Approximation and stabilization of distributed systems by lumped systems
نویسندگان
چکیده
In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.
منابع مشابه
A Recursive Approximation Approach of non-iid Lognormal Random Variables Summation in Cellular Systems
Co-channel interference is a major factor in limiting the capacity and link quality in cellular communications. As the co-channel interference is modeled by lognormal distribution, sum of the co-channel interferences of neighboring cells is represented by the sum of lognormal Random Variables (RVs) which has no closed-form expression. Assuming independent, identically distributed (iid) RVs, the...
متن کاملApproximation and stabilization of distributed sfsiems by lumped systems
Abstrocr: In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a wmpkte answer to the question in terms of required for a signal to propagate down the string; but if t < T, the system is not controlla...
متن کاملDesign of A No-chatter Fractional Sliding Mode Control Approach for Stabilization of Non-Integer Chaotic Systems
A nonlinear chattering-free sliding mode control method is designed to stabilize fractional chaotic systems with model uncertainties and external disturbances. The main feature of this controller is rapid convergence to equilibrium point, minimize chattering and resistance against uncertainties. The frequency distributed model is used to prove the stability of the controlled system based on dir...
متن کاملAdaptive Distributed Consensus Control for a Class of Heterogeneous and Uncertain Nonlinear Multi-Agent Systems
This paper has been devoted to the design of a distributed consensus control for a class of uncertain nonlinear multi-agent systems in the strict-feedback form. The communication between the agents has been described by a directed graph. Radial-basis function neural networks have been used for the approximation of the uncertain and heterogeneous dynamics of the followers as well as the effect o...
متن کاملDelay-dependent robust stabilization and $H_{infty}$ control for uncertain stochastic T-S fuzzy systems with multiple time delays
In this paper, the problems of robust stabilization and$H_{infty}$ control for uncertain stochastic systems withmultiple time delays represented by the Takagi-Sugeno (T-S) fuzzymodel have been studied. By constructing a new Lyapunov-Krasovskiifunctional (LKF) and using the bounding techniques, sufficientconditions for the delay-dependent robust stabilization and $H_{infty}$ control scheme are p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002