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  3. Robust D-stability testing function for LTI fractional order interval systems
Robust D-stability testing function for LTI fractional order interval systems
743 viewed

Robust D-stability testing function for LTI fractional order interval systems

Mohsenipour, R

Robust D-stability testing function for LTI fractional order interval systems

Mohsenipour, R ; Sharif University of Technology | 2018

743 Viewed
  1. Type of Document: Article
  2. DOI: 10.1109/CCTA.2018.8511349
  3. Publisher: Institute of Electrical and Electronics Engineers Inc , 2018
  4. Abstract:
  5. This paper investigates the robust D -stability test of LTI fractional order interval systems (FOISes). The D stability includes the performance of an LTI system in addition to stability. The coefficients of the system transfer function are uncertain parameters that each adopts a value in a real interval. Firstly, the concept of the value set is extended to the FOISes, and a necessary and sufficient condition is presented to study the robust D-stability of FOISes. Secondly, the value set of the FOISes is obtained analytically, and based on it a robust D- stability testing function is introduced to check the presented condition. The results obtained are applicable to systems of both commensurate and incommensurate orders. Finally, the theorems presented are applied to a space tether system. © 2018 IEEE
  6. Keywords:
  7. Linear systems ; Space tethers ; Uncertainty analysis ; D stability ; Fractional order ; Interval systems ; Real intervals ; Robust-D-stability ; System transfer function ; Tether system ; Uncertain parameters ; System stability
  8. Source: 2nd IEEE Conference on Control Technology and Applications, CCTA 2018, 21 August 2018 through 24 August 2018 ; 2018 , Pages 1277-1282 ; 9781538676981 (ISBN)
  9. URL: https://ieeexplore.ieee.org/document/8511349