http://www.tu-ilmenau.de

Logo TU Ilmenau


INHALTE

Publications

Books

   Surveys in Differential-Algebraic Equations I                       

   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

 

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]

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Funnel control 

  • Th. Berger, A. Ilchmann and T. Reis
    Funnel control for nonlinear functional differential-algebraic systems
    submitted to MTNS 2014  [pdf]
  • A. Ilchmann, T. Selig, C. Trunk
    The Byrnes-Isidori form for infinite-dimensional systems
    submitted to SIAM J. Control and Opt. (2013) [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]

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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]

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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]

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Differential-Algebraic Equations and Systems

  • Th. Berger, A. Ilchmann and T. Reis
    Funnel control for nonlinear functional differential-algebraic systems
    submitted to MTNS 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]

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Stability and robustness

  • Th. Berger, A. Ilchmann and F. Wirth
    Zero dynamics and stabilization for analytic linear systems
    submitted to "Acta Applicandae Mathematicae"  [pdf]
  • B. D. O. Anderson, A. Ilchmann and F. R. Wirth
    Stabilizability of linear time-varying systems
    Systems and Control Letters 62(9) (2013) 747–755  [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]
  • A. Ilchmann and M. Mueller
    Time-varying linear systems: relative degree and normal form
    IEEE Trans. Aut. Control 52 (2007) 840-851 [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]

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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]

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Geometric theory

  • A. Ilchmann
    Time-varying linear control systems: A geometric approach
    IMA J. of Math. Control and Inf. 6 (1989) 411-440 [pdf]

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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]

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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]

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Philosophy

  • A. Ilchmann
    Kritik der Übergänge zu den ersten Kategorien in Hegels Wissenschaft der Logik
    Hegel-Studien 27 (1992) 11-25 [pdf]

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