Necessary and sufficient condition for stability robustness under known additive perturbation
نویسنده
چکیده
This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date. The accuracy of any instructions, formulae, and drug doses should be independently verified with primary sources. The publisher shall not be liable for any loss, actions, claims, proceedings, demand, or costs or damages whatsoever or howsoever caused arising directly or indirectly in connection with or arising out of the use of this material. A necessary and sufficient condition is derived for the stability robustness of a unity feedback closed-loop system involving a strictly proper plant Po and a stabilizing compensator Co under the assumption that the plant Po is perturbed to Po + AP, where AP, is a known strictly proper rational matrix.
منابع مشابه
Generalized Continuous Frames for Operators
In this note, the notion of generalized continuous K- frame in a Hilbert space is defined. Examples have been given to exhibit the existence of generalized continuous $K$-frames. A necessary and sufficient condition for the existence of a generalized continuous $K$-frame in terms of its frame operator is obtained and a characterization of a generalized continuous $K$-frame for $ mathcal{H} $ wi...
متن کاملOn Stability of Electronic Circuits
-In this paper, a necessary and sufficient condition for robust stability of electronic circuits at high frequency which contain differential pair (emitter-coupled pair) is proposed. In fact, when emitter-coupled pairs are used as one input signal – one output signal, they have uncertainty in their transfer functions at high frequency. Even as will be shown, this uncertainty can be caused insta...
متن کاملA Uni ed Approach to Stability Robustness for Uncertainty Descriptions based on Fractional Model Representations
The powerful standard representation for uncertainty descriptions in a basic perturbation model based on a standard plant representation can be used to attain necessary and su cient conditions for stability robustness within various uncertainty descriptions. In this paper these results are employed to formulate necessary and su cient conditions for stability robustness of several uncertainty se...
متن کاملNumerical Stability Verification of the Nonlinear Shallow Water System using Multidimensional Wave Digital Filtering Network
This paper studies necessary and sufficient conditions for numerical stability verification of a twodimensional time-dependent nonlinear shallow water (NLSW) system integrated by multidimensional wave digital filtering (MDWDF) network. As the verification activities are directly linked to the passivity of the system, the proposed solutions from the MDWDF network are intensively analyzed for the...
متن کاملRobust Stability of Uncertain Systems via Parameter - Dependent Lyapunov Function
The robust stability problem for uncertain, linear, state-space models is considered. When a fixed Lyapunov function is used to provide an admissible perturbation set, the obtained variation bounds can be too conservative. The main purpose of this investigation is to define the conditions, under which it is always possible to construct a parameter-dependent Lyapunov function for a class of unce...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013