Dichotomy property and Lagrange stability for uncertain pendulum-like feedback systems
نویسندگان
چکیده
In this note, property of dichotomy and Lagrange stability of the uncertain pendulum-like systems with additional, multiplicative and H∞ uncertainty are considered, respectively. By using some results of H∞ theory the property of dichotomy and Lagrange stability of uncertain pendulum-like systems with multiple equilibria are transformed into L∞ or H∞ norm condition of some transfer functions. The convergence problem of all bounded solutions for some uncertain pendulum-like systems can be converted into the internal stability of another system under unstructured perturbations. © 2006 Elsevier B.V. All rights reserved.
منابع مشابه
Control of a Pendulum-like System with Multiple Nonlinearities ⋆
Abstract: This paper addresses a stability analysis problem and synthesis problem for pendulum-like systems with multiple nonlinearities. A method for analysing the Lagrange stability of a pendulum-like system with multiple nonlinearities is proposed. In order to study the synthesis problem, the paper develops an Extended Strict Bounded Real Lemma for unstable systems. A sufficient condition fo...
متن کاملStability analysis and feedback control of T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay
In this paper, a new T-S fuzzy hyperbolic delay model for a class of nonlinear systems with time-varying delay, is presented to address the problems of stability analysis and feedback control. Fuzzy controller is designed based on the parallel distributed compensation (PDC), and with a new Lyapunov function, delay dependent asymptotic stability conditions of the closed-loop system are derived v...
متن کاملDesign of controller for a class of pendulum-like system guaranteeing dichotomy
In this paper the problems of controller design for a class of nonlinear pendulum-like control system with multiple equilibria guaranteeing dichotomy and gradient-like property of the closed-loop systems are investigated. By applying KYP-lemma and some results of positive real control the method of controller design based on linear matrix inequality is proposed. ? 2004 Elsevier Ltd. All rights ...
متن کاملVirtual Holonomic Constraints for Euler-Lagrange Systems
This paper investigates virtual holonomic constraints for Euler-Lagrange systems with n degreesof-freedom and n− 1 controls. In our framework, a virtual holonomic constraint is a relation specifying n − 1 configuration variables in terms of a single angular configuration variable. The enforcement by feedback of such a constraint induces a desired repetitive behavior in the system. We give condi...
متن کاملAdaptive Approximation-Based Control for Uncertain Nonlinear Systems With Unknown Dead-Zone Using Minimal Learning Parameter Algorithm
This paper proposes an adaptive approximation-based controller for uncertain strict-feedback nonlinear systems with unknown dead-zone nonlinearity. Dead-zone constraint is represented as a combination of a linear system with a disturbance-like term. This work invokes neural networks (NNs) as a linear-in-parameter approximator to model uncertain nonlinear functions that appear in virtual and act...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Systems & Control Letters
دوره 56 شماره
صفحات -
تاریخ انتشار 2007