• Title/Summary/Keyword: coprime factor uncertainty

Search Result 3, Processing Time 0.015 seconds

Coprime factor reduction of plant in $H{\infty}$ mixed sensitivity problem ($H{\infty}$ 혼합감도문제에서 플랜트의 소인수요소줄임)

  • 음태호;오도창;박홍배;김수중
    • Journal of the Korean Institute of Telematics and Electronics B
    • /
    • v.33B no.2
    • /
    • pp.20-27
    • /
    • 1996
  • In this paper, we propose a coprime factor model reduction method to get a reduced order controller in $H^{\infty}$ mixed sensitivity problem with frequency weighting functions. for this purpose, the given $H^{\infty}$ mixed sensitivity problem is transformed into robust stabilization problem with coprime factor uncertainty of given plant. This method is to define frequency weighted coprime factors of plant in CSD (chain scattering description) form and reduce the coprime factors using weighted balanced truncation. then a controller is designed to the reduced order coprime factors using J-lossless coprime factorization method. Using this approach, the robust stability condition is derived and good performance is preserved in closed loop system with the given plant and the reduced order controller. Also the order of reduced controller for guaranteeing the robust stability can be determined before designing the reduced controller. The proposed method behaves well in both stable and unstable plant.

  • PDF

Analysis of Discrete-Time Disturbance Observer for Second-Order Systems (2차 시스템에 대한 이산시간 외란 관측기의 분석)

  • 양광진;최영진;정완균
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.9 no.6
    • /
    • pp.425-434
    • /
    • 2003
  • The disturbance observer(DOB) has been widely used in high speed and high precision motion control applications and the characteristics of DOB have been investigated in depth. Though most of DOB's have been implemented as the discrete-time form in digital devices, we are still short of the researches on discrete-time DOB (DDOB) in spite of rich references on continuous-time DOB. In this paper, we discuss about the disturbance rejection property and measurement noise effect of discrete-time DOB. Especially, we will focus on revealing the role of sampling time in designing the discrete-time DOB and show the validity of analysis through simulations and experiments for optical disk drive systems.

On the structure of a discrete-time $H_{\infty}$ two-degrees-of-freedom controller (이산시간 $H_{\infty}$ 2-자유도 제어기의 구조에 관한 연구)

  • 최병욱
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1996.10b
    • /
    • pp.569-572
    • /
    • 1996
  • Explicit state-space formulate for an H$_{.inf}$ based two-degrees-of-freedom robust controller are derived in discrete-time. The controller provides robust stability against coprime factor uncertainty, and a degree of robust performance in the sense of making the closed-loop system match a prespecified reference model. It is shown that the controller consists of a plant observer, the chosen reference model, and a generalized state feedback law associated with the plant and model states. The controller structure is shown to be relatively simple and thus may reduce the computational load on the digital control processor.

  • PDF