Moment Stability of the Critical Case of PWM Feedback Systems with Stochastic Perturbations | Zendy

Zhong Zhang | Zendy; Lixia Ye | Zendy

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Moment Stability of the Critical Case of PWM Feedback Systems with Stochastic Perturbations

Author(s) -

Zhong Zhang,

Lixia Ye

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/736408

Subject(s) - mathematics , multiplicative function , stability (learning theory) , control theory (sociology) , moment (physics) , pulse width modulation , complex plane , mathematical analysis , control (management) , computer science , power (physics) , physics , classical mechanics , quantum mechanics , machine learning , artificial intelligence

This paper further studies the moment stability of pulse-width-modulated (PWM) feedback system which is subjected to multiplicative and additive random disturbance modeled by the derivative of Wiener process. Different from the existing investigation, we focus on its critical case. The linear plant considered herein is assumed to be critically stable; that is, the plant has one and only one pole at the origin, and the rest of the poles are left half of complex plane. We establish several globally asymptotically stability criteria for such PWM feedback systems and then propose an algorithm to calculate the stability bound effectively. Furthermore, we present two numerical examples to show the effectiveness of the theoretical results

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