Robust state-dependent switching of linear systems with dwell time

LI Allerhand, U Shaked - IEEE Transactions on Automatic …, 2012 - ieeexplore.ieee.org
A state-dependent switching law that obeys a dwell time constraint and guarantees the
stability of a switched linear system is designed. Sufficient conditions are obtained for the …

Existence and stability of limit cycles in the model of a planar passive biped walking down a slope

O Makarenkov - Proceedings of the Royal Society A, 2020 - royalsocietypublishing.org
We consider the simplest model of a passive biped walking down a slope given by the
equations of switched coupled pendula (McGeer T. 1990 Passive dynamic walking. Int. J …

Generating oscillations in inertia wheel pendulum via two‐relay controller

LT Aguilar, IM Boiko, LM Fridman… - International Journal of …, 2012 - Wiley Online Library
The problem of generating oscillations of the inertia wheel pendulum is considered. We
combine exact feedback linearization with two‐relay controller, tuned using frequency …

[PDF][PDF] 线性切换系统的积分不变性原理

林相泽, 邹云 - 自动化学报, 2011 - aas.net.cn
摘要将积分不变性原理进行推广, 用来讨论线性切换系统的稳定性. 作为LaSalle
不变性原理的推广, 文中推广的积分不变性原理无需构造Lyapunov 函数 …

Bifurcation of limit cycles from a switched equilibrium in planar switched systems

O Makarenkov - Journal of the Franklin Institute, 2019 - Elsevier
We consider a switched system of two subsystems that are activated as the trajectory enters
the regions {(x, y): x> x¯} and {(x, y): x<− x¯}, respectively, where x¯ is a positive parameter …

An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty

C King, R Shorten - Systems & Control Letters, 2013 - Elsevier
We consider the problem of designing state-dependent linear switching systems subject to
parameter uncertainty. The switching rule is governed by a fixed partition of the state-space …

Robust State-Dependent Switching of Linear Systems with Dwell Time

E Gershon, U Shaked, E Gershon, U Shaked - Advances in H∞ Control …, 2019 - Springer
A state-dependent switching law that obeys a dwell-time constraint and guarantees the
stability of a switched linear system is designed. Sufficient conditions are obtained for the …