Design of robust finite time functional observers in uncertain linear systems

Wang, Guo sheng; Xia, Fan; Yang, W. L.

doi:10.1504/ijamechs.2013.057662

Cited by 8 publications

(4 citation statements)

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“…Theorem 1 [18] . The unknown input observer (7) for the system (1) exists if and only if the following conditions are satisfied: 11 12 rank rank…”

Section: Problem Formulationmentioning

confidence: 99%

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Design of parametric unknown input observers in linear time-invariant systems

Wang¹,

Li²,

Guo³

et al. 2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

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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 timeinvariant systems with the unknown input disturbances. Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of all the gain matrices in the unknown input observers are put forward and the free parameters included in the parametric observers can offer all the degrees of design freedom in designing control system. Finally, a simulation example shows the proposed parametric design method of the unknown input observers in the linear time-invariant system is feasible.

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“…Theorem 1 [18] . The unknown input observer (7) for the system (1) exists if and only if the following conditions are satisfied: 11 12 rank rank…”

Section: Problem Formulationmentioning

confidence: 99%

“…Based on the parametric solutions for a class of Sylvester matrix equation [18][19][20][21][22] , the parametric expressions of the unknown input observers is proposed, and the free parameters in the gain matrices can offer all the design degrees of freedom for control system design.…”

Section: Introductionmentioning

confidence: 99%

Design of parametric unknown input observers in linear time-invariant systems

Wang¹,

Li²,

Guo³

et al. 2014

Proceeding of the 11th World Congress on Intelligent Control and Automation

Self Cite

View full text Add to dashboard Cite

show abstract

“…Consider the HSOM equation (1) where J takes following Jordan matrix form 1 2 diag ( , , ) , , which are found in the first-order [1][2][3][4][5][6][7][8] or second-order [9][10] linear system parametric observer design problems. In [11][12], the higher-order observer was designed and equation (1) T T T T T T T T T T 1…”

Section: Introductionmentioning

confidence: 99%

Solutions to HSOM Equation with Jordan Canonical Form

Bi¹,

Yu²

2019

Proceedings of the 2019 International Conference on Modeling, Simulation and Big Data Analysis (MSBDA 2019)

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Three solutions to the high-order Sylvester observer matrix (HSOM) equation with Jordan canonical form are established. The obtained solutions contain numerical matrix calculations, which provide convenience for calculating these solutions in certain applications. The reliability of those solutions is shown by a numerical example and the improvements for the first two analytical solutions are proposed. p p q J J J J C p nN

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“…In [12] and [13], we investigate the parametric design of finite time functional observers in linear time-invariant systems and robust finite time functional observers in uncertain linear systems, respectively. In this paper, we investigate a parametric design method of the finite time state observers in the linear time-invariant systems.…”

Section: Introductionmentioning

confidence: 99%

A parametric design method of finite time state observers in linear time-invariant systems

Wang

Xia

et al. 2014

The 26th Chinese Control and Decision Conference (2014 CCDC)

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A parametric design problem of the finite time state observers for the linear time-invariant systems is investigated. The design aim of the finite time state observers in linear time-invariant systems is to present the parametric form of the state observers which can estimate the system state in a predefined finite time and the estimation stays bounded during the convergence time interval. Based on the parametric solutions for a class of Sylvester matrix equations, the parametric expressions of all the gain matrices for the finite time state observers in linear systems are proposed. Finally, a numerical example and its simulation results show that the proposed parametric design method of the finite time state observers in the linear time-invariant systems is effective and simple.

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Design of robust finite time functional observers in uncertain linear systems

Cited by 8 publications

References 0 publications

Design of parametric unknown input observers in linear time-invariant systems

Design of parametric unknown input observers in linear time-invariant systems

Solutions to HSOM Equation with Jordan Canonical Form

A parametric design method of finite time state observers in linear time-invariant systems

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