Implications of Routh stability criteria

Krishnamurthi, V.

doi:10.1109/tac.1980.1102330

Cited by 7 publications

(8 citation statements)

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“…The characteristic equation can be obtained from the speed control loop. According to the Routh stability criteria [22], the ranges of proportional and integral gains can be determined.…”

Section: Maximum Power Point Tracking Control Of Wecsmentioning

confidence: 99%

Neutral-Point Potential Balancing of Three-Level Inverters in Direct-Driven Wind Energy Conversion System

Xia

Shi

et al. 2011

IEEE Trans. Energy Convers.

125

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With the increase of wind energy conversion system (WECS) capacity, conventional two-level voltage source converters tend to be replaced gradually by multilevel neutral-point (NP)-clamped converters. In this study, the topology of a boost threelevel (TL) chopper on the front of a TL diode-clamped inverter is used for direct-driven WECSs. The switch-signal phase delay control (SSPDC) is proposed for NP potential balancing of TL inverter based on the characteristics of boost TL chopper. As the boost chopper is also used for maximum power point tracking, the controller with dual PI regulators is designed for the chopper. Parameters of the two PI regulators are determined according to the state space averaging model of the boost TL chopper using SSPDC. In addition, the proposed NP balancing method is compared with two methods based on redundant vector selection. The validity of the proposed method is verified by analysis and simulation results.Index Terms-Boost three-level (TL) chopper, direct-driven wind energy system, neutral-point (NP) potential balancing, redundant vector selection (RVS), switch-signal phase delay control (SSPDC), TL diode-clamped inverter.

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“…The characteristic equation can be obtained from the speed control loop. According to the Routh stability criteria [22], the ranges of proportional and integral gains can be determined.…”

Section: Maximum Power Point Tracking Control Of Wecsmentioning

confidence: 99%

Neutral-Point Potential Balancing of Three-Level Inverters in Direct-Driven Wind Energy Conversion System

Xia

Shi

et al. 2011

IEEE Trans. Energy Convers.

125

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“…(ii) All the elements in the first column of the stability table should be of the same sign. Lemma 2 [13]: For a given system, if any element of a row in the Routh stability table is found to be of different sign, it can be concluded that the system is unstable and has one or more eigenvalues in the right half of the s-plane and there is no need for further computation.…”

Section: Preliminariesmentioning

confidence: 99%

“…If any of these simple conditions are not satisfied then the robust system is unstable and there is no need to apply Routh criterion to the polynomials. But if all the conditions, i.e., (7) and from (9) to (13) are satisfied then we can check remaining conditions, i.e., (8) and (14). Based on these conditions, we can decide priority of solving Hurwitz stability of four Kharitonov's polyno-mial, hence, the robust stability of the system.…”

Section: Robust Stability Conditions For Higher Order Systems N ( ≥ 5)mentioning

confidence: 99%

“…Thus, it may be possible that in some class of control system problems, robust stability result can be obtained by using only simple conditions without applying Routh criterion to these polynomials or by applying it to few priority-schedule polynomials instead of all the four Kharitonov's polynomials. The proposed approach is based on Routh criterion and interesting corollary on 'implications of Routh stability criterion' [13].…”

Section: Introductionmentioning

confidence: 99%

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On robust stability of the systems

Hote

Choudhury²,

Gupta

2009

Int. J. Control Autom. Syst.

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In this paper, to check robust stability for higher order interval systems ( 5), n ≥ a step-bystep 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.

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“…In [8], it is shown that for higher-order interval systems, the necessary conditions of stability are determined by using simple conditions based on Routh criterion and corollary on implications of Routh criterion [9]. It is observed that along with these conditions, some more conditions can be explored which will be helpful in checking the stability of interval polynomial, and hence reduces the computational burden.…”

Section: Introductionmentioning

confidence: 99%