Analysis of robust stabilization for uncertainty 2-D singular system of Fornasini-Marchesini II

نویسندگان

  • Ronglong Cheng
  • Weiquan Hu
چکیده

The robust stabilization is studied for two dimensions discrete time singular systems described by the second FornasiniMarchesini models (2-D SFMMII) with uncertainty parameters. A new sufficient condition of the robust stabilization of 2-D SFMM-II is presented. Based on this new criterion a desired state feedback controller can be constructed by solving a set of linear matrix inequality (LMI) for the closed-loop systems without jump modes . Keywords-2-D singulars systems , Jump mode, Robust stabilization ,Linear matrix inequality

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

An Algebraic Approach to the Observer-Based Feedback Stabilization of Linear 2D Discrete Models

In a recent work, we have investigated the state feedback structural stabilization of linear 2D discrete models. Our main tools are a procedure which enables the state feedback stabilization of Roesser models and equivalence transformations in the sense of the algebraic analysis approach to linear systems theory. Starting from a Fornasini-Marchesini model, we can compute (if it exists) a stabil...

متن کامل

A Survey on the Stability of 2-D Discrete Systems Described by Fornasini-Marchesini Second Model

A key issue of practical importance in the two-dimensional (2-D) discrete system is stability analysis. Linear state-space models describing 2-D discrete systems have been proposed by several researchers. A popular model, called Fornasini-Marchesini (FM) second model was proposed by Fornasini and Marchesini in 1978. The aim of this paper is to present a survey of the existing literature on the ...

متن کامل

Structural Stabilization of Linear 2D Discrete Systems using Equivalence Transformations

We consider stability and stabilization issues for linear two-dimensional (2D) discrete systems. We give a general definition of structural stability for all linear 2D discrete systems which coincides with the existing definitions in the particular cases of the classical Roesser and Fornasini-Marchesini discrete models. We study the preservation of the structural stability by equivalence transf...

متن کامل

Energy-to-Peak Model Reduction for 2-D Discrete Systems in Fornasini-Marchesini Form

1. Antoulas AC, Approximation of large-scale dynamical systems. SIAM Advan Des Control, 2005 2. Basiacco M. State and output feedback stabilizability of 2-D systems. IEEE Trans Circuit Syst 1985; 32(12): 1246–1254 3. Ball JA, Malakorn T. Multidimensional linear feedback control systems and interpolation problems for multivariable holomorphic functions, multidimensional systems and signal proces...

متن کامل

Robust Suboptimal Guaranteed Cost Control for 2-D Discrete Systems Described by Fornasini-Marchesini First Model

This paper considers the guaranteed cost control problem for a class of two-dimensional (2-D) uncertain discrete systems described by the Fornasini-Marchesini (FM) first model with norm-bounded uncertainties. New linear matrix inequality (LMI) based characterizations are presented for the existence of static-state feedback guaranteed cost controller which guarantees not only the asymptotic stab...

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 2012