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Functional observers design for positive systems with delays and unknown inputs

IET Control Theory & Applications, 2020
This study addresses the problem of synthesising functional observers for positive time-delay systems subjected to unknown inputs. A functional observer architecture for the problem is presented.
Adetokunbo Arogbonlo   +3 more
semanticscholar   +1 more source

Nonlinear observer design techniques with observability functions

52nd IEEE Conference on Decision and Control, 2013
Two different observer design techniques for linear and nonlinear systems based on the so-called observability function, which is related to the Gramian matrix in the linear case, are proposed. Asymptotic and finite-time convergence results are provided. The effectiveness of the proposed approaches are demonstrated via numerical simulations.
CARNEVALE, DANIELE   +3 more
openaire   +2 more sources

On functional observability and functional observer design

Automatica
This manuscript deals with the problem of observer design, to estimate all the states of a system. Let us consider the following multivariable system, \begin{align*} \dot{x}(t) & = A x(t)+B u(t),\\ y(t) & = C x(t),\\ z(t) & = L x(t), \end{align*} with the initial state \(x(0)=x_0\), \(x(t) \in \mathbb{R}^n\) is the state vector, \(u(t) \in \mathbb{R}^m\
Darouach, Mohamed, Fernando, Tyrone
openaire   +1 more source

Generalized functional observer

IEEE Transactions on Automatic Control, 1990
A functional observer and state feedback are proposed for singular systems in the polynomial fraction form that requires no impulsive mode elimination. The order of the compensator is determined by the newly defined generalized observability index that is associated with the McMillan degree of the system.
openaire   +2 more sources

Linear Functional Observers

2012
Linear functional observers take advantage of a recurring theme in state feedback control. That is, frequently in feedback control applications, only a linear combination of the state variables, i.e., Kx(t), is required, rather than a complete knowledge of the entire state vector x(t).
Hieu Trinh, Tyrone Fernando
openaire   +1 more source

Functional ODE Observers for A Class of Descriptor Systems

International Conference on Intelligent Cloud Computing, 2022
This paper addresses the problem of functional observer design for a class of linear time-invariant descriptor systems, which are not necessarily square.
Juhi Jaiswal   +2 more
semanticscholar   +1 more source

Sliding mode functional observers

2008 10th International Conference on Control, Automation, Robotics and Vision, 2008
In this paper the concept of sliding mode is introduced in the design of functional observers. Conditions for the existence of the observer are given. How to design the observer parameters are also shown. Under special circumstances the sliding mode functional observer proposed in this paper reduces to the Utkin state observer.
T. Fernando   +2 more
openaire   +1 more source

Existence and design of functional observers for Takagi-Sugeno systems with time delay

International Conference on Wireless Information Technology and Systems, 2019
The work deals with the design of functional observers for systems described by Takagi-Sugeno (T-S) fuzzy models with time delay constant time delay and varying time delay. Two design methods are proposed.
Ghali Naami   +3 more
semanticscholar   +1 more source

Disturbance decoupled functional observers

IEEE Transactions on Automatic Control, 1999
Summary: If a state observer does not exist, it is possible to design a functional observer. Principally, this is also true for systems with unknown inputs (termed as disturbances). Necessary and sufficient conditions for the existence of disturbance decoupled functional observers for linear time-invariant systems are provided.
Hou, M., Pugh, A. C., Müller, P. C.
openaire   +1 more source

Minimum-order functional observers

Computational Mathematics and Modeling, 2010
The article considers the construction of a minimum-order observer for a linear state functional of a linear dynamical system. For a one-output system we derive a necessary and sufficient condition that allows reconstruction of the functional by a k th order observer. This result is generalized to a system with vector output.
openaire   +1 more source

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