On State-space Realization of Bezout Factorizations in Singular Systems

نویسندگان

  • Z. W. Gao
  • D. W. C. Ho
چکیده

Based on reduced-order causal observer-based controllers for singular systems, a new state-space realization of Bezout factorization composed of all proper stable transfer functions is established. The resulting parametrization of all causal properly stabilizing controllers is characterized. The relationships among the Bezout factorization in the present paper and the previous results are also discussed, which give explicit formulae of computing one from another.

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

Admissibility analysis for discrete-time singular systems with time-varying delays by adopting the state-space Takagi-Sugeno fuzzy model

This paper is pertained with the problem of admissibility analysis of uncertain discrete-time nonlinear singular systems by adopting the state-space Takagi-Sugeno fuzzy model with time-delays and norm-bounded parameter uncertainties. Lyapunov Krasovskii functionals are constructed to obtain delay-dependent stability condition in terms of linear matrix inequalities, which is dependent on the low...

متن کامل

Bicoprime Factorizations of the Plant and Their Relation to Right- and Left-Coprime Factorizations

In a general algebraic framework, starting with a bicoprime factorization P = N,,DINpl, we obtain a right-coprime factorization N D -*, a left-coprime factorization D;’mPp, and the generalized Bezout idPen&ies associated with the pairs ( N p , 0,) and ( D p , mp). We express the set of all H-stabilizing compensators for P in the unity-feedback configuration S ( P , C) in terms of (N,,, D , N,,)...

متن کامل

On Geometric Control and Behaviors as Relating to Observer Theory

We shall use observer theory, with a particular emphasis on observers for partial states, as a platform to illuminate connections between geometric control and behaviors. Our aim is to continue in the effort of unifying the various approaches to linear system theory through the use of functional models. This allows, via realization theory, to make a direct connection between external properties...

متن کامل

Matrix factorization and minimal state space realization in the max-plus algebra

The topics of this paper are matrix factorizations and the minimal state space realization problem in the maxplus algebra, which is one of the modeling frameworks that can be used to model discrete event systems. We present a heuristic algorithm to compute a factorization of a matrix in the max-plus algebra. Next we use this algorithm to determine the minimal system order (and to construct a mi...

متن کامل

Coprime factorization and robust stabilization for discrete-time infinite-dimensional systems

We solve the problem of robust stabilization with respect to rightcoprime factor perturbations for irrational discrete-time transfer functions. The key condition is that the associated dynamical system and its dual should satisfy a finite-cost condition so that two optimal cost operators exist. We obtain explicit state space formulas for a robustly stabilizing controller in terms of these optim...

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