Research output: Contribution to journal › Article › peer-review
Optimal control of discrete-time hybrid automata under safety and liveness constraints. / Seatzu, Carla; Gromov, Dmitry; Raisch, Joerg; Corona, Daniele; Giua, Alessandro.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 65, No. 6, 2006, p. 1188-1210.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Optimal control of discrete-time hybrid automata under safety and liveness constraints
AU - Seatzu, Carla
AU - Gromov, Dmitry
AU - Raisch, Joerg
AU - Corona, Daniele
AU - Giua, Alessandro
PY - 2006
Y1 - 2006
N2 - In this contribution we address an optimal control problem for a class of discrete-time hybrid automata under safety and liveness constraints. The solution is based on a hierarchical decomposition of the problem, where the low-level controller enforces safety and liveness constraints while the high-level controller exploits the remaining degrees of freedom for performance optimization. Lower-level control is based on a discrete abstraction of the continuous dynamics. The action of low-level control can be interpreted as restricting invariants in the hybrid automaton representing the plant model. A state feedback solution for the high-level control is provided, based on the off-line construction of an appropriate partition of the state space. (c) 2005 Elsevier Ltd. All rights reserved.
AB - In this contribution we address an optimal control problem for a class of discrete-time hybrid automata under safety and liveness constraints. The solution is based on a hierarchical decomposition of the problem, where the low-level controller enforces safety and liveness constraints while the high-level controller exploits the remaining degrees of freedom for performance optimization. Lower-level control is based on a discrete abstraction of the continuous dynamics. The action of low-level control can be interpreted as restricting invariants in the hybrid automaton representing the plant model. A state feedback solution for the high-level control is provided, based on the off-line construction of an appropriate partition of the state space. (c) 2005 Elsevier Ltd. All rights reserved.
KW - hybrid automata
KW - switched systems
KW - safety constraints
KW - liveness constraints
KW - SUPERVISORY CONTROL
KW - CONTINUOUS SYSTEMS
U2 - 10.1016/j.na.2005.12.024
DO - 10.1016/j.na.2005.12.024
M3 - статья
VL - 65
SP - 1188
EP - 1210
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
IS - 6
Y2 - 3 July 2005 through 8 July 2005
ER -
ID: 5552074