Dr Paul Trodden
School of Electrical and Electronic Engineering
Senior Lecturer
Theme Lead for Control
+44 114 222 5679
Full contact details
School of Electrical and Electronic Engineering
Amy Johnson Building
Portobello Street
Sheffield
S1 3JD
- Profile
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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.
- Research interests
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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
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Journal articles
- Persistently Exciting Data-Driven Model Predictive Control.. CoRR, abs/2504.04548.
- Equi-normalized robust positively invariant sets for linear difference inclusions. Automatica, 171. View this article in WRRO
- A modified synchronverter for a weak grid with virtual power circles‐based PQ decoupling scheme. IET Renewable Power Generation, 18(14), 2723-2736. View this article in WRRO
- Dynamic tube control for DC microgrids. IEEE Control Systems Letters, 8, 2325-2330. View this article in WRRO
- Robust two-layer control of DC microgrids with fluctuating constant power load demand. IEEE Transactions on Control of Network Systems, 11(1), 427-438. View this article in WRRO
- A bound on the existence of the maximum jointly invariant set of input-coupled systems. IEEE Control Systems Letters, 7, 2293-2298. View this article in WRRO
- Robust coalitional model predictive control with plug-and-play capabilities. Automatica, 153. View this article in WRRO
Conference proceedings
- On the Benefits of Robot Platooning for Navigating Crowded Environments (pp 259-272)
- Moving-horizon estimation for linear systems with random packet losses: suboptimal arrival cost improves robustness. 2025 IEEE 64th Conference on Decision and Control (CDC) (pp 5606-5611), 9 December 2025 - 12 December 2025.
- NISE-PE Constraint: Data-Driven Predictive Control with Persistence of Excitation. 2025 IEEE 64th Conference on Decision and Control (CDC) (pp 2274-2280), 9 December 2025 - 12 December 2025.
- Design for One, Deploy for Many: Navigating Tree Mazes with Multiple Agents. 2025 IEEE International Symposium on Multi-Robot and Multi-Agent Systems (MRS) (pp 1-7), 4 December 2025 - 5 December 2025.
- Structured observer synthesis via static output feedback. 2024 UKACC 14th International Conference on Control (CONTROL) (pp 60-65). Winchester, United Kingdom, 10 April 2024 - 10 April 2024. View this article in WRRO
- Stability of Nonlinear Model Predictive Control Under Consecutive Packet Losses. 2024 UKACC 14th International Conference on Control (CONTROL) (pp 295-300), 10 April 2024 - 12 April 2024.
- Tube-based coalitional MPC with plug-and-play features. IFAC-PapersOnLine, Vol. 56(2) (pp 7704-7709)
- LMI-based Decentralized Load Frequency Control of a Hybrid Power System with a Virtual Synchronous Generator and Battery Storage. IFAC-PapersOnLine, Vol. 56(2) (pp 10910-10916)
- Feedback Optimizing MPC for Load Frequency Control and Economic Dispatch. IFAC-PapersOnLine, Vol. 56(2) (pp 10935-10940)
- A non-iterative approach to Linear Quadratic Static Output Feedback. IFAC-PapersOnLine, Vol. 56(2) (pp 9540-9545)
- Stability and the Separation Principle in Output-Feedback Stochastic MPC with Random Packet Losses. IFAC-PapersOnLine, Vol. 56(2) (pp 3818-3823)
- A low voltage ride through (LVRT) strategy using an active superconductor fault current limiter (SFCL) for a virtual synchronous generator (VSG) connected to a weak grid. 2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE) (pp 1-5), 23 October 2023 - 26 October 2023.
- Can reference governors outperform tube-based predictive control?. 2023 European Control Conference (ECC) (pp 1-6), 13 June 2023 - 16 June 2023.
- Control of Isolated AC Microgrids with Constant Power Loads: A Set Invariance Approach. 2023 31st Mediterranean Conference on Control and Automation (MED) (pp 239-244), 26 June 2023 - 29 June 2023.
- Virtual power circle based PQ decoupling technique for a virtual synchronous generator connected to a weak grid. 2023 IEEE Belgrade PowerTech (pp 01-06), 25 June 2023 - 29 June 2023.
Preprints
- Persistently Exciting Data-Driven Model Predictive Control.. CoRR, abs/2504.04548.
- Teaching activities
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- ACS6116 - Advanced Control
- ACS342 - Feedback Systems Design
- Professional activities and memberships
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- Associate Editor, IET Smart Grid
- Member, EPSRC Peer Review Associate College
- Member, IEEE Control Systems Society and IEEE Power & Energy Society
- Member, IFAC Technical Committee 2.3 (Non-linear Control Systems)
- Member, IEEE CSS Technical Committee on Smart Grids
- Outstanding reviewer, Automatica, 2014/15 and 2016/17
- Outstanding reviewer, IEEE Transactions on Power Systems, 2016