Computation and stability of limit cycles in hybrid systems
نویسندگان
چکیده
منابع مشابه
Computation and stability of limit cycles in hybrid systems
In this note, a practical way to compute limit cycles in context of hybrid systems is investigated. As in many hybrid applications the steady state is depicted by a limit cycle, control design and stability analysis of such hybrid systems require the knowledge of this periodic motion. Analytical expression of this cycle is generally an impossible task due to the complexity of the dynamic. A fas...
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Limit cycles are common in hybrid systems. However the nonsmooth dynamics of such systems makes stability analysis difficult. This paper uses recent extensions of trajectory sensitivity analysis to obtain the characteristic multipliers of nonsmooth limit cycles. The stability of a limit cycle is determined by its characteristic multipliers. The concepts are illustrated using a coupled tank syst...
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This paper discusses the existence of limit cycles in a class of hybrid dynamical systems (HDSs), and derives a condition on system parameters for easily checking local stability. In this paper, we focus on piecewise affine (PWA) systems as a special class of HDSs. Assuming some symmetry on PWA systems, we obtain a simplified existence condition and a stability condition of limit cycles.
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In this paper, we address stability and robustness properties of hybrid limit cycles for a class of hybrid systems with multiple jumps in one period. The main results entail equivalent characterizations of stability of hybrid limit cycles for hybrid systems. The hybrid limit cycles may have multiple jumps in one period and the jumps are allowed to occur on sets. Conditions guaranteeing robustne...
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This paper starts by presenting local stability conditions for limit cycles of piecewise linear systems (PLS), based on analyzing the linear part of Poincaré maps. Local stability guarantees the existence of an asymptotically stable neighborhood around the limit cycle. However, tools to characterize such neighborhood do not exist. This work gives conditions in the form of LMIs that guarantee as...
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ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2006
ISSN: 0362-546X
DOI: 10.1016/j.na.2005.06.054