INHALTE
Publications
Adaptive Control
Funnel control
lambda tracking
High-gain control
Differential-Algebraic Equations and Systems
Time-Varying Linear Systems
Stability and robustness
Algebraic theory
Geometric theory
Stability and Stabilization
Applications and Modelling
Philosophy
"Da gibt es in jedem Kulturland Hunderte von produzierenden Mathematikern, von denen jeder nur eine ganz kleine Ecke seiner Wissenschaft beherrscht, die ihm dann begreiflicherweise an Wichtigkeit alles andere zu überragen scheint. Die Früchte seiner Arbeit publiziert er in abgerissenen Einzelaufsätzen in mehreren, womöglich verschiedensprachigen, weitverstreuten Zeitschriften. Die Darstellung, nur für wenige Spezialkollegen berechnet, enthält sich jeder Andeutung eines Zusammenhangs mit größeren allgemeinen Fragen und ist dadurch vielleicht schon einem etwas anderweitig interessierten Kollegen schwer zugänglich, einem größeren Kreise aber gänzlich ungenießbar."
Felix Klein: "Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert, Teil 1"; Verlag Julius Springer, Berlin 1926, Seite 5
"In every civilized country there are now hundreds of producing mathematicians, each commanding only a quite small corner of his science, whose importance seems to him, naturally, to surpass all others. He publishes the fruit of his labor in disjointed, individual articles in various widely dispersed journals, in various languages. The exposition, intended for a few specialist colleagues, refrains from indicating any connection with more general questions. Hence it is barely accessible to colleagues in neighboring fields and totally inaccessible to a larger circle."
Felix Klein: "Development of Mathematics in the 19th Century", Math Sci Press, Brookline, Massachusetts 02146, p. 4
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
- 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
- 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
to appear in: International Journal of Control (2013) [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
- B. D. O. Anderson, A. Ilchmann and F. R. Wirth
Stabilizability of linear time-varying systems
accepted for Systems and Control Letters (2013) [pdf] - Th. Berger and A. Ilchmann
Zero dynamics of time-varying linear systems
Preprint 10-05 (2010) [pdf] - A. Ilchmann and Adrian T. Hill
Exponential stability of time-varying linear systems
IMA Journal of Numerical Analysis 31(3) (2011) 865-885 [pdf] - A. Ilchmann and P.H.A. Ngoc
On positivity and stability of linear time-varying Volterra equations
Positivity 13(4) (2009) 671-681 [pdf] - H. Crauel, T. Damm and A. Ilchmann
Stabilization of linear systems by rotation
J. of Differential Equations 234 (2007) 412-438 [pdf] - L. H. Duc, A. Ilchmann, S. Siegmund and P. Taraba
On stability of linear time-varying second-order differential equations
Quarterly of Appl. Maths. 64 (2006) 137-151 [pdf] - A. Ilchmann and I.M.Y. Mareels
On stability radii of slowly time-varying systems
Advances in Mathematical Systems Theory, Eds.:F. Colonius, U. Helmke, D. Prätzel-Wolters, F.Wirth, Birkhäuser Verlag, Boston (2000) 55-75 [pdf] - A. Ilchmann and B.Werner
Characterization of the stability radius via bifurcation techniques
Applicable Analysis 52 (1994) 231-246 [pdf] - D. Hinrichsen, A. Ilchmann and A. J. Pritchard
A stability radius for time-varying linear systems
The Mathematics of Control Theory, Eds.: N. K. Nichols and D. H. Owens, Oxford University Press, Oxford (1992) 281-290 [pdf] - D. Hinrichsen , A. Ilchmann and A. J. Pritchard
Robustness of stability of time-varying linear systems
J. of Differential Equations 82 (1989) 219-250 [pdf] - A. Ilchmann and G. Kern
Stabilizability of systems with exponential dichotomy
Systems & Control Lett. 8 (1987) 211-220 [pdf] - A. Ilchmann, D. H. Owens and D. Prätzel-Wolters
Sufficient conditions for stability of linear time-varying systems
Systems & Control Lett. 9 (1987) 157-163 [pdf]
Algebraic theory
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
to appear in at-Automatisierungstechnik (2013) [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]