Loading content
Dr Markus Mueller

Dr Markus Mueller

Senior Lecturer in Applied Mathematics

 01326 259483

 Environment and Sustainability Institute 1.27c

 

Environment and Sustainability Institute, University of Exeter, Penryn Campus, Penryn, Cornwall, TR10 9FE, UK

 Office hours:

Please send an email to arrange a meeting.

Overview

My research is grounded in mathematical systems and control theory and finds application in marine engineering, renewable energy, built infrastructure, systems biology, and human health and well-being.

Further, I am helping to develop the Mathematical Sciences taught programmes at the university's Penryn Campus and I am currently contributing to a number of modules for undergraduate students. A strong focus of the teaching lies in the interdisciplinarity of mathematics and its use within science and engineering.

I am also a member of the Mathematics department in the College of Engineering, Mathematics and Physical Sciences.

You can view my Google Scholar account here.

You can find out more by watching a two-minute video of me explaining my work.

Qualifications

2014 Fellow of the Higher Eduction Academy
2009 Dr. rer. nat. in Mathematics (Ilmenau University of Technology, Germany)
2005 Diploma in Mathematics (Ilmenau University of Technology, Germany)

Career

2017-present Senior Lecturer, University of Exeter
2012-2017 Lecturer, University of Exeter
2010-2012 Associate Research Fellow, University of Exeter
2009-2010 Associate Research Fellow, University of Melbourne, Australia
2006-2009 DFG PhD Research Fellow, Ilmenau University of Technology, Germany
2005-2006 Research Assistant, University of Southampton

Research group links

Research

Research interests

  • Systems theory: time-varying linear systems, nonlinear systems, systems with multi-dimensional inputs/outputs (e.g. vector relative degree), stability analysis
  • Robust control: adaptive and funnel control, robustness analysis using operator theoretical approaches (e.g. gap metric)
  • Optimal control: linear programming, model predictive control
  • Applications of control theory:
    • Wave Energy Converters: point absorbers, oscillating water columns
    • Population ecology: species-species interactions, pest management, invasive species
    • Built invironment: facilities portfolio management
    • Human health and wellbeing: human-buildings interactions

Research projects

Current projects and responsibilities:

  • OPERA: Open Sea Operating Experience to Reduce Wave Energy Cost (H2020, CoI) responsibilites: control strategies for oscillating water column wave energy converters
  • Marine-i (ERDF, CoI), responsibilities: research, development and innovation support for the marine technology sector in Cornwall and the Isles of Scilly
  • Smartline: Smart wellbeing inspired by the community (ERDF, CoI), responsibilities: research, development and innovation into technologies for "smart houses" to support human health and well-being
  • The Magnetic Open to Closed Characterisation of Magnetic Materials and 3D Magnets at elevated temperatures (InnovateUK KTP with Hirst Magnetic Instruments Ltd., Lead Academic), responsibilities: modelling and simulations to make open magnetic circuit characterisation techniques more acceptable to the magnetics market
  • Environmental Growth for Business (ERDF, CoI), responsibilities: modelling for ecosystem services and circular economics approaches

Completed projects:

  • Smart Facilities Management (2015 - 2017, InnovateUK KTP with NJW Limited, Academic Supervisor), responsibilities: development and implementation of a smart facilities management tool to deliver scenario planning capability

Publications

Key publications | Publications by category | Publications by year

Key publications


Guiver C, Mueller M, Hodgson D, Townley S (2016). Robust set-point regulation for ecological models with multiple management goals. J Math Biol, 72(6), 1467-1529. Abstract.  Author URL.  Full text.
Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S (2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management. SIAM Journal on Applied Mathematics, 76(1), 238-275. Full text.
Rüffer BS, Van De Wouw N, Mueller M (2013). Convergent systems vs. incremental stability. Systems and Control Letters, 62(3), 277-285. Abstract.
Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S (2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 51(2), 965-995. Author URL.  Full text.

Publications by category


Journal articles

Maier M, Mueller M, Yan X (In Press). Introducing a Localised Spatio-temporal LCI Method with wheat production as exploratory case study. Journal of Cleaner Production Full text.
Nicol‑Harper A, Dooley C, Packman D, Mueller M, Bijak J, Hodgson D, Townley S, Ezard T (2018). Inferring transient dynamics of human populations from matrix non-normality. Population Ecology Full text.
Guiver C, Mueller M, Hodgson D, Townley S (2016). Robust set-point regulation for ecological models with multiple management goals. J Math Biol, 72(6), 1467-1529. Abstract.  Author URL.  Full text.
Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S (2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management. SIAM Journal on Applied Mathematics, 76(1), 238-275. Full text.
Rüffer BS, Van De Wouw N, Mueller M (2013). Convergent systems vs. incremental stability. Systems and Control Letters, 62(3), 277-285. Abstract.
Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S (2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 51(2), 965-995. Author URL.  Full text.
Ruffer BS, Van De Wouw N, Mueller M (2012). From convergent dynamics to incremental stability. Proceedings of the IEEE Conference on Decision and Control, 2958-2963.
Li G, Weiss G, Mueller M, Townley S, Belmont MR (2012). Wave energy converter control by wave prediction and dynamic programming. Renewable Energy, 48, 392-403. Abstract.
Mueller M (2009). Normal form for linear systems with respect to its vector relative degree. Linear Algebra and its Applications, 430(4), 1292-1312. Abstract.
French M, Ilchmann A, Mueller M (2009). Robust stabilization by linear output delay feedback. SIAM J. Control Optim., 48(4), 2533-2561. Abstract.
Ilchmann A, Mueller M (2009). Robustness of funnel control in the gap metric. SIAM J. Control Optim., 48(5), 3169-3190. Abstract.
Ilchmann A, Mueller M (2008). Robustness of λ-tracking in the gap metric. SIAM J. Control Optim., 47(5), 2724-2744. Abstract.
Ilchmann A, Mueller M (2007). Time-varying linear systems: relative degree and normal form. IEEE Trans. Aut. Control, 52(5), 840-851. Abstract.

Conferences

Faÿ F-X, Kelly J, Henriques J, Pujana A, Abusara M, Mueller M, Touzon I, Ruiz-Minguela P (2018). Numerical Simulation of Control Strategies at Mutriku Wave Power Plant. ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. 17th - 22nd Jun 2018.
Maier M, Mueller M, Yan X (2017). Introduction of a spatiotemporal Life Cycle Inventory method using a wind energy example.  Abstract.  Full text.
Mueller M, Cantoni M (2010). Normalized coprime representations for time-varying linear systems. appears: Proc. 49th IEEE Conf. Decis. Control.  Abstract.  Full text.
Ilchmann A, Mueller M (2010). Robustness of funnel control in the gap metric. appears: Proc. 49th IEEE Conf. Decis. Control.  Abstract.  Full text.
Ilchmann A, Mueller M (2009). Robustness of λ-tracking and funnel control in the gap metric. Proc. Joint 48th IEEE Conf. Decis. Control and 28th Chinese Contr. Conf.  Abstract.  Full text.

Publications by year


In Press

Maier M, Mueller M, Yan X (In Press). Introducing a Localised Spatio-temporal LCI Method with wheat production as exploratory case study. Journal of Cleaner Production Full text.

2018

Nicol‑Harper A, Dooley C, Packman D, Mueller M, Bijak J, Hodgson D, Townley S, Ezard T (2018). Inferring transient dynamics of human populations from matrix non-normality. Population Ecology Full text.
Faÿ F-X, Kelly J, Henriques J, Pujana A, Abusara M, Mueller M, Touzon I, Ruiz-Minguela P (2018). Numerical Simulation of Control Strategies at Mutriku Wave Power Plant. ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. 17th - 22nd Jun 2018.

2017

Maier M, Mueller M, Yan X (2017). Introduction of a spatiotemporal Life Cycle Inventory method using a wind energy example.  Abstract.  Full text.

2016

Guiver C, Mueller M, Hodgson D, Townley S (2016). Robust set-point regulation for ecological models with multiple management goals. J Math Biol, 72(6), 1467-1529. Abstract.  Author URL.  Full text.
Guiver C, Edholm C, Jin Y, Mueller M, Powell J, Rebarber R, Tenhumberg B, Townley S (2016). Simple Adaptive Control for Positive Linear Systems with Applications to Pest Management. SIAM Journal on Applied Mathematics, 76(1), 238-275. Full text.

2013

Rüffer BS, Van De Wouw N, Mueller M (2013). Convergent systems vs. incremental stability. Systems and Control Letters, 62(3), 277-285. Abstract.
Hackl CM, Hopfe N, Ilchmann A, Mueller M, Trenn S (2013). FUNNEL CONTROL FOR SYSTEMS WITH RELATIVE DEGREE TWO. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 51(2), 965-995. Author URL.  Full text.

2012

Ruffer BS, Van De Wouw N, Mueller M (2012). From convergent dynamics to incremental stability. Proceedings of the IEEE Conference on Decision and Control, 2958-2963.
Li G, Weiss G, Mueller M, Townley S, Belmont MR (2012). Wave energy converter control by wave prediction and dynamic programming. Renewable Energy, 48, 392-403. Abstract.

2010

Mueller M, Cantoni M (2010). Normalized coprime representations for time-varying linear systems. appears: Proc. 49th IEEE Conf. Decis. Control.  Abstract.  Full text.
Ilchmann A, Mueller M (2010). Robustness of funnel control in the gap metric. appears: Proc. 49th IEEE Conf. Decis. Control.  Abstract.  Full text.

2009

Mueller M (2009). Normal form for linear systems with respect to its vector relative degree. Linear Algebra and its Applications, 430(4), 1292-1312. Abstract.
Mueller M (2009). Output Feedback Control and Robustness in the Gap Metric.
French M, Ilchmann A, Mueller M (2009). Robust stabilization by linear output delay feedback. SIAM J. Control Optim., 48(4), 2533-2561. Abstract.
Ilchmann A, Mueller M (2009). Robustness of funnel control in the gap metric. SIAM J. Control Optim., 48(5), 3169-3190. Abstract.
Ilchmann A, Mueller M (2009). Robustness of λ-tracking and funnel control in the gap metric. Proc. Joint 48th IEEE Conf. Decis. Control and 28th Chinese Contr. Conf.  Abstract.  Full text.

2008

Ilchmann A, Mueller M (2008). Robustness of λ-tracking in the gap metric. SIAM J. Control Optim., 47(5), 2724-2744. Abstract.

2007

Ilchmann A, Mueller M (2007). Time-varying linear systems: relative degree and normal form. IEEE Trans. Aut. Control, 52(5), 840-851. Abstract.

2005

Mueller M (2005). A normal form for time-varying linear systems.  Abstract.
Mueller M (2005). Lemmata zum Hurwitz-Kriterium.

Markus_Mueller Details from cache as at 2019-08-19 16:12:27

Refresh publications

Teaching

I am interested in sharing pure and applied mathematics knowledge with students in our Mathematical Sciences and any other degree programmes.

I am particularly interested in Calculus and Analysis, Linear Algebra, Differential Equations and Dynamical System, System and Control Theory, and interdisciplinary teaching.

Modules

I am leading (or contributing to) the modules:

In recent years, I have lead or contributed to the modules:

Supervision / Group

Research Fellows

  • Jack Wade (KTP Associate)

Postdoctoral researchers

  • Maria Correa Cano (Honorary Research Associate)
  • Tamaryn Menneer (Postdoctoral Research Fellow)

Postgraduate researchers

  • Sohaib Talal Al-Ramadhani (PhD Student)
  • Yasser Alrashedi (PhD Student)
  • Kevin Bolton (PhD Student)

Alumni

  • Kirubhakaran Krishnanathan (former KTP Associate)
  • Marina Maier (graduated 2018)

Back | Edit Profile