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A mathematical programming approach to the analysis and control of hybrid systems


M. Morari

Workshop on Systems and Control Challenges, London, Control Engineering Centre and Centre for Systems and Modelling, City University

Hybrid systems have emerged as a powerful modeling paradigm for a wide variety of practical systems and problems. For example, supply chains can be modeled as hybrid systems and their operation can be studied from that point of view. A chemical plant with the associated emergency shut-down control system can be viewed as a hybrid system and the proper operation of the control system can be analyzed effectively with the tools from that domain. We have introduced (Automatica 35, 407-427, 1999) the Mixed-Logic Dynamical (MLD) system form to describe hybrid systems. The major advantage of this form is that all problems of analysis and synthesis can be formulated as mixed-integer linear or quadratic programs, for which good commercial software exists. In this overview talk we motivate the approach, summarize the progress in a wide range of areas (controllability/observability assessment, optimal controller design, filter design, fault detection, modeling language & compiler) and present some application examples.


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