Discrete system order reduction using multipoint step response matching

Mukherjee, S.; Satakshi,; Mittal, R. C.

doi:10.1016/j.cam.2004.03.006

Cited by 11 publications

(3 citation statements)

References 7 publications

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“…This steady state error is eliminated using equation ( 12 With the aid of MATLAB, the unit step response is plotted. Figure 11 shows a comparison between the unit step response of the suggested approach and the response of other approaches [34,35,36,37]. The response of the proposed method is observed to be similar to the response of the original high order when compared to other techniques.…”

Section: Illustrative Examplesmentioning

confidence: 92%

“…Step response of 8 th order discrete time system and & abated order system The abated 2 nd order system and the original high 8 th order system's frequency response and impulse response are displayed in Figure 12 and 13 respectively and compared with the response of other methods found in the literature [34,35,36,37]. It is evident that the abated systems' response is in close approximation to the response of HOLD system in comparison to the response of other techniques which suggests that the proposed technique is better than other techniques.…”

Section: Figmentioning

confidence: 99%

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GA based Order Abatement Technique for Linear Dynamic Systems for Continues Time System and Discrete Time System

SINGH,

SINGH

2024

Preprint

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In this paper a hybrid technique of order abatement is introduced for Higher Order Linear Dynamic Systems (HOLDSs) for continuous and discrete time system. The denominator dynamics of the original HOLDSs is abated with continued fraction method, yet the abated numerator is extracted using the Genetic Algorithm. The abated system is attained by combining the benefits of the above two methods. The motive of the suggested technique is to conserve the characteristics of the HOLDSs system in abated system by minimizing the Integral Square Error(ISE). The proposed technique assures the conservation of steady-state stability along with the transient stability of the original HOLDS. A comprehensive comparison study is conducted using two HOLDS cases of continuous time system and two cases of discrete time system from the literature. The ISEs, Time-response and Frequency- response are calculated and plotted with the help of Simulink/MATLAB and compared with the other reduction techniques from the literature. The results demonstrate that the suggested technique provides less ISE than alternative approaches and the time and frequency responses closely resemble the response of the original system.

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Section: Illustrative Examplesmentioning

confidence: 92%

Section: Figmentioning

confidence: 99%

GA based Order Abatement Technique for Linear Dynamic Systems for Continues Time System and Discrete Time System

SINGH,

SINGH

2024

Preprint

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“…The second method for obtaining a discrete reduced order model, which is known as a direct method [ 14 ], is deriving the discrete reduced order model directly without using any type of transformation. Some of these methods perform the MOR using canonical expansion of z -transfer function and stable optimal methods [ 13 , 19 ], power decomposition and system identification [ 20 ], and multipoint step response matching [ 21 ]. New optimization techniques, particle swarm optimization [ 22 ], and artificial neural networks [ 11 ] have also been introduced for MOR of discrete-time systems.…”

Section: Introductionmentioning

confidence: 99%

A Robust Computational Technique for Model Order Reduction of Two-Time-Scale Discrete Systems via Genetic Algorithms

Alsmadi

Abo-Hammour

2015

Computational Intelligence and Neuroscience

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A robust computational technique for model order reduction (MOR) of multi-time-scale discrete systems (single input single output (SISO) and multi-input multioutput (MIMO)) is presented in this paper. This work is motivated by the singular perturbation of multi-time-scale systems where some specific dynamics may not have significant influence on the overall system behavior. The new approach is proposed using genetic algorithms (GA) with the advantage of obtaining a reduced order model, maintaining the exact dominant dynamics in the reduced order, and minimizing the steady state error. The reduction process is performed by obtaining an upper triangular transformed matrix of the system state matrix defined in state space representation along with the elements of B, C, and D matrices. The GA computational procedure is based on maximizing the fitness function corresponding to the response deviation between the full and reduced order models. The proposed computational intelligence MOR method is compared to recently published work on MOR techniques where simulation results show the potential and advantages of the new approach.

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Optimization-Based Ecodesigning of a Plugin Hybrid Electric Vehicle with Frugal Engineering for Emerging Economy Market

Dan

Bhattacharjee²,

Mandol

2023

Smart Innovation, Systems and Technologies

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Discrete system order reduction using multipoint step response matching

Cited by 11 publications

References 7 publications

GA based Order Abatement Technique for Linear Dynamic Systems for Continues Time System and Discrete Time System

GA based Order Abatement Technique for Linear Dynamic Systems for Continues Time System and Discrete Time System

A Robust Computational Technique for Model Order Reduction of Two-Time-Scale Discrete Systems via Genetic Algorithms

Optimization-Based Ecodesigning of a Plugin Hybrid Electric Vehicle with Frugal Engineering for Emerging Economy Market

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