Constrained Doubly Coprime Factorization for All Stabilizing H∞ Controllers
- Authors
- 김정훈; 임종국; 최영진
- Issue Date
- Jun-2014
- Publisher
- 제어·로봇·시스템학회
- Keywords
- Doubly coprime factorization; H∞ control; Youla parameterization.
- Citation
- International Journal of Control, Automation, and Systems, v.12, no.3, pp.518 - 529
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- International Journal of Control, Automation, and Systems
- Volume
- 12
- Number
- 3
- Start Page
- 518
- End Page
- 529
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/182101
- DOI
- 10.1007/s12555-013-0073-1
- ISSN
- 1598-6446
- Abstract
- The conventional Youla parameterization (equivalently Q-Parameterization) approach to solve H∞ optimal control problems requires solving the well-known matrix dilation optimization as a method for satisfying the H∞-norm constraint of the closed-loop transfer matrix. As an alternative, this paper presents a constrained doubly coprime factorization so that the H∞-norm constraint of the closed-loop transfer matrix can be satisfied without the need for matrix dilation optimization. For a given H∞-norm constraint, a constrained plant is suggested from a state estimator that includes the worst-case disturbance and estimation effects. Then, the constrained doubly coprime factorization is derived from the constrained plant model. All the stabilizing H∞ controllers are expressed by using the constrained coprime factors. Finally, an application example is provided to demonstrate the effectiveness of the proposed method.
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