TY - JOUR
T1 - Stability analysis and controller synthesis for hybrid dynamical systems
AU - Heemels, W.P.M.H.
AU - Schutter, de, B.
AU - Lunze, J.
AU - Lazar, M.
PY - 2010
Y1 - 2010
N2 - Wherever continuous and discrete dynamics interact, hybrid systems arise. This is especially the case in many technological systems in which logic decision-making and embedded control actions are combined with continuous physical processes. Also for many mechanical, biological, electrical and economical systems the use of hybrid models is essential to adequately describe their behaviour. To capture the evolution of these systems, mathematical models are needed that combine in one way or another the dynamics of the continuous parts of the system with the dynamics of the logic and discrete parts. These mathematical models come in all kinds of variations, but basically consist of some form of differential or difference equations on the one hand and automata or other discrete-event models on the other hand. The collection of analysis and synthesis techniques based on these models forms the research area of hybrid systems theory, which plays an important role in the multi-disciplinary design of many technological systems that surround us. This paper presents an overview from the perspective of the control community on modelling, analysis and control design for hybrid dynamical systems and surveys the major research lines in this appealing and lively research area.
AB - Wherever continuous and discrete dynamics interact, hybrid systems arise. This is especially the case in many technological systems in which logic decision-making and embedded control actions are combined with continuous physical processes. Also for many mechanical, biological, electrical and economical systems the use of hybrid models is essential to adequately describe their behaviour. To capture the evolution of these systems, mathematical models are needed that combine in one way or another the dynamics of the continuous parts of the system with the dynamics of the logic and discrete parts. These mathematical models come in all kinds of variations, but basically consist of some form of differential or difference equations on the one hand and automata or other discrete-event models on the other hand. The collection of analysis and synthesis techniques based on these models forms the research area of hybrid systems theory, which plays an important role in the multi-disciplinary design of many technological systems that surround us. This paper presents an overview from the perspective of the control community on modelling, analysis and control design for hybrid dynamical systems and surveys the major research lines in this appealing and lively research area.
U2 - 10.1098/rsta.2010.0187
DO - 10.1098/rsta.2010.0187
M3 - Article
C2 - 20921005
SN - 1364-503X
VL - 368
SP - 4937
EP - 4960
JO - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
JF - Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences
IS - 1930
ER -