Controller and observer designs for a class of TS descriptor systems with pole placement constraint

Marx, Benoît; Ragot, José

doi:10.1109/cdc.2006.377044

Cited by 2 publications

(2 citation statements)

References 17 publications

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“…The impulsive modes in the time response of a descriptor system may be highly detrimental to the system operation. However, as pointed out in , the following statements are equivalent:

rank ((), E_{o}^{T}) = n

The system

((), ([], \begin{matrix} \begin{matrix} I_{n + p + h} \end{matrix} & 0 \\ 0 & 0 \end{matrix}) ([], \begin{matrix} 0 & I_{n + p + h} \\ A_{o}^{T} & - E_{o}^{T} \end{matrix}))

is impulsive mode‐free.…”

Section: Design Of Proportional Derivative Extended State Observermentioning

confidence: 99%

Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Shi

Patton

2014

Intl J Robust & Nonlinear

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Starting with the baseline controller design, this paper proposes an integrated approach of active fault tolerant control based on proportional derivative extended state observer (PDESO) for linear parameter varying descriptor systems. The PDESO can simultaneously provide the estimates of the system states, sensor faults, and actuator faults. The L 2 robust performance of the closed-loop system to bounded exogenous disturbance and bounded uncertainty is achieved by a two-step design procedure adapted from the traditional observerbased controller design. Furthermore, an LMI pole-placement region and the L 2 robustness performance are combined into a multiobjective formulation by suitably combing the appropriate LMI descriptions. A parameter-varying system example is given to illustrate the design procedure and the validity of the proposed integrated design approach.

show abstract

“…The impulsive modes in the time response of a descriptor system may be highly detrimental to the system operation. However, as pointed out in , the following statements are equivalent:

rank ((), E_{o}^{T}) = n

The system

((), ([], \begin{matrix} \begin{matrix} I_{n + p + h} \end{matrix} & 0 \\ 0 & 0 \end{matrix}) ([], \begin{matrix} 0 & I_{n + p + h} \\ A_{o}^{T} & - E_{o}^{T} \end{matrix}))

is impulsive mode‐free.…”

Section: Design Of Proportional Derivative Extended State Observermentioning

confidence: 99%

Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Shi

Patton

2014

Intl J Robust & Nonlinear

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show abstract

“…The study of TSDS is envisaged with interval methods in Wang et al (2001). In Marx and Ragot (2006), stability, controller and observer design are envisaged under pole clustering constraint, and LMI-based solutions are given.…”

Section: Introductionmentioning

confidence: 99%

Stability and ℒ2-Norm Bound Conditions for Takagi-Sugeno Descriptor Systems

Marx

Ragot

2008

IFAC Proceedings Volumes

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Controller and observer designs for a class of TS descriptor systems with pole placement constraint

Cited by 2 publications

References 17 publications

Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Fault estimation and active fault tolerant control for linear parameter varying descriptor systems

Stability and ℒ2-Norm Bound Conditions for Takagi-Sugeno Descriptor Systems

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