8,395 research outputs found
A Sum-of-Squares Approach to the Analysis of Zeno Stability in Polynomial Hybrid Systems
Hybrid dynamical systems can exhibit many unique phenomena, such as Zeno
behavior. Zeno behavior is the occurrence of infinite discrete transitions in
finite time. Zeno behavior has been likened to a form of finite-time asymptotic
stability, and corresponding Lyapunov theorems have been developed. In this
paper, we propose a method to construct Lyapunov functions to prove Zeno
stability of compact sets in cyclic hybrid systems with parametric
uncertainties in the vector fields, domains and guard sets, and reset maps
utilizing sum-of-squares programming. This technique can easily be applied to
cyclic hybrid systems without parametric uncertainties as well. Examples
illustrating the use of the proposed technique are also provided
Process operating mode monitoring : switching online the right controller
This paper presents a structure which deals with
process operating mode monitoring and allows the control law reconfiguration
by switching online the right controller. After a short
review of the advances in switching based control systems during
the last decade, we introduce our approach based on the definition
of operating modes of a plant. The control reconfiguration
strategy is achieved by online selection of an adequate controller,
in a case of active accommodation. The main contribution lies
in settling up the design steps of the multicontroller structure
and its accurate integration in the operating mode detection and
accommodation loop. Simulation results show the effectiveness
of the operating mode detection and accommodation (OMDA)
structure for which the design steps propose a method to study the
asymptotic stability, switching performances improvement, and
the tuning of the multimodel based detector
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