Zero dynamics and funnel control of linear differential-algebraic systems
نویسندگان
چکیده
منابع مشابه
Zero dynamics and funnel control of linear differential-algebraic systems
We study the class of linear differential-algebraic m-input m-output systems which have a transfer function with proper inverse. A sufficient condition for the transfer function to have proper inverse it that the system has ‘strict and non-positive relative degree’. We present two main results: First, a so called ‘zero dynamics form’ is derived: this form is – within the class of system equival...
متن کاملZero dynamics and funnel control of general linear differential - algebraic systems ∗
We study linear differential-algebraic multi-input multi-output systems which are not necessarily regular and investigate the zero dynamics and tracking control. We use the concepts of autonomous zero dynamics and (E,A,B)-invariant subspaces to derive the so called zero dynamics form which decouples the zero dynamics of the system and exploit it for the characterization of system invertibility....
متن کاملZero Dynamics and Funnel Control for Linear Electrical Circuits
We consider electrical circuits containing linear resistances, capacitances, inductances. The circuits can be described by differential-algebraic input-output systems, where the input consists of voltages of voltage sources and currents of current sources and the output consists of currents of voltage sources and voltages of current sources. We generalize a characterization of asymptotic stabil...
متن کاملZero dynamics of time-varying linear systems
The Byrnes-Isidori form with respect to the relative degree is studied for time-varying linear multi-input, multi-output systems. It is clarified in which sense this form is a normal form. (A,B)-invariant time-varying subspaces are defined and the maximal (A,B)-invariant time-varying subspace included in the kernel of C is characterized. This is exploited to characterize the zero dynamics of th...
متن کاملAlgebraic Solving of Complex Interval Linear Systems by Limiting Factors
In this work, we propose a simple method for obtaining the algebraic solution of a complex interval linear system where coefficient matrix is a complex matrix and the right-hand-side vector is a complex interval vector. We first use a complex interval version of the Doolittle decomposition method and then we restrict the Doolittle's solution, by complex limiting factors, to achieve a complex in...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics of Control, Signals, and Systems
سال: 2012
ISSN: 0932-4194,1435-568X
DOI: 10.1007/s00498-012-0085-z