Order Reduction in z-Domain for Interval System Using an Arithmetic Operator

Choudhary, Amit Kumar; Nagar, Shyam Krishna

doi:10.1007/s00034-018-0912-7

Cited by 25 publications

(4 citation statements)

References 17 publications

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“…The modified Routh table (Table 1) for ( 21) is produced in Table 3. Using (12), the fifth-order denominator polynomial of ROCIM obtained from Table 3…”

Section: Resultsmentioning

confidence: 99%

“…The transfer function having interval parameters is known as interval systems. Some practical systems, mathematically modelled as interval systems, are cold rolling mill, DC shunt motor, and oblique wing aircraft [12]. The interval transfer functions of cold rolling mill, DC shunt motor and oblique wing aircraft are given, respectively, in (1), ( 2) and (3).…”

Section: Introductionmentioning

confidence: 99%

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Archives of Control Sciences

Bokam¹,

Singh

Devarapalli

et al. 2021

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In recent, modeling practical systems as interval systems is gaining more attention of control researchers due to various advantages of interval systems. This research work presents a new approach for reducing the high-order continuous interval system (HOCIS) utilizing improved Gamma approximation. The denominator polynomial of reduced-order continuous interval model (ROCIM) is obtained using modified Routh table, while the numerator polynomial is derived using Gamma parameters. The distinctive features of this approach are: (i) It always generates a stable model for stable HOCIS in contrast to other recent existing techniques; (ii) It always produces interval models for interval systems in contrast to other relevant methods, and, (iii) The proposed technique can be applied to any system in opposite to some existing techniques which are applicable to second-order and third-order systems only. The accuracy and effectiveness of the proposed method are demonstrated by considering test cases of single-inputsingle-output (SISO) and multi-input-multi-output (MIMO) continuous interval systems. The robust stability analysis for ROCIM is also presented to support the effectiveness of proposed technique.

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“…The modified Routh table (Table 1) for ( 21) is produced in Table 3. Using (12), the fifth-order denominator polynomial of ROCIM obtained from Table 3…”

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Archives of Control Sciences

Bokam¹,

Singh

Devarapalli

et al. 2021

View full text Add to dashboard Cite

show abstract

“…where (8) and (19), the generalized expression for TMs of continuous interval system (5) can be written by equation (21) By comparing (9) and (20), the generalized expression for MPs of continuous interval system, given in (5), are expressed by equation 22β m =…”

Section: Proposed Generalized Expressions Of Tms and Mpsmentioning

confidence: 99%

“…The transfer function having interval parameters is known as interval systems. Some practical systems, mathematically modelled as interval systems, are cold rolling mill, DC shunt motor, oblique wing aircraft, and Riverol-Pilipovik water treatment [19], [20]. The interval transfer functions of cold rolling mill, DC shunt motor, oblique wing aircraft, and Riverol-Pilipovik water treatment are given, respectively, in (1), (2), (3) and (4).…”

Section: Introductionmentioning

confidence: 99%