Minimal functional observer for linear time invariant systems

نویسندگان

  • R. Aloui
  • N. Benhadj Braiek
چکیده

This paper deals with the design of the minimal functional observer for linear time invariant systems. The proposed minimal functional observer estimates the linear function characterizing a state feedback controller law. A synthesis procedure of a minimum observer which has the same dimension as the control vector is then presented and a condition of such observer existence is stated. The effectiveness and the availability of the minimal functional observer are highlighted through a numerical simulation to reconstruct the state feedback control law in order to stabilize the considered system. Keywords— Linear system, minimal functional observer, state feedback controller.

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

Determining the order of minimal realization of descriptor systems without use of the Weierstrass canonical form

A common method to determine the order of minimal realization of a continuous linear time invariant descriptor system is to decompose it into slow and fast subsystems using the Weierstrass canonical form. The Weierstrass decomposition should be avoided because it is generally an ill-conditioned problem that requires many complex calculations especially for high-dimensional systems. The present ...

متن کامل

Minimal single linear functional observers for linear systems

A constructive procedure to design a single linear functional observer for a time-invariant linear system is given. The proposed procedure is simple and is not based on the solution of a Sylvester equation or on the use of canonical state space forms. Both stable observers or fixed poles observers problems are considered for minimality.

متن کامل

Towards a minimal order distributed observer for linear systems

In this paper we consider the distributed estimation problem for continuous-time linear time-invariant (LTI) systems. A single linear plant is observed by a network of local observers. Each local observer in the network has access to only part of the output of the observed system, but can also receive information on the state estimates of its neigbours. Each local observer should in this way ge...

متن کامل

Minimal order perfect functional observers for singular linear systems

A new method for designing a minimal order perfect functional observers for singular continuous-time linear systems is proposed. Necessary and sufficient conditions for the existence of the minimal order perfect functional observer are established. A procedure for computation of matrices of the observers is derived and illustrated by a numerical example. Key-Words: Design, existence, minimal or...

متن کامل

On minimum functional observers for linear time-varying systems

The paper deals with the minimum case where the order of the observer and the number of observed variables are equal. The results are deduced from the analysis of the necessary and sufficient existence conditions for an asymptotic observer. A constructive procedure for the design of a minimum linear functional observer for a linear time-varying linear system is given. As a specific feature, the...

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 2013