loading page

Application of Mathematics for Robust Stability and for Robustly Strictly Positive Real on an Uncertain Interval Plant
  • Gargi Chakraborty,
  • Buddhadev Ghosh
Gargi Chakraborty
Vellore Institute of Technology

Corresponding Author:[email protected]

Author Profile
Buddhadev Ghosh
Vellore Institute of Technology
Author Profile

Abstract

In this paper, we present one Robust control Problem where \mathcal{P}=\{P(s,l,m)=U(s,l)/V(s,m):l\in L,m\in M \}  is a family of interval plants. Considering a multilinear function with two uncertain parameters l and m, we have shown the strictly positive real (SPR) constructing four Kharitonov Polynomials for that problem. For this case, the aim of the paper is twofold. First, we approach to show the robust stability of {P}(s,l,m). Second we show that   \displaystyle{\min_{l\in L,m\in M}}~~{Re U\left(j\omega,l ight)V^\ast\left(j\omega,m ight)>0} where V^\ast\left(j\omega,m ight) is conjugate of V(j\omega,m) and s=j\omega where omega is frequency assuming some domain. Then we have illustrated one example.
29 Jan 2024Submitted to International Journal of Robust and Nonlinear Control
29 Jan 2024Submission Checks Completed
29 Jan 2024Assigned to Editor
29 Jan 2024Review(s) Completed, Editorial Evaluation Pending
29 May 2024Reviewer(s) Assigned
03 Jul 2024Review(s) Completed, Editorial Evaluation Pending
19 Jul 2024Editorial Decision: Revise Minor
30 Jul 20242nd Revision Received
31 Jul 2024Submission Checks Completed
31 Jul 2024Assigned to Editor
31 Jul 2024Review(s) Completed, Editorial Evaluation Pending
27 Aug 2024Reviewer(s) Assigned