Almost fault‐tolerant tracking

Stefanovski, Jovan

doi:10.1002/rnc.4876

Cited by 2 publications

(11 citation statements)

References 19 publications

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“…It consists of a feedforward controller, constituted of the blocks

Z

and

Y

, and a feedback controller, constituted of the block

K_{0}

and the fault estimator block. The feedforward controller coincides with one in Reference 1. The fault estimator is elaborated in Section 2.2, and we shall show that the block

K_{0}

includes a nominal controller, elaborated in Section 2.1, and a fault compensator.…”

Section: Resultsmentioning

confidence: 93%

“…Proof We have

T_{z r} = G_{12} T_{u r}

, where

T_{u r}

is the transfer matrix from r to u . By Proposition 1 in Reference 1, it must be proper and stable. By generalization of Lemma 2 in Reference 1 to descriptor systems and with

M = I

, we obtain that Assumption 5(a) must hold.…”

Section: Resultsmentioning

confidence: 97%

“…By Proposition 1 in Reference 1, it must be proper and stable. By generalization of Lemma 2 in Reference 1 to descriptor systems and with

M = I

, we obtain that Assumption 5(a) must hold. Assumption 5(b) is also necessary for Problem 1, otherwise all solutions of equation

G_{12} T_{u r} = I

for RM

T_{u r}

will be improper.…”

Section: Resultsmentioning

confidence: 97%

“…Remark The phenomenon that the closed‐loop system (consisted by the plant, feedforward and feedback controller) can be stable in the case that transfer matrix

K_{r}

of the feedforward controller is not necessarily proper and stable, is explained in Proposition 1 of Reference 1.…”

Section: Resultsmentioning

confidence: 99%

“…The input

r (t)

of dimension

p_{1}

is an arbitrary reference signal, which has to be tracked by the controlled output

z (t)

. For a review of the tracking problem, see Reference 1 and references therein.…”

Section: Introductionmentioning

confidence: 99%

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Novel controller design for fault tolerant tracking with general additive faults and disturbances

Stefanovski

2021

Intl J Robust & Nonlinear

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A formulation of the problem of fault tolerant tracking (FTT) in presence of general additive faults and disturbances is given. It is proved that a necessary condition for the FTT problem is that the plant is minimum‐phase. Then the problem is solved for the minimum‐phase descriptor systems, but possibly with zeros at infinity. The proposed overall controller consists of a feedback controller, which is stabilizing, and a feedforward controller, whose role is to achieve the tracking of an arbitrary reference signal by the controlled output. The feedback controller consists of a possibly unstable, improper and non‐minimum‐phase nominal controller, a fault estimator, and a fault compensator. The role of the nominal controller is to achieve a nominal tracking behavior in absence of faults. The role of the fault compensator is to achieve a nominal tracking behavior in presence of faults, in case that the fault estimation is accurate. However, the fault estimation need not to be accurate, if a design parameter, depending on the nominal controller, can be chosen small. Illustrative examples are given.

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“…It consists of a feedforward controller, constituted of the blocks

Z

and

Y

, and a feedback controller, constituted of the block

K_{0}

and the fault estimator block. The feedforward controller coincides with one in Reference 1. The fault estimator is elaborated in Section 2.2, and we shall show that the block

K_{0}

includes a nominal controller, elaborated in Section 2.1, and a fault compensator.…”

Section: Resultsmentioning

confidence: 93%

“…Proof We have

T_{z r} = G_{12} T_{u r}

, where

T_{u r}

is the transfer matrix from r to u . By Proposition 1 in Reference 1, it must be proper and stable. By generalization of Lemma 2 in Reference 1 to descriptor systems and with

M = I

, we obtain that Assumption 5(a) must hold.…”

Section: Resultsmentioning

confidence: 97%

“…By Proposition 1 in Reference 1, it must be proper and stable. By generalization of Lemma 2 in Reference 1 to descriptor systems and with

M = I

, we obtain that Assumption 5(a) must hold. Assumption 5(b) is also necessary for Problem 1, otherwise all solutions of equation

G_{12} T_{u r} = I

for RM

T_{u r}

will be improper.…”

Section: Resultsmentioning

confidence: 97%

“…Remark The phenomenon that the closed‐loop system (consisted by the plant, feedforward and feedback controller) can be stable in the case that transfer matrix

K_{r}

of the feedforward controller is not necessarily proper and stable, is explained in Proposition 1 of Reference 1.…”

Section: Resultsmentioning

confidence: 99%

“…The input

r (t)

of dimension

p_{1}

is an arbitrary reference signal, which has to be tracked by the controlled output

z (t)

. For a review of the tracking problem, see Reference 1 and references therein.…”

Section: Introductionmentioning

confidence: 99%

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Novel controller design for fault tolerant tracking with general additive faults and disturbances

Stefanovski

2021

Intl J Robust & Nonlinear

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show abstract

Fault Diagnosis/Fault-Tolerant Control: A Survey of Results for Linear Systems Over Frequency Region in Presence of Disturbances

Stefanovski

2022

Studies in Systems, Decision and Control

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Almost fault‐tolerant tracking

Cited by 2 publications

References 19 publications

Novel controller design for fault tolerant tracking with general additive faults and disturbances

Novel controller design for fault tolerant tracking with general additive faults and disturbances

Fault Diagnosis/Fault-Tolerant Control: A Survey of Results for Linear Systems Over Frequency Region in Presence of Disturbances

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