SIAM Journal on Control and Optimization, Volume 58, Issue 6, Page 3684-3708, January 2020.
In this paper, a novel intermittent compensation switching strategy is designed for the stabilization of switched nonlinear systems. By making use of composite multiple Lyapunov-like functions, the designed switching strategy intermittently checks the worst direction of state and then compensates for the corresponding worst state. The associated Lyapunov-like functions are allowed to increase their values both during the active interval and at the switching instant. This removes the two conservative nonincreasing requirements which are commonly used in the classical switching law design. Practically, to implement the switching strategy, we only need to check the switching conditions and transmit the state information on a discrete time sequence, and Zeno behavior is avoided with a dwell-time in the nonlinear situation. Some sufficient conditions in their algebraic forms are proposed to make the equilibrium point of the closed-loop systems asymptotically stable. An example demonstrates the effectiveness.

中文翻译：

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非线性切换系统的控制设计：一种间歇补偿切换策略

SIAM控制与优化杂志，第58卷，第6期，第3684-3708页，2020年1月。
在本文中，设计了一种新颖的间歇补偿切换策略来稳定切换非线性系统。通过使用多个类似于Lyapunov的复合函数，设计的切换策略会间歇性地检查最坏状态的方向，然后补偿相应的最坏状态。关联的类似Lyapunov的函数可以在激活间隔和切换瞬间增加其值。这消除了经典切换律设计中通常使用的两个保守的不增加的要求。实际上，要实现切换策略，我们只需要检查切换条件并在离散时间序列上传输状态信息，就可以在非线性情况下使用驻留时间来避免Zeno行为。提出了一些代数形式的充分条件，以使闭环系统的平衡点渐近稳定。一个例子证明了有效性。