Optimal Output Regulation for Square, Over-Actuated and Under-Actuated Linear Systems

This paper considers two different problems in trajectory tracking control for linear systems. First, if the control is not unique which is most input energy efficient. Second, if exact tracking is infeasible which control performs most accurately. These are typical challenges for over-actuated systems and for under-actuated systems, respectively. We formulate both goals as optimal output regulation problems. Then we contribute two new sets of regulator equations to output regulation theory that provide the desired solutions. A thorough study indicates solvability and uniqueness under weak assumptions. E.g., we can always determine the solution of the classical regulator equations that is most input energy efficient. This is of great value if there are infinitely many solutions. We derive our results by a linear quadratic tracking approach and establish a useful link to output regulation theory.Comment: 8 pages, 0 figures, final version to appear in IEEE Transactions on Automatic Contro

Generating Compact Geometric Track-Maps for Train Positioning Applications

In this paper, we present a method to generate compact geometric track-maps for train-borne localization applications. Therefore, we first give a brief overview on the purpose of track maps in train-positioning applications. It becomes apparent that there are hardly any adequate methods to generate suitable geometric track-maps. This is why we present a novel map generation procedure. It uses an optimization formulation to find the continuous sequence of track geometries that fits the available measurement data best. The optimization is initialized with the results from a localization filter developed in our previous work. The localization filter also provides the required information for shape identification and measurement association. The presented approach will be evaluated on simulated data as well as on real measurements

\u27Parental Track\u27 is Solution for Today\u27s Corporations, Says Men\u27s Activist; The New Entrepreneur: Student Operates Own Business, Attends Class Full Time

Feature leads for the media: Men\u27s studies specialist Eugene August suggests that corporations adopt policies to support a growing commitment to family life among couples with young children. University of Dayton student Marty Grunder is running a landscaping business while earning his degree in finance

Application of Pareto Optimization in an Economic Model Predictive Controlled Microgrid

This paper presents an economic model predictive control approach for a linear microgrid model. The microgrid in grid-connected mode represents a medium-sized company building including storage systems, renewable energies and couplings between the electrical and heat energy system. Economic model predictive control together with Pareto optimization is applied to find suitable compromises between two competing objectives, i. e. monetary costs and thermal comfort. Using real-world data from 2018 and 2019, the model is simulated with auto-detection of the Pareto solution which is closest to the Utopia point. The results show that the Pareto optimization can either be used in real-time control of the microgrid, or to obtain suitable weights from long term simulations. Both approaches result in significant cost reductions

Incorporating Human Preferences in Decision Making for Dynamic Multi-Objective Optimization in Model Predictive Control

We present a new two-step approach for automatized a posteriori decision making in multi-objective optimization problems, i.e., selecting a solution from the Pareto front. In the first step, a knee region is determined based on the normalized Euclidean distance from a hyperplane defined by the furthest Pareto solution and the negative unit vector. The size of the knee region depends on the Pareto front’s shape and a design parameter. In the second step, preferences for all objectives formulated by the decision maker, e.g., 50–20–30 for a 3D problem, are translated into a hyperplane which is then used to choose a final solution from the knee region. This way, the decision maker’s preference can be incorporated, while its influence depends on the Pareto front’s shape and a design parameter, at the same time favorizing knee points if they exist. The proposed approach is applied in simulation for the multi-objective model predictive control (MPC) of the two-dimensional rocket car example and the energy management system of a building

Stabilitätsnachweis für weiche strukturvariable Regelungen mit Zustandsbeobachter

Weiche strukturvariable Regler sind nichtlineare Zustandsregler für lineare Regelstrecken mit Stellgrößenbeschränkung. Ihr lineares Regelgesetz wird über einen zustandsabhängigen Parameter kontinuierlich verändert. Dabei erfolgt die Regleränderung so, dass die vorhandene Stellgrößenbeschränkung möglichst gut ausgenutzt wird, wodurch sich ein nahezu zeitoptimales Verhalten einstellt. Unter praktischen Gesichtspunkten erfordert eine Zustandsregelung – so auch diese – den Einsatz eines Beobachters, da oft nicht alle Zustände messbar sind. In diesem Artikel werden Beobachter für weiche strukturvariable Regler und der Nachweis der Stabilität des Regelkreises mit Beobachter behandelt

Entkopplungsregelungen für lineare überaktuierte Systeme

Gegenstand des Beitrags ist der Entwurf von statischen Zustandsreglern zur Führungsentkopplung in linearen überaktuierten Systemen. Zum einen wird eine Erweiterung der Entwurfsmethodik nach Falb und Wolovich erläutert, welche eine einfache Nutzung der zusätzlichen Freiheitsgrade gegenüber klassischen Entkopplungsreglern ermöglicht. Zum anderen erlaubt ein parametrischer Entwurf die Interpretation der entstehenden Freiheitsgrade. Als Anwendungsbeispiele werden die Reduzierung der Stellenergie sowie die Steigerung der Robustheit von Entkopplungsregelungen vorgestellt