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New Approach for Stability of Perturbed DC-DC Converters
Hote, Yogesh V.,Choudhury, D. Roy,Gupta, J.R.P. The Korean Institute of Power Electronics 2009 JOURNAL OF POWER ELECTRONICS Vol.9 No.1
In this paper, a simple technique is presented for robust stability testing of perturbed DC-DC converters having multi-linear uncertainty structure. This technique provides a necessary and sufficient condition for testing robust stability. It is based on the corollary of Routh criterion and gridding of parameters. The previous work based on parametric control theory using Kharitonov's theorem and Hermite Biehler theorem gives conservative results and only the sufficient condition of stability, whereas the proposed method provides the necessary and sufficient condition for testing robust stability and it is computationally efficient. The superiority of the method is compared with the Edge theorem.
New Approach for Stability of Perturbed DC-DC Converters
Yogesh V. Hote,D. Roy Choudhury,J. R. P. Gupta 전력전자학회 2009 JOURNAL OF POWER ELECTRONICS Vol.9 No.1
In this paper, a simple technique is presented for robust stability testing of perturbed DC-DC converters having multi-linear uncertainty structure. This technique provides a necessary and sufficient condition for testing robust stability. It is based on the corollary of Routh criterion and gridding of parameters. The previous work based on parametric control theory using Kharitonov’s theorem and Hermite Biehler theorem gives conservative results and only the sufficient condition of stability, whereas the proposed method provides the necessary and sufficient condition for testing robust stability and it is computationally efficient. The superiority of the method is compared with the Edge theorem.
On Robust Stability of the Systems
Yogesh V. Hote,D. Roy Choudhury,J. R. P. Gupta 제어·로봇·시스템학회 2009 International Journal of Control, Automation, and Vol.7 No.3
In this paper, to check robust stability for higher order interval systems a step-by-step procedure is presented using simple conditions, on the basis of Routh criterion. In this, it is pointed out that there is no need to apply Routh criterion to all the four Kharitonov’s polynomials in some class of control system problems, and hence reduces the computational cost. Numerical examples illustrate the procedure.
Kharitonov’s Theorem and Routh Criterion for Stability Margin of Interval Systems
Yogesh V. Hote,J. R. P. Gupta,D. Roy Choudhury 제어·로봇·시스템학회 2010 International Journal of Control, Automation, and Vol.8 No.3
In this paper, it is shown that the gain margin and phase margin of interval system can be determined analytically using Kharitonov’s theorem and V. Krishnamurthi’s corollary on Routh criterion without using graphical and iterative techniques. Further, it is proved that the existing results of Anderson et al. [2] on the stability of low-order interval systems using Kharitonov’s theorem are only applicable for absolute stability of the interval system and it is not applicable for relative stability of the interval systems, i.e., for phase margin. The proposed technique and stability analysis for low-order interval systems are verified with examples.