Model predictive control, cost controllability, and homogeneity. - In: SIAM journal on control and optimization, ISSN 1095-7138, Bd. 58 (2020), 5, S. 2979-2996
We are concerned with the design of Model Predictive Control (MPC) schemes such that asymptotic stability of the resulting closed loop is guaranteed - even if the linearization at the desired set point fails to be stabilizable. Therefore, we propose constructing the stage cost based on the homogeneous approximation and rigorously show that applying MPC yields an asymptotically stable closed-loop behavior if the homogeneous approximation is asymptotically null controllable. To this end, we verify cost controllability - a condition relating the current state, the stage cost, and the growth of the value function with respect to time - for this class of systems in order to provide stability and performance guarantees for the proposed MPC scheme without stabilizing terminal costs or constraints.
https://doi.org/10.1137/19M1265995
Mathematical innovations fostering the energy transition - control and optimization. - In: Automatisierungstechnik, ISSN 2196-677X, Bd. 68 (2020), 12, S. 982-984
https://doi.org/10.1515/auto-2020-0152
Modellierung und Parameteridentifikation für die Echtzeittemperaturregelung bei retinalen Lasertherapien :
Modeling and parameter identification for real-time temperature controlled retinal laser therapies. - In: Automatisierungstechnik, ISSN 2196-677X, Bd. 68 (2020), 11, S. 953-966
Laser photocoagulation is a widely used treatment for a variety of retinal diseases. Temperature-controlled irradiation is a promising approach to enable uniform heating, reduce the risks of over- or undertreatment, and unburden the ophthalmologists from a time consuming manual power titration. In this paper, an approach is proposed for the development of models with different levels of detail, which serve as a basis for improved, more accurate observer and control designs. To this end, we employ a heat diffusion model and propose a suitable discretization and subsequent model reduction procedures. Since the absorption of the laser light can vary strongly at each irradiation site, a method for identifying the absorption coefficient is presented. To identify a parameter in a reduced order model, an optimal interpolatory projection method for parametric systems is used. In order to provide an online identification of the absorption coefficient, we prove and exploit monotonicity of the parameter influence.
https://doi.org/10.1515/auto-2020-0074
Model predictive control without terminal constraints or costs for holonomic mobile robots. - In: Robotics and autonomous systems, ISSN 1872-793X, Bd. 127 (2020), 103468
https://doi.org/10.1016/j.robot.2020.103468
Towards multiobjective optimization and control of smart grids. - In: Optimal control, applications and methods, ISSN 1099-1514, Bd. 41 (2020), 1, S. 128-145
https://doi.org/10.1002/oca.2532
Towards price-based predictive control of a small-scale electricity network. - In: International journal of control, ISSN 1366-5820, Bd. 93 (2020), 1, S. 40-61
https://doi.org/10.1080/00207179.2017.1339329
Towards velocity turnpikes in optimal control of mechanical systems. - In: IFAC-PapersOnLine, ISSN 2405-8963, Bd. 52 (2019), 16, S. 490-495
https://doi.org/10.1016/j.ifacol.2019.12.009
Surrogate models for coupled microgrids. - In: Progress in industrial mathematics at ECMI 2018, (2019), S. 477-483
https://doi.org/10.1007/978-3-030-27550-1_60
Distributed optimization based control on the example of microgrids. - In: Computational intelligence and optimization methods for control engineering, (2019), S. 173-200
https://doi.org/10.1007/978-3-030-25446-9_8
Ersatzmodelle in bidirektionaler Optimierung gekoppelter Microgrids :
Surrogate models in bidirectional optimization of coupled microgrids. - In: Automatisierungstechnik, ISSN 2196-677X, Bd. 67 (2019), 12, S. 1035-1046
https://doi.org/10.1515/auto-2019-0075