Dr Paul Trodden

School of Electrical and Electronic Engineering

Senior Lecturer

Theme Lead for Control

p.trodden@sheffield.ac.uk
+44 114 222 5679
Amy Johnson Building

Full contact details

Dr Paul Trodden
School of Electrical and Electronic Engineering
Amy Johnson Building
Portobello Street
Sheffield
S1 3JD
Profile

I studied Engineering Science as an undergraduate at the University of Oxford, graduating in 2003. After a short spell in industry, working as a Systems Engineer for BAE Systems, I studied for a PhD in Aerospace Engineering at the University of Bristol, graduating in 2009. The title of my PhD thesis was Robust distributed control for constrained linear systems.

After Bristol, I joined the School of Mathematics at the University of Edinburgh, where I worked on problems related to optimization in electrical power systems.

Since 2012 I have been with the University of Sheffield, first as a Lecturer (2012–2021) and then as a Senior Lecturer (2022–).

My research interests lie in analysing and designing controllers for dynamic systems that are subject to constraints; I have particular interest and expertise in Model Predictive Control (MPC). I am interested in applications of control and optimization to problems in aerospace and power systems.

Qualifications
  • PhD (Aerospace Engineering), University of Bristol, 2009.
  • MEng (Engineering Science), University of Oxford, 2003.
Research interests

Model predictive control
My research aims to develop novel theory and algorithms for model predictive control (MPC). MPC is an advanced control technique that uses online optimization to provide optimal but safe control inputs for a system whose variables (inputs, states and outputs) are subject to physical or operational limits. I am interested in several challenging aspects and instances of this problem, including distributed MPC for large-scale systems, adaptive and robust MPC for uncertain and time-varying systems, and networked MPC for systems that communicate with their controllers over imperfect channels. My interest is in developing new theory and algorithms for MPC, with focus on developing controllers that are implementable (in terms of design simplicity and computational tractability) yet achieve desirable guarantees (e.g. of fundamental properties such as stability and constraint satisfaction).

Invariant set theory and computation
My research in this area involves developing theory and algorithms for the characterization and computation of invariant sets for uncertain systems. Invariant sets describes regions of a systems state space where safe and stable operation is guaranteed. These sets play an important and fundamental role in the analysis and design of advanced control systems.

Applications of control and optimization
Power systems and smart grids
My current research in this area applies predictive control theory and efficient optimization algorithms to control and planning problems in smart grids and power networks. I have published research on problems including optimal power flow (OPF), economic dispatch, load-frequency control, and controlled islanding for the prevention of blackouts.

Aerospace
I have a long standing interest in control and optimization for spacecraft, e.g. trajectory optimization, rendezvous and docking. I provide control research leadership to the Rolls-Royce University Technology Centre in Control, Monitoring and Systems Engineering, where our current research involves developing advanced control laws for the next generation of large civil gas turbine engines, and hybrid electric power plant.

Publications

Journal articles

  • Raković SV & Trodden P (2025) . Automatica, 171.
  • Kisinga DA, Makolo P & Trodden P (2024) . IET Renewable Power Generation, 18(14), 2723-2736.
  • Michos G, Konstantopoulos GC & Trodden PA (2024) . IEEE Control Systems Letters, 8, 2325-2330.
  • Michos G, Baldivieso Monasterios P, Konstantopoulos G & Trodden P (2024) . IEEE Transactions on Control of Network Systems, 11(1), 427-438.
  • Sánchez-Amores A, Maestre JM, Trodden PA & Camacho EF (2023) . IEEE Control Systems Letters, 7, 2293-2298.
  • Masero E, Baldivieso Monasterios P, Maestre JM & Trodden P (2023) . Automatica, 153.
  • Vicente BAH, Trodden PA & Anderson SR (2022) . IEEE Transactions on Control Systems Technology, 31(3), 1395-1410.
  • Guicherd R, Trodden PA, Mills AR & Kadirkamanathan V (2022) . International Journal of Control, 95(5), 1371-1382.
  • Guicherd R, Mills AR, Trodden PA & Kadirkamanathan V (2021) . IEEE Control Systems Letters, 5(4), 1393-1398.
  • Baldivieso-Monasterios PR & Trodden PA (2021) . Automatica, 125, 109380-109380.
  • Monasterios PRB & Trodden PA (2019) . IEEE Transactions on Automatic Control, 64(9), 3831-3838.
  • Hernandez Vicente BA & Trodden PA (2019) . Systems & Control Letters, 126, 58-66.
  • Baldivieso Monasterios PR & Trodden P (2017) . IEEE Transactions on Smart Grid, 8(6), 3045-3054.
  • Trodden PA & Maestre JM (2017) . Automatica, 77, 31-43.
  • Trodden P (2016) . IEEE Transactions on Automatic Control, 61(12), 4100-4105.
  • Trodden P (2014) . Systems & Control Letters, 74, 98-107.
  • Trodden P, Bukhsh W, Grothey A & McKinnon K (2014) . IEEE Transactions on Power Systems, 29(3), 1212-1220.
  • Bukhsh WA, Grothey A, McKinnon KIM & Trodden PA (2013) . IEEE Transactions on Power Systems, 28(4), 4780-4788.
  • Trodden P & Richards A (2013) . Automatica, 49(2), 479-487.
  • Trodden PA, Bukhsh WA, Grothey A & McKinnon KIM (2013) . International Journal of Electrical Power and Energy Systems, 45(1), 501-508.
  • Hartley EN, Trodden PA, Richards AG & Maciejowski JM (2012) . Control Engineering Practice, 20(7), 695-713.
  • Trodden P & Richards A (2010) . International Journal of Control, 83(8), 1653-1663.
  • Vicente BAH & Trodden PA () . IEEE Transactions on Automatic Control, 64(10), 4345-4352.

Book chapters

  • Grothey A, Bukhsh WA, McKinnon KIM & Trodden P (2013) In Kovacevic RM, Pflug GC & Vespucci MT (Ed.), Handbook of Risk Management in Energy Production and Trading (pp. 203-228). Springer
  • Trodden P & Richards A (2013) In Maestre Torreblanca JM & Negenborn RR (Ed.), Distributed Model Predictive Control Made Easy (pp. 57-72). Dordrecht: Springer.

Conference proceedings

  • Escamilla HM & Trodden P (2024) . 2024 UKACC 14th International Conference on Control (CONTROL) (pp 60-65). Winchester, United Kingdom, 10 April 2024 - 10 April 2024.
  • Loma-Marconi P, Trodden P & Esnaola I (2024) . 2024 UKACC 14th International Conference on Control (CONTROL) (pp 295-300), 10 April 2024 - 12 April 2024.
  • Masero E, Baldivieso-Monasterios PR, Maestre JM, Trodden PA & Camacho EF (2023) . IFAC-PapersOnLine, Vol. 56(2) (pp 7704-7709)
  • Omaruddin A & Trodden P (2023) . IFAC-PapersOnLine, Vol. 56(2) (pp 10910-10916)
  • Asuk A & Trodden P (2023) . IFAC-PapersOnLine, Vol. 56(2) (pp 10935-10940)
  • Escamilla HM, Trodden P & Kadirkamanathan V (2023) . IFAC-PapersOnLine, Vol. 56(2) (pp 9540-9545)
  • Trodden P, Loma-Marconi P & Esnaola I (2023) . IFAC-PapersOnLine, Vol. 56(2) (pp 3818-3823)
  • Kisinga DA & Trodden P (2023) . 2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE) (pp 1-5), 23 October 2023 - 26 October 2023.
  • Mohammad A.M. S, Rossiter JA & Trodden PA (2023) . 2023 European Control Conference (ECC) (pp 1-6), 13 June 2023 - 16 June 2023.
  • Michos G, Konstantopoulos GC, Trodden PA & Kadirkamanathan V (2023) . 2023 31st Mediterranean Conference on Control and Automation (MED) (pp 239-244), 26 June 2023 - 29 June 2023.
  • Kisinga DA & Trodden P (2023) . 2023 IEEE Belgrade PowerTech (pp 01-06), 25 June 2023 - 29 June 2023.
  • Viggiano C, Trodden P, Caicedo E & Alfonso W (2022) . 2022 International Conference on Smart Energy Systems and Technologies (SEST) (pp 1-6), 5 September 2022 - 7 September 2022.
  • Kisinga DA, Makolo P & Trodden P (2022) . 2022 IEEE PES/IAS PowerAfrica (pp 1-5), 22 August 2022 - 26 August 2022.
  • Asuk A & Trodden P (2021) . Proceedings of the 7th IFAC Conference on Nonlinear Model Predictive Control (NMPC 21), 11 July 2021 - 14 July 2021.
  • Asuk A & Trodden P (2021) . Proceedings of the 2021 American Control Conference (ACC 2021) (pp 3800-3805), 24 May 2021 - 28 May 2021.
  • Guicherd R, Mills AR, Trodden PA & Kadirkamanathan V (2021) . 2021 American Control Conference (ACC) (pp 3794-3799), 25 May 2021 - 28 May 2021.
  • Trodden PA, Maestre JM & Ishii H (2020) . IFAC-PapersOnLine, Vol. 53(2) (pp 6963-6968)
  • Trodden PA & Monasterios PRB (2019) . 2019 IEEE 58th Conference on Decision and Control (CDC) (pp 1089-1095), 11 December 2019 - 13 December 2019.
  • Baldivieso Monasterios PR, Trodden PA & Cannon M (2019) . 2019 IEEE 58th Conference on Decision and Control (CDC) (pp 4668-4673), 11 December 2019 - 13 December 2019.
  • Ajiborisha A & Trodden P (2019) . 2019 IEEE Conference on Control Technology and Applications (CCTA) (pp 196-202), 19 August 2019 - 21 August 2019.
  • Sanusi I, Mills A, Trodden P, Kadirkamanathan V & Dodd T (2019) . 2019 18th European Control Conference (ECC) (pp 3928-3933). Naples, Italy, 25 June 2019 - 25 June 2019.
  • Maestre JM, Trodden P & Ishii H (2019) . 2018 IEEE Conference on Decision and Control (CDC), 17 December 2018 - 19 December 2018.
  • Grzedzinski K & Trodden P (2018) . Proceedings of the 2018 Australian & New Zealand Control Conference (ANZCC 2018), 7 December 2018 - 8 December 2018.
  • Olaru S, Mc Namara P, Negenborn R, Canizares Gaztelu JC, Farina M, Maestre JM & Trodden P (2018) . IFAC-PapersOnLine, Vol. 51(30) (pp 107-111), 13 September 2018 - 15 September 2018.
  • Mc Namara P, Negenborn R, Canizares Gaztelu JC, Farina M, Maestre JM, Olaru S & Trodden P (2018) . IFAC-PapersOnLine, Vol. 51(30) (pp 101-106), 13 September 2018 - 15 September 2018.
  • Baldivieso Monasterios P, Hernandez Vicente B & Trodden PA (2017) . Proceedings of the IFAC 2017 World Congress, 9 July 2017 - 14 July 2017.
  • Hernandez Vicente B, Baldivieso Monasterios P & Trodden P (2017) . Proceedings of the IFAC 2017 World Congress, Vol. 50(1) (pp 11829-11834), 9 July 2017 - 14 July 2017.
  • Guicherd R, Trodden PA, Mills AR & Kadirkamanathan V (2017) . Proceedings of the IFAC 2017 World Congress
  • Ejegi EE, Rossiter JA & Trodden P (2016) . Proceedings of the 2016 UKACC 11th International Conference on Control (CONTROL). Belfast, 31 August 2016 - 2 September 2016.
  • Hernandez Vicente B & Trodden P (2016) . Proceedings of the 2016 UKACC 11th International Conference on Control (CONTROL). Belfast, 31 August 2016 - 2 September 2016.
  • Baldivieso Monasterios PR & Trodden P (2016) . Proceedings of the 2016 UKACC 11th International Conference on Control (CONTROL). Belfast, 31 August 2016 - 2 September 2016.
  • Hernandez Vicente B & Trodden P (2016) . American Control Conference (ACC), 2016. Boston MA, 6 July 2016 - 8 November 2016.
  • Trodden P, Baldivieso Monasterios PR & Maestre JM (2016) . American Control Conference (ACC), 2016. Boston MA, 6 July 2016 - 8 July 2016.
  • Smyrnakis , Bauso D, Trodden PA & Veres SM (2016) . Proceedings of the 2016 European Control Conference (ECC) (pp 184-189), 29 June 2016 - 1 July 2016.
  • Ejegi EE, Rossiter JA & Trodden P (2016) . Proceedings of the 2016 European Control Conference (ECC). Aalborg, 29 June 2016 - 1 July 2016.
  • Cedeno-Campos VM, Trodden PA & Dodd TJ (2015) . IEEE International Conference on Emerging Technologies and Factory Automation ETFA, Vol. 2015-October
  • Ejegi E, Rossiter JA & Trodden PA (2015) . Proceedings of the 2015 European Control Conference (ECC) (pp 1044-1049). Linz, 15 July 2015 - 17 July 2015.
  • Ejegi E, Trodden P & Rossiter JA (2014) . Proceedings of the 2014 UKACC 10th International Conference on Control (CONTROL 2014). Loughborough, 9 July 2014 - 11 July 2014.
  • Cedeno-Campos VM, Trodden PA, Dodd TJ & Heley J (2013) . Proceedings 2013 IEEE International Conference on Systems Man and Cybernetics Smc 2013 (pp 4819-4824)
  • Trodden PA, Bukhsh WA, Grothey A & McKinnon KIM (2012) . IEEE Power and Energy Society General Meeting
  • Saponara M, Barrena V, Bemporad A, Hartley EN, Maciejowski JM, Richards AG, Tramutola A & Trodden P (2011) Model predictive control application to spacecraft rendezvous in Mars sample return scenario. European Conference for Aero-Space Sciences (EUCASS). St Petersburg, 4 July 2011 - 8 July 2011.
  • Trodden P & Richards A (2009) . Proceedings of the IEEE International Conference on Control Applications (pp 896-901)
  • Trodden P, Nicholson D & Richards A (2009) . Proceedings of the 2009 European Control Conference (ECC) (pp 2996-3001). Budapest, 23 August 2009 - 26 August 2009.
  • Trodden P & Richards A (2008) . AIAA Guidance, Navigation and Control Conference and Exhibit
  • Trodden P & Richards A (2007) . Proceedings of the 2007 European Control Conference (ECC) (pp 2172-2178). Kos, Greece, 2 July 2007 - 5 July 2007.
  • Trodden P & Richards A (2006) . Proceedings of the American Control Conference, Vol. 2006 (pp 2034-2039)
  • Saponara M, Barrena V, Bemporad A, Hartley E, Maciejowski J, Richards A, Tramutola A & Trodden P () Model predictive control application to spacecraft rendezvous in Mars sample return scenario. 4th European Conference for AeroSpace Sciences (EUCASS). St Petersburg, Russia, 4 July 2010 - 8 July 2010.

Reports

  • Bukhsh WA, Grothey A, McKinnon KIM & Trodden P (2013) Local solutions of the optimal power flow problem, ERGO preprint 13-018, School of Mathematics, University of Edinburgh
  • Trodden P, Bukhsh WA, Grothey A & McKinnon KIM (2011) MILP islanding of power networks by bus splitting, ERGO preprint 11-016, School of Mathematics, University of Edinburgh
  • Bukhsh WA, Grothey A, McKinnon KIM & Trodden P (2011) Local solutions of optimal power flow, ERGO preprint 11-017, School of Mathematics, University of Edinburgh
  • Trodden P, Bukhsh WA, Grothey A & McKinnon KIM (2011) MILP formulation for islanding of power networks, ERGO preprint 11-015, School of Mathematics, University of Edinburgh

Other

  • Trodden P (2023) .

Preprints

  • Baldivieso-Monasterios PR & Trodden PA (2020) , arXiv.
  • Trodden PA, Maestre JM & Ishii H (2019) , arXiv.
  • Baldivieso-Monasterios PR & Trodden PA (2018) , arXiv.
  • Hernandez BA & Trodden PA (2018) , arXiv.
  • Guicherd R, Trodden PA, Mills AR & Kadirkamanathan V (2017) , arXiv.
  • Hernandez B, Baldivieso P & Trodden P (2016) , arXiv.
  • Monasterios PRB, Hernandez B & Trodden PA (2016) , arXiv.
  • Hernandez B & Trodden P (2016) , arXiv.
  • Hernandez B & Trodden P (2015) , arXiv.
  • Trodden P (2015) , arXiv.
  • Trodden PA, Bukhsh WA, Grothey A & McKinnon KIM (2013) , arXiv.
Research group

Control Theory

Teaching activities
  • ACS6116 - Advanced Control
  • ACS342 - Feedback Systems Design
Professional activities and memberships
  • Associate Editor, 
  • Member, 
  • Member,  and 
  • Member, 
  • Member, 
  • Outstanding reviewer, Automatica,  and 
  • Outstanding reviewer, IEEE Transactions on Power Systems, 

Links

  Control and Systems Engineering