L2 gain analysis for linear discrete switched delay systems ?

نویسندگان

  • Xi-Ming Sun
  • Guo-Ping Liu
  • David Rees
  • Wei Wang
چکیده

The problem of L2 gain for a class of linear discrete switched systems with disturbance input is considered in this paper. It is assumed that not all of the subsystems have normal L2 gain. Based on the average dwell time method, we search for switching signals to make the switched systems achieve the weighted L2 gain. As a special case, the criterion of normal L2 gain under arbitrary switching is also developed. Without considering delays, the proposed result degenerates to existing one.

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

Delay-dependent Stability Criterion and H∞ State-feedback Control for Uncertain Discrete-time Switched Systems with Time-varying Delays

The robust stability and H∞ state-feedback control problems for uncertain discrete-time switched systems with time-varying delays are discussed in this paper. The uncertainty is time-varying but norm-bounded. By the switched Lyapunov-Krasovskii functional approach, delay-dependent linear matrix inequality conditions for the delayvarying discrete-time uncertain switched system are developed to g...

متن کامل

Robust Stability Analysis and Synthesis for Switched Discrete-Time Systems with Time Delay

The problems of robust stability analysis and synthesis for a class of uncertain switched timedelay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient linear matrix inequalities LMIs conditions are investigated to make such systems a uniform quadratic stability with an L2-gain smaller than a given const...

متن کامل

Robust l2-l∞ Filter for Uncertain Discrete-Time Switched Time-Delay Systems

This paper is concerned with the problem of robust l2–l∞ filter design for a class of uncertain switched time-delay systems based on a switched Lyapunov functional. The parametric uncertainties are assumed to be time varying but norm bounded. The purpose is to design a switched filter such that, for all admissible uncertainties, the resulting filtering error system is robustly stable and satisf...

متن کامل

Stability and L2 Gain Analysis for a Class of Switched Symmetric Systems

In this paper, we study stability and L2 gain properties for a class of switched systems which are composed of a finite number of linear time-invariant symmetric subsystems. We focus our attention mainly on discrete-time systems. When all subsystems are Schur stable, we show that the switched system is exponentially stable under arbitrary switching. Furthermore, when all subsystems are Schur st...

متن کامل

A Study of the Generalized Input-to-State L2-Gain of Discrete-Time Switched Linear Systems

A generalized notion of the input-to-state L2-gains of discrete-time switched linear systems is proposed in this paper. Such gains are then characterized using the radii of convergence of a family of suitably defined functions called the generating functions. Properties of the generating functions are studied and their numerical computation algorithms are developed. Some numerical examples are ...

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 2008