Exponential Stability and Local ISS for DC Networks
نویسندگان
چکیده
In this letter, we consider the problem of regulating voltage an islanded Direct Current (DC) network subject to (i) unknown ZIP-loads, i.e., nonlinear loads with parallel combination constant impedance (Z), current (I) and power (P) components, (ii) time-varying disturbances. Using port-Hamiltonian framework, two decentralized passivity-based control schemes are designed. It is shown that, using proposed controllers, desired equilibrium exponentially stable local input-to-state (LISS) respect
منابع مشابه
Asymptotic Stability Equals Exponential Stability, and Iss Equals Nite Energy Gain|if You Twist Your Eyes
In this paper we show that uniformly global asymptotic stability for a family of ordinary diierential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables. The same is shown for input-to-state stability and input-to-state exponential stability, and for input-to-state exponential stability and a nonlinear H 1 estimate.
متن کاملAsymptotic stability equals exponential stability, and ISS equals finite energy gain—if you twist your eyes
In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables. The same is shown for input-to-state stability and input-to-state exponential stability, and for input-to-state exponential stability and a nonlinear H∞ estimate.
متن کاملOn the Equivalence between Asymptotic and Exponential Stability, and between Iss and Nite H 1 Gain
We show that uniformly global asymptotic stability and input-to-state stability for a family of ordinary diierential equations are equivalent to uniformly global exponential stability and a nonlinear H1 estimate, respectively , under suitable nonlinear changes of variables.
متن کاملGlobal Asymptotic and Exponential Stability of Tri-Cell Networks with Different Time Delays
In this paper, a bidirectional ring network with three cells and different time delays is presented. To propose this model which is a good extension of three-unit neural networks, coupled cell network theory and neural network theory are applied. In this model, every cell has self-connections without delay but different time delays are assumed in other connections. A suitable Lyapun...
متن کاملLocal ISS of large-scale interconnections and estimates for stability regions
We consider interconnections of locally input-to-state stable (LISS) systems. The class of LISS systems is quite large, in particular it contains input-to-state stable (ISS) and integral input-to-state stable (iISS) systems. Local small-gain conditions both for LISS trajectory and Lyapunov formulations guaranteeing LISS of the composite system are provided in this paper. Notably, estimates for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: IEEE Control Systems Letters
سال: 2021
ISSN: ['2475-1456']
DOI: https://doi.org/10.1109/lcsys.2020.3007222