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This paper presents a novel approach to integrating quantitative and qualitative information in fault-diagnosis. This paper investigates the development of a supervisory control scheme for a non-linear system with qualitative tasks at the upper level and a lower level comprising quantitative model based non-linear control. A new quantitative approach for the stability of non-linear fuzzy inference...
A multirate controller for the coupled mass benchmark problem is presented. A robust controller with full state feedback is designed using LMI techniques, and the transfer properties of state feedback control are approximately recovered by using a very simple fast output sampling control law. The proposed controller is compared to a state feedback / loop transfer recovery solution reported in the...
The design of a minimal order observer which can estimate the state feedback control signal Kx(t) with arbitrarily given observer poles and K∊Rpxn, has been tried for years, with the prevailing conclusion that it is an unsolved problem. This paper asserts the following four clear-cut claims. 1) this design problem has been simplified to a set of linear equations K = Kzdiag{c1, …, cr}D (ci∊R1xm, m...
On the basis of the Carleman linearization this contribution presents a new approach to the design of observers with linear error dynamics for nonlinear systems. The presented observer design is extended to a dynamic output feedback controller achieving asymptotically exact input-output linearization. A simple example demonstrates the proposed observer and controller design procedure.
The fact that the feedback interconnection of strictly positive real (spr) systems leads to an asymptotically stable closed loop can be used for the synthesis of robust observer-based state-space controllers. Since most control plants originally are not spr structural modifications must be done to establish this property even under parameter variations. Going that way one gets a modified spr plant...
A delay-dependent functional observer is designed for linear time-invariant (LTI) systems with time-varying input delay. Compared to delay-free observers, delay-dependent functional observers are less conservative and cover more systems. The designed functional observer is with minimum possible order (minimal). Necessary and sufficient conditions of the existence of the observer and asymptomatic stability...
The algorithm of the interval observer design for a class of nonlinear systems with parametric uncertainty is considered. It is shown that the observer allows to derive an interval that contains the actual value of the state at a given time. The main condition of such a device construction deals with a cooperativity of the interval estimation error dynamics. The question of the selecting the individual...
In this work, a linear matrix inequality (LMI) methodology is used to design a controller to stabilize the second order parabolic PDE in the presence of input constraints. The novel feature of the proposed synthesis is to construct the LMI formulation within the modal space by using the spectrum analysis, which transfers the original infinite dimensional PDE state into the modal state, described by...
A parametric design problem of the unknown input observers in the linear time-invariant systems is investigated. The aim is to design the parametric expression of the state observers that can estimate the state of the linear time-invariant systems with the unknown input disturbances. Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of all the gain matrices...
The problem of interval state observer design is addressed for time-invariant discrete-time systems. Two solutions are proposed: the first one is based on a similarity transformation synthesis, which connects a constant matrix with its nonnegative representation ensuring the observation error positivity. The second contribution shows that in the discrete-time case the estimation error dynamics always...
This article is devoted to the design of fault isolation observers (FIOs). Their purpose is to detect and isolate faults occuring in linear systems by means of only a single, specifically parameterized observer. While parameterizations for such observers have been proposed for minimum phase systems, we generalize the existing results to linear systems without such restrictions. To achieve stable fault...
This paper considers the problem of observer design in high-order descriptor linear systems. Parametric expressions for the left eigenvectors associated with the finite eigenvalues of the observer and simple and complete parametric solutions for the observer gain matrices are obtained on the basis of the parametric solution of the generalized high-order Sylvester matrix equation. This approach does...
The goal of this technical note is to design interval observers for a class of nonlinear continuous-time systems. The first part of this work shows that it is usually possible to design an interval observer for linear systems by means of linear time-invariant changes of coordinates even if the system is not cooperative. This result is extended to a class of nonlinear systems using partial exact linearisations...
Observer design for descriptor systems, or systems of differential algebraic equations (DAEs) as they are also known, is well studied in the linear time invariant (LTI) case. However, those studies do not readily extend to general linear time varying (LTV) or nonlinear descriptor systems. This paper presents an alternative approach for observer design that not only works for the LTI case but also...
In this paper, we study localization based formation control of mobile agent groups by using relative and partial measurements. Though formation control and localization are linked to each other, they have separately been addressed in the literature. As a novel approach, we propose a formation control strategy based on localization information for single- and double-integrator modeled agent groups...
This paper reviews different observer design methods for linear dynamic distributed-parameter systems. In such systems, the states, inputs, and outputs depend on some spatial variable. This dependence, along with additional aspects such as the boundary conditions, increase the complexity of the state estimation problem and of the design methods. The paper in particular surveys observers for first-order...
System uncertainties, such as modelling errors, external disturbances etc. can impede the fault detection process. Therefore a need arises for robust fault diagnosis, where complete disturbance decoupling can be achieved. The main contribution of this paper is the design of a parity relation for robust fault detection using right eigenstructure assignment. Up to date the left eigenstructure assignment...
This paper presents a method to control the speed of a separately excited D.C. motor using a D.C. to D.C. converter. The energy source of the system is a Fuel Cell (FC), for which a mathematical model describing its electrical characteristics is also presented. By controlling the duty cycle of the converter, the input power of the motor is also controlled; thus controlling the speed of the motor....
In this paper, we design an observer-based stabilizing controller for a web transport system to asymptotically stabilize the full state. Our results are achieved by analyzing system dynamics in the following manner: we first review the Timoshenko model to describe the web between two rollers and the extension to a multi-roll system. Then, we show that the system is both stabilizable and detectable...
Quality of sensor measurements and their availability is highly important in control of power systems. In this paper, we address fault tolerant control of Large Power Systems (LPS) subject to sensor failure. We assume that observability of subsystem encountering with fault is violated, states cannot be estimated by reliance of faulty subsystem. We use a new method for reconfiguration control of the...
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