Critical Control of Building under Seismic Disturbance

Arunsawatwong, Suchin

doi:10.1007/1-84628-215-2_13

Cited by 9 publications

(6 citation statements)

References 14 publications

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“…was investigated in [6] (see also Chapter 2 of [14]) and was used in the controller design for buildings subject to seismic disturbances in [26]. Recently, the set P…”

Section: Criterion Of Approximation For Siso Systemsmentioning

confidence: 99%

Criterion of Approximation for Designing 2 × 2 Feedback Systems with Inputs Satisfying Bounding Conditions

Chuman

Arunsawatwong

2014

ECTI-EEC

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A common practice in designing a feedback system with a non-rational transfer matrix is to replace the non-rational matrix with an appropriate rational approximant during the design process so that reliable and effcient computational tools for rational systems can be utilized. Consequently, a criterion of approximation is required to ensure that the controller obtained from the approximant still provides satisfactory results for the original system. This paper derives such a criterion for the case of two-input two-output feedback systems in which the design objective is to ensure that the errors and the controller outputs always stay within prescribed bounds whenever the inputs satisfy certain bounding conditions. For a given rational approximant matrix, the criterion is expressed as a set of inequalities that can be solved in practice. It will be seen that the criterion generalizes a known result for single-input single-output systems. Finally, a controller for a binary distillation column is designed by using the criterion in conjunction with the method of inequalities.

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“…was investigated in [6] (see also Chapter 2 of [14]) and was used in the controller design for buildings subject to seismic disturbances in [26]. Recently, the set P…”

Section: Criterion Of Approximation For Siso Systemsmentioning

confidence: 99%

Criterion of Approximation for Designing 2 × 2 Feedback Systems with Inputs Satisfying Bounding Conditions

Chuman

Arunsawatwong

2014

ECTI-EEC

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“…In the paper, as will be seen later, a design solution of (5) (if exists) is obtained by searching in the space of design parameters. This approach has been used successfully by many researchers (e.g., Zakian and Al-Naib, 1973;Lane, 1992Lane, , 1995Whidborne and Liu, 1993;Whidborne, 2005;Arunsawatwong, 2005;Satoh, 2005). For further details, see Zakian (2005).…”

Section: Fundamental Theorymentioning

confidence: 99%

Design of Fractional PI Controllers for a Binary Distillation Column with Disturbances Restricted in Magnitude and Slope

Silpsrikul

Arunsawatwong

2011

IFAC Proceedings Volumes

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“…where β is a real number, δ denotes Dirac delta function and h1 : R → R is a bounded and piecewise continuous function for all t. It should be noted that the impulse response in (11) can be used to describe a wide class of system (4), and thus is not restricted only to rational systems. This section presents the methodology that is used in approximating the infinite-dimensional convex optimization (9) as a convex optimization problem defined in a Euclidean space, which is more easily tractable.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Both P1 and P2 are useful in certain practical applications in which all the possible inputs are transient (see, for example, [7,10,11]). However, since P2 has more restrictions than P1, it can be seen that P2 contains less fictitious inputs (that is, inputs that cannot happen or are not likely to happen in practice).…”

Section: Introductionmentioning

confidence: 99%

Computation of peak output for inputs restricted in L 2 and L ∞ norms using finite difference schemes and convex optimization

Silpsrikul

Arunsawatwong

2009

Int. J. Autom. Comput.

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Control systems designed by the principle of matching gives rise to problems of evaluating the peak output. This paper proposes a practical method for computing the peak output of linear time-invariant and non-anticipative systems for a class of possible sets that are characterized with many bounding conditions on the two-and/or the infinity-norms of the inputs and their derivatives. The original infinite-dimensional convex optimization problem is approximated as a large-scale convex programme defined in a Euclidean space, which are associated with sparse matrices and thus can be solved efficiently in practice. The numerical results show that the method performs satisfactorily, and that using a possible set with many bounding conditions can help to reduce the design conservatism and thereby yield a better match.

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Critical Control of Building under Seismic Disturbance

Cited by 9 publications

References 14 publications

Criterion of Approximation for Designing 2 × 2 Feedback Systems with Inputs Satisfying Bounding Conditions

Criterion of Approximation for Designing 2 × 2 Feedback Systems with Inputs Satisfying Bounding Conditions

Design of Fractional PI Controllers for a Binary Distillation Column with Disturbances Restricted in Magnitude and Slope

Computation of peak output for inputs restricted in L 2 and L ∞ norms using finite difference schemes and convex optimization

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