INHALTE
Publications
- Funnel control
- lambda tracking
- High-gain control
Differential-Algebraic Equations and Systems
- Stability and robustness
- Algebraic theory
- Geometric theory
Stability and Stabilization
Applications and Modelling
Philosophy
Books
Campbell, S., Ilchmann, A., Mehrmann, V., Reis, T. (Eds.) Applications of Differential-Algebraic Equations: Examples and Benchmarks Differential-Algebraic Equations Forum. Berlin/Heidelberg: Springer-Verlag, 2019 doi:10.1007/978-3-030-03718-5 |  |
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Achim Ilchmann Non-Identifier-Based High-Gain Adaptive Control Lecture Notes in Control and Information Sciences 184. London: Springer, 1993 [PDF] |
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Achim Ilchmann Contributions To Time-Varying Linear Control Systems Hamburg: Verlag an der Lottbek, 1989 [PDF] |
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| Achim Ilchmann, Timo Reis (Eds.) Surveys in Differential-Algebraic Equations IV Differential-Algebraic Equations Forum. Berlin/Heidelberg: Springer-Verlag, 2017 doi:10.1007/978-3-319-46618-7 |  |
| Achim Ilchmann, Timo Reis (Eds.) Surveys in Differential-Algebraic Equations III Berlin/Heidelberg: Springer-Verlag, 2015 doi:10.1007/978-3-319-22428-2 |  |
| Achim Ilchmann, Timo Reis (Eds.) Surveys in Differential-Algebraic Equations II Differential-Algebraic Equations Forum. Berlin/Heidelberg: Springer-Verlag, 2014 doi:10.1007/978-3-319-11050-9 |  |
Achim Ilchmann, Timo Reis (Eds.) |  |
Latest publications
- A. Ilchmann, J.Kirchhoff
Differential-algebraic systems are generically controllable and stabilizable,
submitted to MCSS, 2020 [PDF]
- T. Berger, A. Ilchmann, E. P. Ryan
Funnel control of nonlinear systems
to appear in MCSS, 2021 [PDF] - A. Ilchmann, J. Witschel, K. Worthmann
Model predictive control for singular differential-algebraic equations
to appear in International Journal of Control, 2021 [PDF] - A. Ilchmann
Das bürgerliche Stadthaus im Rokoko
Tübingen/Berlin: Ernst Wasmuth Verlag, 2018 - A. Ilchmann
Die Baugeschichte eines Rokoko-Stadthauses
Erfurt: Ulenspiegel-Verlag, 2018
Adaptive Control
- A. Ilchmann
Non-Identifier-Based High-Gain Adaptive Control
Lecture Notes in Control and Information Sciences 189, Springer-Verlag, London (1993) [pdf] - A. Ilchmann and E. P. Ryan
High-gain control without identification: a survey
GAMM-Mitteilungen 31 (2008) 115-125 [pdf] - A. Ilchmann
Non-identifier-based adaptive control of dynamical systems: a survey
IMA J. of Math. Control and Inf. 8 (1991) 321-366 [pdf]
Funnel control
- T. Berger, A. Ilchmann, E. P. Ryan
Funnel control of nonlinear systems
to appear in MCSS, 2021 [PDF] - Th. Berger, A. Ilchmann and T. Reis
Funnel control for nonlinear functional differential-algebraic systems
MTNS Groningen, The Netherlands (2014) 46--53 [pdf] - A. Ilchmann, T. Selig, C. Trunk
The Byrnes-Isidori form for infinite-dimensional systems
SIAM J. Control and Opt. 54(3):1504-1534, (2016) [pdf] - Th. Berger, A. Ilchmann and T. Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
pp. 127-164 in "Control and Optimization with Differential-Algebraic Constraints", Eds.: L. Biegler, S.L. Campbell, V. Mehrmann; SIAM, Philadelphia (2012) [pdf] - Th. Berger, A. Ilchmann and T. Reis
Zero dynamics and funnel control of linear differential-algebraic systems
Mathematics of Control, Signals and Systems 24(3) (2012) 219-263 [pdf] - A. Ilchmann
Decentralized tracking of interconnected systems
in: Knut Hüper and Jochen Trumpf (eds.), Mathematical System Theory - Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, CreateSpace (2013) 229-245 [pdf] - C. Hackl, N. Hopfe, A. Ilchmann, M. Mueller and S. Trenn
Funnel Control for systems with relative degree two
SIAM J. of Control and Optimization 51(2):(2013) 965–995 [pdf] - A. Ilchmann, H. Logemann and E. P. Ryan
Tracking with prescribed transient performance for hysteretic systems
SIAM J. of Control and Optimization 48(7):(2010) 4731-4752 [pdf] - N. Hopfe, A. Ilchmann and E. P. Ryan
Funnel control with saturation: nonlinear SISO systems
IEEE Trans. Automatic Control 55(9):(2010) 2177-2182 [pdf] - N. Hopfe, A. Ilchmann and E. P. Ryan
Funnel control with saturation: linear MIMO systems
IEEE Trans. Automatic Control 55(2): (2010) 532-538 [pdf] - A. Ilchmann and M. Mueller
Robustness of funnel control in the gap metric
SIAM J. of Control and Optimization 47(5): (2009) 2724-2744 [pdf] - A. Ilchmann and E. P. Ryan
Performance funnels and tracking control
Int. J. of Control 82(10): (2009) 1828-1840 [pdf] - A. Ilchmann and H. Schuster
PI-funnel control for two mass systems
IEEE Trans. Automatic Control 54 (2009) 918-923 [pdf] - A. Ilchmann, E. P. Ryan and P. Townsend
Tracking with prescribed transient behaviour for nonlinear systems of known relative degree
SIAM J. of Control and Optimization 46 (2007) 210-230 [pdf] - A. Ilchmann and E. P. Ryan
Asymptotic tracking with prescribed transient behaviour for linear systems
Int. J. Control 79 (2006) 910-917 [pdf] - A. Ilchmann, E. P. Ryan and P. Townsend
Tracking control with prescribed transient behaviour for systems of known relative degree
Systems & Control Lett. 55 (2006) 396-406 [pdf] - A. Ilchmann, E.P. Ryan and S. Trenn
Tracking control: performance funnels and prescribed transient behaviour
Systems & Control Lett. 54 (2005) 655-670 [pdf] - A. Ilchmann and S. Trenn
Input constrained funnel control with applications to chemical reactor models
Systems & Control Lett. 53 (2004) 361-375 [pdf] - A. Ilchmann, E.P. Ryan and C.J. Sangwin
Tracking with prescribed transient behaviour
ESAIM: Control, Optimisation and Calculus of Variations 7 (2002) 471-493 [pdf]
lambda-tracking
- A. Ilchmann and M. Mueller
Robustness of lambda-tracking in the gap metric
SIAM J. of Control and Optimization 5 (2008) 2724-2744 [pdf] - A. Ilchmann, M. Thuto and S. Townley
Input constrained adaptive tracking with applications to exothermic chemical reactions
SIAM J. Contr. and Opt. 43 (2004) 154-173 [pdf] - A. Ilchmann, E.P. Ryan and C.J. Sangwin
Systems of controlled functional differential equations and adaptive tracking
SIAM J. of Control & Optimization 40 (2002) 1746-1764 [pdf] - P. Georgieva and A. Ilchmann
Adaptive lambda-tracking control of activated sludge processes
Int. J. of Control 74 (2001) 1247-1259 [pdf] - A. Ilchmann and S. Townley
Adaptive high-gain lambda-tracking with variable sampling rate
Systems & Control Lett. 36 (1999) 285-293 [pdf] - A. Ilchmann and H. Logemann
Adaptive lambda-tracking for a class of infinite-dimensional systems
Systems & Control Lett. 34 (1998) 11-21 [pdf] - A. Ilchmann and M. Pahl
Adaptive multivariable regulation of a Biogas Tower Reactor
European J. of Control 4 (1998) 116-131 [pdf] - A. Ilchmann
Adaptive lambda-tracking for polynomial minimum phase systems
Dynamics and Stability of Systems 13 (1998) 341-371 [pdf] - F. Allgöwer, J. Ashmann and A. Ilchmann
High-gain adaptive lambda-tracking for nonlinear systems
Automatica 33 (1997) 881-888 [pdf] - A. Ilchmann and E.P. Ryan
Universal lambda-tracking for nonlinearly perturbed systems in the presence of noise
Automatica 30 (1994) 337-346 [pdf]
High-gain control
- M. French, A. Ilchmann and E. P. Ryan
Robustness in the graph topology of a common adaptive controller
SIAM J. of Control and Optimization 45 (2006) 1736-1757 [pdf] - A. Ilchmann, S. Townley and M. Thuto
Adaptive sampled-data tracking for input constrained exothermic chemical reaction models
Systems & Control Lett. 54 (2005) 1149-1161 [pdf] - A. Ilchmann and E.P. Ryan
On tracking and disturbance rejection by adaptive control
Systems & Control Lett. 52 (2004) 137-147 [pdf] - A. Ilchmann and E.P. Ryan
On gain adaptation in adaptive control
IEEE Trans. Aut. Control 48 (2003) 895-899 [pdf] - A. Ilchmann and A. Isidori
Adaptive dynamic output feedback stabilisation of nonlinear systems
Asian Journal of Control 4 (2002) 1-9 [pdf] - P. Georgieva, A. Ilchmann and M.-F. Weirig
Modelling and adaptive control of aerobic continuous stirred tank reactors
European J. of Control 7 (2001) 476-491 [pdf] - I.M.Y.Mareels, S. Van Gils, J.W. Polderman and A. Ilchmann
Asymptotic dynamics in adaptive gain control
Advances in Control, Highlights of ECC '99, Ed.: P.M. Frank, Springer-Verlag, London (1999) 29-63 [pdf] - A. Ilchmann and S. Townley
Adaptive sampling control of high-gain stabilizable systems
IEEE Trans. Autom. Control 44 (1999) 1961-1966 [pdf] - A. Ilchmann
Universal adaptive control of nonlinear systems
Dynamics and Control 7 (1997) 199-213 [pdf] - A. Ilchmann
Adaptive stabilization
EncyclopaediaofMathematics, First Supplement, Managing Ed.:M.Hazewinkel,KluwerAcademic Publishers, Dordrecht, Boston (1997) 28-29 [pdf] - H. Logemann and A. Ilchmann
An adaptive servomechanism for a class of infinite-dimensional systems
SIAM J. on Control and Opt. 32 (1994) 917-936 [pdf] - A. Ilchmann
Adaptive controllers and root-loci of minimum phase systems
Dynamics and Control 4 (1994) 203-226 [pdf] - A. Ilchmann and S. Townley
Simple adaptive stabilization of high-gain stabilizable systems
Systems & Control Lett. 20 (1993) 189-198 [pdf] - A. Ilchmann and D.H. Owens
Adaptive exponential tracking for nonlinearly perturbed minimum phase systems
Control-Theory and Advanced Technology 9 (1993) 353-379 [pdf] - A. Ilchmann and H. Logemann
High-gain adaptive tabilization of multivariable linear systems - revisited
Systems & Control Lett. 18 (1992) 355-364 [pdf] - A. Ilchmann and D. H. Owens
Exponential stabilization using non-differential gain adaptation
IMA J. of Math. Control and Inf. 7 (1991) 339-349 [pdf] - A. Ilchmann and D. H. Owens
Threshold switching functions in high-gain adaptive control
IMA J. of Math. Control and Inf. 8 (1991) 409-429 [pdf] - A. Ilchmann
Robust adaptive stabilization of discrete first order systems
Automatica 27 (1991) 829-835 [pdf] - A. Ilchmann and D. H. Owens
Adaptive stabilization with exponential decay
Systems & Control Lett. 14 (1990) 437-443 [pdf] - D. Prätzel-Wolters, D. H. Owens and A. Ilchmann
Robust adaptive stabilization by high gain and switching
Int. J. Control 49 (1989) 1861-1868 [pdf] - A. Ilchmann, D. H. Owens and D. Prätzel-Wolters
High gain robust adaptive controllers for multivariable systems
Systems & Control Lett. 8 (1987) 397-404 [pdf] - D. H. Owens, D. Prätzel-Wolters and A. Ilchmann
Positive real structure and high gain adaptive stabilization
IMA J. of Math. Control and Inf. 4 (1987) 167-181 [pdf]
Differential-Algebraic Equations and Systems
- A. Ilchmann, J.Kirchhoff
Differential-algebraic systems are generically controllable and stabilizable,
submitted to MCSS, 2020 [PDF] - A. Ilchmann, J. Witschel, K. Worthmann
Model predictive control for singular differential-algebraic equations
to appear in International Journal of Control, 2021 [PDF] - A. Ilchmann, L. Leben, J. Witschel, K. Worthmann
Optimal control of differential-algebraic equations from an ordinary differential equation perspective
Optimal Control, Applications and Methods, 40:351-366, 2019 [PDF] - A. Ilchmann, T. Reis
Outer transfer functions of differential-algebraic systems
ESAIM: Control, Opt. and Calculus of Variations 23(2) (2017) 391-425 [pdf] - Th. Berger, A. Ilchmann and T. Reis
Funnel control for nonlinear functional differential-algebraic systems
MTNS, Groningen pp. 46-53 (2014) [pdf] - Th. Berger, A. Ilchmann and T. Reis
Normal forms, high-gain and funnel control for linear differential-algebraic systems
pp. 127-164 in "Control and Optimization with Differential-Algebraic Constraints", Eds.: L. Biegler, S.L. Campbell, V. Mehrmann; SIAM, Philadelphia (2012) [pdf] - Th. Berger, A. Ilchmann and T. Reis
Zero dynamics and funnel control of linear differential-algebraic systems
Mathematics of Control, Signals and Systems 24(3) (2012) 219-263 [pdf] - Th. Berger and A. Ilchmann
On stability of time-varying linear differential-algebraic equations
Int. J. of Control 86(6) (2013) 1060–1076 [pdf] - Th. Berger and A. Ilchmann
On the standard canonical form of time-varying linear DAEs
Quarterly of Applied Mathematics 71 (2013) 69-87 [pdf] - Th. Berger, A. Ilchmann and St. Trenn
The quasi-Weierstraß form for regular matrix pencils
Linear Algebra and its Appl. 436 (2012) 4052-4069 [pdf] - A. Ilchmann and V. Mehrmann
A behavioural approach to time-varying linear systems, Part 2: Descriptor systems
SIAM J. of Control and Optimization 44 (2005) 1748-1765 [pdf] - A. Ilchmann and V. Mehrmann
A behavioural approach to time-varying linear systems, Part 1: General theory
SIAM J. of Control and Optimization 44 (2005) 1725-1747 [pdf] - A. Ilchmann
Algebraic theory of time-varying linear systems: a survey
in `Selected Plenaries, Milestones and Surveys' Eds.: P. Horacek, M. Simandl, P. Zitek; Prague, Czech Republic (2005) 312-318 [pdf] - M.d.R. De Pinho and A. Ilchmann
Weak maximum principle for optimal problems with mixed constraints
Nonlinear Analysis 48 (2002) 1179-1196 [pdf] - A. Ilchmann
Time-varying linear systems and invariants of system equivalence
Int. J. Control 42 (1985) 759-790 [pdf] - A. Ilchmann, I. Nürnberger and W. Schmale
Time-varying polynomial matrix systems
Int. J. Control 40 (1984) 329-362 [pdf]
Time-Varying Linear Systems
| A. Ilchmann Contributions to Time-Varying Linear Systems Verlag an der Lottbek, Hamburg (1989) [pdf] |  |
Stability and robustness
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Algebraic theory
- A. Ilchmann and V. Mehrmann
A behavioural approach to time-varying linear systems, Part 2: Descriptor systems
SIAM J. of Control and Optimization 44 (2005) 1748-1765 [pdf] - A. Ilchmann and V. Mehrmann
A behavioural approach to time-varying linear systems, Part 1: General theory
SIAM J. of Control and Optimization 44 (2005) 1725-1747 [pdf] - A. Ilchmann
Algebraic theory of time-varying linear systems: a survey
in `Selected Plenaries, Milestones and Surveys' Eds.: P. Horacek, M. Simandl, P. Zitek; Prague, Czech Republic (2005) 312-318 [pdf] - A. Ilchmann
Time-varying linear systems and invariants of system equivalence
Int. J. Control 42 (1985) 759-790 [pdf] - A. Ilchmann, I. Nürnberger and W. Schmale
Time-varying polynomial matrix systems
Int. J. Control 40 (1984) 329-362 [pdf]
Geometric theory
- A. Ilchmann
Time-varying linear control systems: A geometric approach
IMA J. of Math. Control and Inf. 6 (1989) 411-440 [pdf]
Stability and Stabilization
- Achim Ilchmann and Fabian Wirth
On Minimum Phase
at-Automatisierungstechnik 61(12) (2013) 805–817 [pdf] - Achim Ilchmann, Zhenqing Ke, Hartmut Logemann
Indirect sampled-data control with sampling period adaptation
Int. J. Control 84(2) (2011) 424-431 [pdf] - A. Ilchmann and P.H.A. Ngoc
Stability and robust stability of positive Volterra systems
Int. J. Robust and Nonlinear Control 22(6) (2012) 604-629 [pdf] - M. French, A. Ilchmann and M. Mueller
Robust stabilization by linear output delay feedback
SIAM J. of Control and Optimization 48 (2009) 2533–2561 [pdf] - A. Ilchmann, O. Sawodny and S. Trenn
Pneumatic cylinders: modelling and feedback force-control
Int. J. Control 79 (2006) 650-661 [pdf] - A. Ilchmann and C.J. Sangwin
Output feedback stabilisation by delays
Systems & Control Lett. 52 (2004) 233-245 [pdf]
Applications and Modelling
- A. Ilchmann and H. Schuster
PI-funnel control for two mass systems
IEEE Trans. Automatic Control 54 (2009) 918-923 [pdf] - A. Ilchmann, O. Sawodny and S. Trenn
Pneumatic cylinders: modelling and feedback force-control
Int. J. Control 79 (2006) 650-661 [pdf] - A. Ilchmann, S. Townley and M. Thuto
Adaptive sampled-data tracking for input constrained exothermic chemical reaction models
Systems & Control Lett. 54 (2005) 1149-1161 [pdf] - A. Ilchmann and S. Trenn
Input constrained funnel control with applications to chemical reactor models
Systems & Control Lett. 53 (2004) 361-375 [pdf] - A. Ilchmann, M. Thuto and S. Townley
Input constrained adaptive tracking with applications to exothermic chemical reactions
SIAM J. Contr. and Opt. 43 (2004) 154-173 [pdf] - P. Georgieva, A. Ilchmann and M.-F. Weirig
Modelling and adaptive control of aerobic continuous stirred tank reactors
European J. of Control 7 (2001) 476-491 [pdf] - S. Townley, A. Ilchmann, M. G. Weiß, McClements, A. C. Ruiz, D. H. Owens and D. Prätzel-Wolters
Existence and learning of oscillations in recurrant neural networks
IEEE Trans. Neural Networks 11 (2000) 205-214 [pdf] - A. Ilchmann and M.-F. Weirig
Modelling of general biotechnological processes
Mathematical Modelling of Dynamical Systems 5 (1999) 152-178 [pdf] - A. Ilchmann and M. Pahl
Adaptive multivariable regulation of a Biogas Tower Reactor
European J. of Control 4 (1998) 116-131 [pdf] - A.P. Bassom, A. Ilchmann and H. Voß
Oxygen diffusion in tissue preparations with Michaelis-Menten kinetics
J. of Theor. Biology 185 (1997) 119-127 [pdf]
Architecture
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