2024 |
Gyunghoon Park / Hyungbo Shim / Tomomichi Hagiwara On Existence of Uniformly Marginally Stable Zeros of Linear Sampled-data Systems and its Application to Stable Inversion-based Control Journal Article In: IEEE Access, vol. 12, pp. 49826 - 49836, 2024, ISSN: 2169-3536. Abstract | Links | BibTeX | Tags: Linear Systems, marginal stability, Sampled data system @article{nokey, This paper investigates a class of sampled-data systems in which at least one of the discretetime zeros remains on the unit circle regardless of the sampling period. This type of zero is referred to as an ‘‘uniformly marginally stable’’ (UMS) zero. Utilizing this novel concept, we present necessary conditions as well as sufficient conditions for the continuous-time plant whose sampled-data model has an UMS zero. The significance of the symmetry regarding the zeros and the poles of the continuous-time plant is highlighted as it plays a vital role in enforcing a discrete-time zero of the sampled-data system to be UMS, for both discretization zeros and intrinsic zeros. We develop the theory for sampled-data systems employing a conventional sampler and a zero-order hold together with a single-input single-output continuous-time plant, and then observe that certain results can be extended to the generalized holds. As an application, we establish a condition for sampled-data systems that allow for discrete-time stable inversion-based control where the absence of such an UMS zero is crucial in the design of such control systems. |
List of English Publication
2024 |
On Existence of Uniformly Marginally Stable Zeros of Linear Sampled-data Systems and its Application to Stable Inversion-based Control Journal Article In: IEEE Access, vol. 12, pp. 49826 - 49836, 2024, ISSN: 2169-3536. |