Lmi Based Stability and Stabilization of Second-order Linear Repetitive Processes

نویسندگان

  • Pawel Dabkowski
  • Krzysztof Gal
چکیده

This paper develops new results on the stability and control of a class of linear repetitive processes described by a second-order matrix discrete or differential equation. These are developed by transformation of the secondorder dynamics to those of an equivalent first-order descriptor state-space model, thus avoiding the need to invert a possibly ill-conditioned leading coefficient matrix in the original model.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Stabilization of differential linear repetitive processes saturated systems by state feedback control

The stabilization of linear differential linear repetitive processes subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback control law and...

متن کامل

A new approach to strong practical stability and stabilization of discrete linear repetitive processes

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes originally consisted of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stabi...

متن کامل

Strong practical stability and stabilization of uncertain discrete linear repetitive processes

Repetitive processes are a distinct class of 2D systems of both theoretical and practical interest. The stability theory for these processes currently consists of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stabili...

متن کامل

Delay-dependent stability for transparent bilateral teleoperation system: an LMI approach

There are two significant goals in teleoperation systems: Stability and performance. This paper introduces an LMI-based robust control method for bilateral transparent teleoperation systems in presence of model mismatch. The uncertainties in time delay in communication channel, task environment and model parameters of master-slave systems is called model mismatch. The time delay in communicatio...

متن کامل

Robust Stabilization for Constrained Discrete-time Systems with Time-varying Delays: an Lmi Approach

The stabilization of uncertain discrete-time linear systems with both saturating actuators and time-varying delays is addressed in this paper. Based on a novel Lyapunov function combined with LMI (Linear Matrix Inequality) techniques, sufficient conditions are developed to guarantee robust stabilization. A state feedback control law and the associated stability region are simultaneously determi...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2009