A note on low-order modeling

Ashoor, N.; Singh, V. P.

doi:10.1109/tac.1982.1103087

Cited by 38 publications

(8 citation statements)

References 7 publications

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“…175 Occasionally, women participated in these "sinister practices, sometimes devouring the enemy's liver to avenge a husband or brother has killed in battle". 176 Th is practice was refl ected in the battle of Uhud, where Hind, mother of Caliph Muawia, "indulged" in this sort of mutilation of "enemy corpses". 177 In particular, Hind concentrated on Hamza, the uncle, of the Prophet, by eviscerating him and crushing his liver.…”

Section: Practices Of Torture and Reprisalmentioning

confidence: 99%

Prisoners of War: A Comparative Study of the Principles of International Humanitarian Law and the Islamic Law of War

Zeidy¹,

Murphy

2009

Int Crim Law Rev

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Th e treatment of prisoners of war (POWs) has been an issue of concern to all those engaged in armed confl ict for centuries. Th e problem of how to deal with POWs is not a new one and their treatment is a question with which the laws of war have been particularly concerned. Not all persons captured in the course of armed confl ict are entitled to POW status. Generally, only persons recognized as "combatants" in accordance with international humanitarian law are entitled to POW status upon capture by an adverse party in armed confl ict. Under the Th ird Geneva Convention of 1949, POWs are the responsibility of the capturing power from the moment of capture, and not of the individual or military units, which actually capture them. POWs must at all times be humanely treated and the Th ird Convention provides clear rules in relation to their camps, quarters, food and clothing. Th e principles embodied in the Islamic Law of War also provide a comprehensive framework for the protection of POWs. Nevertheless, there are some important diff erences between Islamic Law of War and the principles contained in the Geneva Conventions and Hague Regulations, especially in relation to triggering the application of the laws of war and the concept of armed confl ict. What is most striking is the similarity in the protection provided by both legal frameworks. However, the single biggest challenge to both regimes remains the implementation of the relevant principles.

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Section: Practices Of Torture and Reprisalmentioning

confidence: 99%

Prisoners of War: A Comparative Study of the Principles of International Humanitarian Law and the Islamic Law of War

Zeidy¹,

Murphy

2009

Int Crim Law Rev

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“…In 1974, a new model order abatement method called the Padé approximation was proposed (Shamash, 1974). The Padé approximation technology is a convenient method for the matching of starting few time moments of the abated model to the original system and also for the matching of steady-state responses (Ashoor and Singh, 1982; Prajapati et al, 2018). Sometimes, the abated system obtained by the Padé approximation scheme is unstable even though the original model is stable and it is the major limitation of this method (Prajapati and Prasad, 2018a; Shamash, 1974).…”

Section: Introductionmentioning

confidence: 99%

“…This limitation is circumvented by a method known as the Routh stability method (Krishnamurthy and Seshadri, 1978). In this method, the first few Markov parameters of the original system and the ROM are approximately similar, due to this the transient responses of the actual plant and the ROM are approximately matched (Ashoor and Singh, 1982; Prajapati et al, 2018). Sometimes, the Routh stability algorithm gives the same abated model for the different large-scale models and this non-uniqueness is discussed in Prajapati and Prasad (2018d) and Singh (1979).…”

Section: Introductionmentioning

confidence: 99%

Reduction of linear dynamic systems using generalized approach of pole clustering method

Prajapati

Prasad

2021

Transactions of the Institute of Measurement and Control

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A new model order abatement method based on the clustering of poles and zeros of a large-scale continuous time system is proposed. The clustering of poles and zeros are used for finding the cluster centres. The abated model is identified from the cluster centres, which reflect the effectiveness of the dominant poles of the clusters. The cluster centre is determined by taking [Formula: see text] root of the sum of the inverse of [Formula: see text] power of poles (zeros) in a particular cluster. It is famous that the magnitude of the pole cluster centre plays an important role in the clustering technique for the simplification of large-scale systems. The magnitude of the cluster centres computed by the modified pole clustering method or some other methods based on the pole clustering techniques is large as compared to the proposed technique. The less magnitude of pole cluster centre reflects the better approximations and proper matching of the abated model with the original system. Therefore, the proposed method offers better approximations matching between actual and abated systems during the transient period compared to some other clustering methods, which supports the replacement of large-scale systems by proposed abated systems. The proposed technique is a generalized version of the standard pole clustering technique. The proposed method guarantees the retention of dominant poles, stability and other fundamental control properties of the actual plant in the abated model. The proposed algorithm is illustrated by the five standard systems taken from the literature. The accuracy and effectiveness of the proposed method are verified by comparing the time responses and various performance error indices.

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“…Among these approaches, Pade approximation (Prajapati and Prasad, 2018a; Shamash, 1974), is a frequently applied system diminution methodology and it is an appropriate scheme for the resembling of the static response of the approximated lower order system and original model. However, this methodology fails to keep the stability of some class of large scale original models into its equivalent reduced model (Ashoor and Singh, 1982; Prajapati et al, 2018). In order to circumvent this drawback several mixed model diminution techniques exist in the literature (Chen et al, 1980; Pal, 1979; Prasad, 2000; Vishwakarma and Prasad, 2008; Wan, 1981).…”

Section: Introductionmentioning

confidence: 99%

“…In order to circumvent this drawback several mixed model diminution techniques exist in the literature (Chen et al, 1980; Pal, 1979; Prasad, 2000; Vishwakarma and Prasad, 2008; Wan, 1981). Routh stability (Krishnamurthy and Seshadri, 1978) is another methodology for the diminution of complex linear systems and it is a convenient scheme for the resembling of the transient behavior of the complex system and its equivalent simplified model (Ashoor and Singh, 1982; Prajapati et al, 2018). This approach also has some drawbacks such as non-uniqueness (this method may give a similar reduced order system for different complex models) and unable to keep the dominant roots in the lower order system for the non-minimum higher order plants (Shamash, 1980; Singh, 1979).…”

Section: Introductionmentioning

confidence: 99%

A novel order reduction method for linear dynamic systems and its application for designing of PID and lead/lag compensators

Prajapati

Prasad

2020

Transactions of the Institute of Measurement and Control

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This paper proposes a new model order reduction technology for the simplification of the complexity of large scale models. The proposed technique is focused on the Mihailov stability approach that guarantees the stability of the reduced model constrained that the complex system is stable. In this scheme, the denominator coefficients of the approximated simplified system are computed by using the Mihailov stability algorithm and the truncation method is used for the determination of coefficients of the numerator polynomial. The effectiveness and efficiency of the proposed approach are illustrated by comparing the step responses of the given system and approximated lower order models. The error indices such as integral square error (ISE), relative integral square error (RISE), integral absolute error (IAE) and integral time weighted absolute error (ITAE) are used as performance indices for comparing the proposed scheme with other existing standard reduced order modeling methods. The obtained reduced model is used for the designing of controllers for the original complex system. A new scheme for the determination of controllers is also proposed for the large scale models with help of reduced order modeling. The proposed technique is validated by applying it to an eighth order flexible-missile control system and a third order fuel control system. The simulation results show the dominance of the proposed methodologies over the latest model diminution techniques available in the literature.

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A note on low-order modeling

Cited by 38 publications

References 7 publications

Prisoners of War: A Comparative Study of the Principles of International Humanitarian Law and the Islamic Law of War

Prisoners of War: A Comparative Study of the Principles of International Humanitarian Law and the Islamic Law of War

Reduction of linear dynamic systems using generalized approach of pole clustering method

A novel order reduction method for linear dynamic systems and its application for designing of PID and lead/lag compensators

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