Unstable zeros limit the achievable control performance. When a continuous-time system with relative degree greater than or equal to three is discretized using a zero-order hold, at least one of the zeros of the resulting sampled-data model is unstable for small sampling periods. Thus, attention is here focused on continuous-time systems with relative degree equal to two. This paper analyzes the zeros of the sampled-data models corresponding to the continuous-time systems mentioned above and gives approximate expressions of the zeros in the form of a power series expansions up to the fourth order term of sampling period. Meanwhile, the stability of the zeros is discussed for small sampling periods and a new stability condition is derived. It is further extension of the previous result. © 2011 Intl Journal of Adv Mechatr.
CITATION STYLE
Liang, S., Ishitobi, M., Koga, T., & Kunimatsu, S. (2011). On zeros of sampled-data system with relative degree two. In 2011 International Conference on Advanced Mechatronic Systems, ICAMechS 2011 - Final Program (pp. 67–71).
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