Explicit solution to the singular LQ regulation problem

In this paper, a decoupling control for a non‐minimum phase system is considered in terms of the limiting form of linear optimal regulator problems, and an explicit relationship between the limiting properties and the decoupling control is shown. Moreover, using an appropriate performance index, this paper deals with a new method of decoupling control to exclude the effect of the fixed poles by pole‐zero cancellation. Stability and sensitivity are improved by this method. This paper also gives numerical examples to illustrate the effectiveness of decoupling control with the limiting form. © 2000 Scripta Technica, Electr Eng Jpn, 132(2): 49–57, 2000

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“…These studies have been pursued for a continuous time system [13] and for a discrete time system [4,5].…”

Section: Introductionmentioning

confidence: 99%

Decoupling control with a limiting form of linear optimal regulator for a non-minimum phase system

2000

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“…However, the design of SAPR described in [14] is not complete for handling the case where the system has a general time-delay structure. Here, we have used the unitary interactor matrix [20] to obtain an explicit algorithm. To detect the fault of an arbitrary component, the so-called generalized parity relations have been developed in [10] and [25].…”

Section: Introductionmentioning

confidence: 99%

A complete procedure for residual generation and evaluation with application to a heat exchanger

Peng

Youssouf

Arte

et al. 1997

IEEE Trans. Contr. Syst. Technol.

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In this paper, we will build up the link between parity relation design and residual evaluation via generalized likelihood ratio (GLR) test. To this end, the so-called singlesensor parity relation (SSPR) and single-actuator parity relation (SAPR) are refined for stochastic systems in frequency domain by including a whitening filter. This result is also extended to the generalized parity relations in order to detect any failure mode. The proposed design procedure not only achieves failure detection and isolation, but also generates a special residual form which can be evaluated by a GLR test. Besides, a comprehensive summary of the GLR test with rules of thumb to select the design parameters is provided. The effectiveness of the proposed procedure is illustrated by processing measured data from a pilot heat exchanger to detect sensor faults, and by performing a simulation study to detect actuator faults.

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“…Then this interactor matrix is defined as the unitary interactor matrix which has been established by Peng and Kinnaert [22]. This unitary interactor is an all-pass term, and factorization of such a unitary interactor matrix does not change the spectral property of the system.…”

Section: Interactor Matrixmentioning

confidence: 99%

Performance Assessment Methods of MIMO Control Systems based on Output Variance Limit

Chu¹

2014

IJCA

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Explicit solution to the singular LQ regulation problem

Cited by 67 publications

References 9 publications

Decoupling control with a limiting form of linear optimal regulator for a non-minimum phase system

Decoupling control with a limiting form of linear optimal regulator for a non-minimum phase system

A complete procedure for residual generation and evaluation with application to a heat exchanger

Performance Assessment Methods of MIMO Control Systems based on Output Variance Limit

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