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Modelica is an object-oriented language for modeling of large, complex and heterogeneous physical systems. It is suited for multi-domain modeling, for example for modeling of mechatronics including cars, aircrafts and industrial robots which typically consist of mechanical, electrical and hydraulic subsystems as well as control systems. General equations are used for modeling of the physical phenomena. No particular variable needs to be solved for manually. A Modelica tool will have enough information to do that automatically. The language has been designed to allow tools to generate efficient code automatically. The modeling effort is thus reduced considerably since model components can be reused and tedious and error-prone manual manipulations are not needed. The principles of objectoriented modeling and the details of the Modelica language as well as several examples are presented. 1.

A new language called Modelica for physical modeling is developed in an international effort. The main objective is to make it easy to exchange models and model libraries. The design approach builds on noncasual modeling with true ordinary differential and algebraic equations and the use of object-oriented constructs to facilitate reuse of modeling knowledge. There are already several modeling language based on these ideas available from universities and small companies. There is also significant experience of using them in various applications. The aim of the Modelica effort is to unify the concepts and design a new uniform language for model representation. The paper describes the effort and gives an overview of Modelica. 1.

A new language called Modelica TM for physical modeling is developed in an international effort. The main objective is to make it easy to exchange models and model libraries. The design approach builds on noncausal modeling with true ordinary differential and algebraic equations and the use of object-oriented constructs to facilitate reuse of modeling knowledge. There are already several modeling language based on these ideas available from universities and small companies. There is also significant experience of using them in various applications. The aim of the Modelica effort is to unify the concepts and to design a new uniform language for model representation. The paper describes the effort and gives an overview of Modelica.

A standardized language for reuse and exchange of models is needed. An international design group has designed such a language called Modelica. Modelica is a modern language built on non-causal modeling with mathematical equations and object-oriented constructs to facilitate reuse of modeling knowledge.

It is demonstrated how Modelica TM is used in an application to develop models that are useful when solving real problems. Modelica is a new unified modeling language being developed in an international effort to promote object-oriented and non-causal modeling, and exchange of model libraries. The application is a heat exchanger where the media are liquids, typically water. This type of heat exchangers can be used for district heating of houses and for production of hot tap water. The model developed illustrates very nicely the power of Modelica. The modularization concepts support flexible model components which are easy to use and to adapt when making a model of a real system with heat exchangers. The concept of class parameters support medium parameterization and arrays of model components support discretization. The expressive power of Modelica allows complete listings of the developed model components to be given. The model produces simulation results that agree very well with measured data.

The aim of this course is to introduce some fundamental concepts from the area of hybrid systems, that is dynamical systems that involve the interaction of continuous (real valued) states and discrete (finite valued) states. Applications where these types of dynamics play a prominent role will be highlighted. We will introduce general methods for investigating properties such as existence of solutions, reachability and decidability of hybrid systems. The methods will be demonstrated on the motivating applications. Students who successfully complete the course should be able to appreciate the diversity of phenomena that arise in hybrid systems and how discrete “discrete ” entities and concepts such as automata, decidability and bisimulation can coexist with continuous entities and

A new language called Modelica for physical modelling is developed in an international effort. The main objective is to make it easy to exchange models and model libraries. The design approach builds on non-casual modelling with true ordinary differential and algebraic equations and the use of object-oriented constructs to facilitate reuse of modelling knowledge. There are already several modelling language based on these ideas available from universities and small companies. There is also significant experience of using them in various applications. The aim of the Modelica effort is to unify the concepts and design a new uniform language for model representation. The paper describes the effort and gives an overview of Modelica. 1.

A conceptual scheme for reconfiguring control systems in the event of major failures is advocated. This addresses a ‘big problem’ which is understandable by the man in the street, delivers enormous benefits if it can be made to work, and requires interesting and challenging research from control and systems theorists and practitioners. The scheme relies on the convergence of several technologies which are currently emerging: Constrained predictive control, High-fidelity modelling of complex systems, Fault detection and identification, and Model approximation and simplification. Much work is needed, both theoretical and algorithmic, to get this scheme to work, but we believe that there is enough evidence, especially from existing industrial practice, for the scheme to be considered achievable. After outlining the problem and proposed solution, the paper briefly reviews constrained predictive control, object-oriented modelling, which is an essential ingredient for practical implementation, and the prospects for automatic model simplification. The paper emphasises some emerging trends in industrial practice, as regards modelling and control of complex systems. Examples from process control and flight control are used to illustrate some of the ideas.

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