Mech/’e, and O. H. Bosgra, A nonlinear SDP approach to fixed-order controller synthesis and comparison with two other methods applied to an active suspension system, Eur. J. Control, vol. 9, no. 1, pp. 13–28, 2003.
4. C. W. Scherer, When are multiplier relaxations exact?, in 4th IFAC Symposium on Robust Control Design, Milano, Italy, 2003.
5. C. W. Scherer, Testing the Exactness of Convex Relaxations for Robust LMI Problems, in Proc. Appl. Math. Mech., 2003, vol. 3, pp. 52–55.
6. S. Kanev, C. W. Scherer, M. Verhaegen, and B. de Schutter, A BMI Optimization Approach to Robust Output-Feedback Control, in 42nd IEEE Conf. Decision and Control, Maui, Hawaii, 2003, pp. 851–856.
19. ### 2002

1. C. W. Scherer, Structured finite-dimensional controller design by convex optimization, Linear Algebra Appl., vol. 351–352, pp. 639–669, Aug. 2002.
20. ### 2001

1. C. W. Scherer, Multi-objective control without Youla parameterization, in Perspectives in Robust Control, S. O. R. Moheimani, Ed. London: Springer-Verlag, 2001, pp. 311–325.
2. F. Allgöwer, S. Engell, F. Piwonka, C. W. Scherer, K. Schlacher, and H. Schuler, Methodische Perspektiven in der Automatisierungstechnik, aT. Autom., vol. 49, pp. 7–9, 2001.
21. ### 2000

1. C. W. Scherer, Robust controller design by output feedback against uncertain stochastic disturbances, in 3rd IFAC Symposium on Robust Control Design, Prague, 2000, p. 6 pages.
2. C. W. Scherer, Review of Book $H_ınfty$ Control and Its Applications by Ben M. Chen, Automatica, vol. 36, pp. 1247–1248, 2000.
22. ### 1999

1. C. W. Scherer, Lower Bounds in Multi-Objective $H_2/H_ınfty$ Problems, in 38th IEEE Conf. Decision and Control, Phoenix, Arizona, 1999, pp. 3605–3610.
2. M. Dettori and C. W. Scherer, Digital Implementation of a Mixed Objectives MIMO Controller for a Compact Disc Player Using a Multiprocessor System, in Proc. American Control Conf., San Diego, CA, 1999, pp. 3630–3634.
3. M. Dettori and C. W. Scherer, Design and Implementation of a Gain Scheduled Controller for a Compact Disc Player, in European Control Conf., Karlsruhe, Germany, 1999, p. 6.
23. ### 1998

1. M. Dettori, C. W. Scherer, and V. Prodanovic, Mixed Objectives MIMO Control Design for a Compact Disc Player, in Proc. American Control Conf., Philadelphia, 1998, pp. 1284–1288.
2. M. Dettori and C. W. Scherer, Gain Scheduling Control for a CD Player Mechanism Using LPV Techniques, in Proc. 6th IEEE Mediterranean Conference on Control and Systems, Alghero, Italy, 1998, pp. 385–390.
24. ### 1997

1. C. W. Scherer, P. Gahinet, and M. Chilali, Multi-objective output-feedback control via LMI optimization, IEEE T. Automat. Contr., vol. 42, pp. 896–911, 1997.
2. S. Bennani, G. Looye, and C. W. Scherer, $\mu$-synthesis, in Robust Flight Control: A Design Challenge, J. F. Magni, S. Bennani, and J. Terlouw, Eds. Berlin: Springer-Verlag, 1997, pp. 81–101.
3. C. W. Scherer, A Full Block S-Procedure with Applications, in 36th IEEE Conf. Decision and Control, San Diego, CA, 1997, pp. 1510–1515.
25. ### 1996

1. C. W. Scherer, Robust generalized $H_2$ control for uncertain and LPV systems with general scalings, in 35th IEEE Conf. Decision and Control, Kobe, Japan, 1996, pp. 3970–3975.
2. P. Gahinet, M. Chilali, and C. W. Scherer, Multi-objective output-feedback Control, in 13th IFAC World Congress, San Francisco, CA, 1996, pp. 249–254.
26. ### 1995

1. C. W. Scherer, A complete algebraic solvability test for the nonstrict Lyapunov inequality, Syst. Contr. Letters, vol. 25, pp. 327–335, 1995.
2. C. W. Scherer, The algebraic Riccati equation and inequality for systems with uncontrollable modes on the imaginary axis, SIAM J. Matrix Anal. A., vol. 16, no. 4, pp. 1308–1327, 1995.
3. C. W. Scherer, Mixed $H_2/H_ınfty$ control for linear parametrically-varying systems, in 34th IEEE Conf. Decision and Control, New Orleans, LO, 1995, pp. 3182–3187.
27. ### 1994

1. C. W. Scherer, The nonstrict algebraic Riccati inequality, in MTNS, Regensburg, Germany, 1994, pp. 461–464.
28. ### 1992

1. C. W. Scherer, $H_ınfty$-control by state-feedback for plants with zeros on the imaginary axis, SIAM J. Contr. Optim., vol. 30, pp. 123–142, 1992.
29. ### 1989

1. C. W. Scherer, $H_ınfty$-control by state-feedback: an iterative algorithm and characterization of high-gain occurrence, Syst. Control Lett., vol. 12 (5), pp. 383--391, 1989.

Current semester

• Teaching assistant: Higher mathematics 1
• SimTech B. Sc.-project supervision: Reinforcement learning

Previous semesters

Summer term 2019

• Teaching assistant: Higher mathematics 2
• SimTech B. Sc.-seminar supervision: Balanced model reduction

Winter term 2018/2019

• Teaching assistant: Higher mathematics 1

Summer term 2018

• Teaching assistant: Dynamical systems
• SimTech B. Sc.-seminar supervision: Robustness for SISO systems

Winter term 2017/2018

• Teaching assistant: Higher mathematics 1

Summer term 2017

• Teaching assistant: Advanced calculus for SimTech 2
• SimTech B. Sc.-seminar supervision: Controllability and observability

Winter term 2016/2017

• Teaching assistant: Robust control

Summer term 2016

• Teaching assistant: Linear matrix inequalities in control