Necessary and sufficient conditions for quadratic controllability of a class of uncertain systems
نویسنده
چکیده
We introduce a controllability notion for uncertain systems, namely, quadratic controllability. For a specific class of norm bounded uncertain systems, we show that this notion is equivalent to controllability of a nominal system and the satisfaction of a certain structural condition by the uncertainty. For systems in which the uncertain parameters affect all control inputs, this structural condition is simply the familiar matching condition commonly encountered in the literature on robust and adaptive control of uncertain systems.
منابع مشابه
On the quadratic controllability and quadratic feedback minimality
Very recently, the quadratic controllability and quadratic feedback minimality of unstructured norm bounded uncertain linear systems have been studied in a previous paper with explicitly verifiable necessary and sufficient solvability conditions in terms of the so-called “essential subsystem.” In this note, we give the geometric interpretation of the main results in that previous paper, using t...
متن کاملRobust Model Predictive Control for a Class of Discrete Nonlinear systems
This paper presents a robust model predictive control scheme for a class of discrete-time nonlinear systems subject to state and input constraints. Each subsystem is composed of a nominal LTI part and an additive uncertain non-linear time-varying function which satisfies a quadratic constraint. Using the dual-mode MPC stability theory, a sufficient condition is constructed for synthesizing the ...
متن کاملON CONTROLLABILITY AND OBSERVABILITY OF FUZZY CONTROL SYSTEMS
In order to more effectively cope with the real world problems of vagueness, imprecise and subjectivity, fuzzy event systems were proposed recently. In this paper, we investigate the controllability and the observability property of two systems that one of them has fuzzy variables and the other one has fuzzy coefficients and fuzzy variables (fully fuzzy system). Also, sufficient conditions for ...
متن کاملStability analysis with quadratic Lyapunov functions: Some necessary and sufficient multiplier conditions
In this paper, we present several conditions which are both necessary and sufficient for quadratic stability of an uncertain/nonlinear system. These conditions involve multiplier matrices which characterize the uncertain/nonlinear terms in the system description. It is known that some of these conditions are sufficient for quadratic stability. One of the main contributions of this paper is to d...
متن کاملStructural Properties of Multirate Sampled-Data Systems
The application of Networked Control Systems (NCS) in which sensory and control signals are transmitted via shared data communication networks, is growing significantly and these systems have been the subject of research during the last decade. On the other hand, multirate sampled data systems have been investigated since a long time. In this paper, conditions under which a networked control sy...
متن کامل