Disturbance Rejection of Multiple-Input Systems Using a Dual Observer

Fuwa, Katsuhiko; Narikiyo, Tatsuo; Kandoh, Hisashi

doi:10.9746/sicetr1965.39.110

Cited by 5 publications

(5 citation statements)

References 2 publications

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“…Following the results given in Ref. 11, the columns of U 2 are eigenvectors (or generalized eigenvectors) belonging to all stable eigenvalues of A 11 − A 12 E 2 −1 E 1 , and thus there exists a matrix Λ 2 such that Reλ(Λ 2 ) < 0 and…”

Section: Conditions Of Zero Assignmentmentioning

confidence: 84%

“…Next, find the matrices Σ 1 , Σ 2 , and Λ 2 . When U 1 is given as U 1 = [α 11 α 21 ] T , α 11 ≠ 0, then is a nonsingular matrix. Since From Eq.…”

Section: Synthesis Of Feedback Gain Matrixmentioning

confidence: 99%

“…11, determine the parameter matrices J and U 2 of the dual observer such that conditions (8) are satisfied.…”

Section: Methodsmentioning

confidence: 99%

“…11, we consider the minimum order dual observer. Since B is a full column rank matrix, there exists a nonsingular matrix H such that Then, we transform Eq.…”

Section: Synthesis Of Dual Observermentioning

confidence: 99%

“…The proposed method need not change the control input twice per sample interval, and thus in the case of two-delay control synthesis, ripple of the responses does not occur. Also, in a feedback control system based on a dual observer and a disturbance observer, zero assignment and disturbance attenuation [11] can be simultaneously achieved.…”

Section: Introductionmentioning

confidence: 99%

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Zero assignment using a dual observer

Fuwa¹,

Narikiyo²,

Kando³

2005

Elect. Eng. Jpn.

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SUMMARYThe zero assignment problem is of great importance among significant control synthesis problems. For example, this problem can be formulated as a model matching problem which achieves the desired input-output properties or improves the transient response of closed-loop systems. In discrete-time systems, poles and zeros can be assigned by state feedback using two-delay input control. However, in continuous-time systems, it is well known that zeros cannot be assigned by the state feedback control law. Taking account of this fact, a synthesis method which can assign the zeros of the control system by state feedback using a dual observer is proposed in this paper. The basic idea is to increase the number of control inputs via a dual observer. Zero assignment can be achieved by state feedback through the increased number of control channels.

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Section: Conditions Of Zero Assignmentmentioning

confidence: 84%

“…Next, find the matrices Σ 1 , Σ 2 , and Λ 2 . When U 1 is given as U 1 = [α 11 α 21 ] T , α 11 ≠ 0, then is a nonsingular matrix. Since From Eq.…”

Section: Synthesis Of Feedback Gain Matrixmentioning

confidence: 99%

“…11, determine the parameter matrices J and U 2 of the dual observer such that conditions (8) are satisfied.…”

Section: Methodsmentioning

confidence: 99%

“…11, we consider the minimum order dual observer. Since B is a full column rank matrix, there exists a nonsingular matrix H such that Then, we transform Eq.…”

Section: Synthesis Of Dual Observermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Zero assignment using a dual observer

Fuwa¹,

Narikiyo²,

Kando³

2005

Elect. Eng. Jpn.

Self Cite

View full text Add to dashboard Cite

show abstract

Zero Assignment using a Dual Observer

2004

Self Cite

View full text Add to dashboard Cite

The zero assignment is significant one among remarkable control synthesis problems. For example, this problem can be formulated as the model matching problem which attains the desired input-output characteristic or the improvement of transient response of closed loop system. In discrete-time systems, poles and zeros can be assigned by state feedback law using 2-delay input control. However, in continuous-time systems, it is well known that zeros cannot be assigned by the state feedback control law. Taking into account this situation, in this paper, a design method which can assign zeros of control system by the state feedback using a dual observer is proposed. It is noted that the number of control inputs is increased by the number of assignable zeros in the dual observer synthesis. Following this procedure in the state feedback control synthesis through the increased control channel, zero assignment can be attained.

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