Functional Observers for Descriptor Systems With Unknown Inputs

Article Automation & Control Systems

Functional Detectability and Asymptotic Functional Observer Design

Mohamed Darouach et al.

Summary: The objective of this article is to propose a new approach to solve the functional observer design problem. It first provides a new definition for functional detectability, and then presents algebraic conditions for the functional detectability of linear multivariable systems, which generalize and coincide with the existing condition required in the design of observers. Necessary and sufficient conditions for the existence and stability of functional observers are given based on the solution of the Sylvester equation and matrix inequalities. The article also presents numerical examples to illustrate the results.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2023)

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Article Automation & Control Systems

On prescribed-time functional observers of linear descriptor systems with unknown input

Jiancheng Zhang et al.

Summary: This paper proposes a new design method for prescribed-time functional unknown input observer (PTFUIO) for linear descriptor systems, which can achieve exact estimation within an arbitrarily prescribed time. By constructing two identical asymptotic convergence functional observers, the necessary and sufficient conditions for the existence of such the PTFUIO are given in terms of the original system matrices. Numerical simulations are provided to demonstrate the effectiveness of the proposed method.

INTERNATIONAL JOURNAL OF CONTROL (2022)

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Article Automation & Control Systems

Existence Conditions for ODE Functional Observer Design of Descriptor Systems

Juhi Jaiswal et al.

Summary: This letter studies the design of functional observers for linear time-invariant descriptor systems which are not necessarily square and regular. A novel characterization for the existence of functional observers is presented using a set of simplified rank conditions on the system coefficient matrices. The proposed conditions are less restrictive than the existing ones. The derivation is purely algebraic and an observer-based controller is designed as an illustration.

IEEE CONTROL SYSTEMS LETTERS (2022)

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Article Automation & Control Systems

Necessary and sufficient conditions for ODE observer design of descriptor systems

Juhi Jaiswal et al.

Summary: This paper studies the existence conditions for observer design of general linear time-invariant descriptor systems and establishes a necessary and sufficient criterion involving system coefficient matrices. The asymptotic observer is realized using a dynamical system described by ordinary differential equations. The developed test condition is more accessible to implement compared to other existing works.

SYSTEMS & CONTROL LETTERS (2021)

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Article Automation & Control Systems