منابع مشابه
Minimax Observers for Linear DAEs
In this note we construct finite and infinite horizon minimax observers for a linear stationary DAE with deterministic, unknown, but bounded noise. By using generalized Kalman duality and geometric control we prove that the finite (infinite) horizon observer exists if and only if the DAE is observable (detectable). Remarkably, the regularity for the DAE is not required.
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 کاملLinear Daes with Nonsmooth Forcing
State transfer functions are derived for linear time invariant differential-algebraic equations of arbitrary index subject to insufficient smoothness in the forcing functions. As a result, it is demonstrated that the problem of reinitialization after discontinuities is always fully and uniquely determined. Algorithmic implementations and extensions to the linear time varying and nonlinear cases...
متن کاملZero 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 کاملDifferential-algebraic Riccati Decoupling for Linear-quadratic Optimal Control Problems for Semi-explicit Index-2 DAEs
We investigate existence and structure of solutions to quadratic control problems with semi-explicit differential algebraic constraints. By means of an equivalent index-1 formulation we identify conditions for the unique existence of optimal solutions. Knowing of the existence of an optimal input we provide a representation of the associated feedback-law via a Riccatilike decoupling that is for...
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: PAMM
سال: 2013
ISSN: 1617-7061
DOI: 10.1002/pamm.201310224