COMBINED METHOD USING MODIFIED ROUTH STABILITY ARRAY AND MSE CRITERION FOR THE REDUCTION OF DISCRETE-TIME SYSTEMS.

被引：0
|
作者：
Hwang, Chyi [1 ]
机构：
[1] Natl Cheng Kung Univ, Tainan, Taiwan, Natl Cheng Kung Univ, Tainan, Taiwan
来源：
Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers | 1986年 / 9卷 / 06期
关键词：
SYSTEM STABILITY - SYSTEMS ENGINEERING;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new mixed method using the modified stability array and the mean-square error (MSE) criterion is proposed for deriving reduced-order z-transfer functions for discrete-time systems. More precisely, the modified Routh stability array is used to obtain the reduced-order denominator, thus ensuring stability preservation, while the numerator is obtained by minimizing the mean-square error between the unit step responses of the original system and reduced model. The main feature of the method is that it does not actually evaluate the system and model responses in the step of minimizing the mean-square error.
引用
收藏
页码：647 / 656
相关论文
共 50 条
  • [41] Discrete-Time Pairwise Connected Switched Systems and Lur'e Systems. Tsypkin's Criterion for Systems with Two Nonlinearities
    Kamenetskiy, V. A.
    AUTOMATION AND REMOTE CONTROL, 2022, 83 (09) : 1371 - 1392
  • [42] Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems
    Stanislawski, R.
    Latawiec, K. J.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2013, 61 (02) : 363 - 370
  • [43] Stability Criterion with Less LMI Variables for Linear Discrete-time Systems with Additive Time-delays
    K. Ramakrishnan
    G. Ray
    International Journal of Automation & Computing, 2011, 8 (04) : 490 - 492
  • [44] Method for evaluating stability bounds for discrete-time singularly perturbed systems
    Ghosh, R
    Sen, S
    Datta, KB
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1999, 146 (02): : 227 - 233
  • [45] An Improved Stability Criterion for Discrete-Time Linear Systems With Two Additive Time-Varying Delays
    Yang, Hanhua
    Bo, Xiaoting
    Chen, Chong
    Duan, Wenyong
    IEEE ACCESS, 2022, 10 : 126787 - 126801
  • [46] Stability criterion with less LMI variables for linear discrete-time systems with additive time-delays
    Ramakrishnan K.
    Ray G.
    International Journal of Automation and Computing, 2011, 8 (4) : 490 - 492
  • [47] Order Abatement of Interval Systems Using Stability Equation and Modified Routh Approximation method
    Gautam, Sunil Kumar
    Nema, Savita
    Nema, R. K.
    Ansari, Md Kaisar Azam
    2022 IEEE 6TH INTERNATIONAL CONFERENCE ON CONDITION ASSESSMENT TECHNIQUES IN ELECTRICAL SYSTEMS, CATCON, 2022, : 398 - 402
  • [48] New criterion for finite-time stability of linear discrete-time systems with time-varying delay
    Zuo, Zhiqiang
    Li, Hongchao
    Wang, Yijing
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2013, 350 (09): : 2745 - 2756
  • [49] New criterion for stability of discrete-time systems joined with a saturation operator on the state-space
    Singh, Vimal
    AEU-INTERNATIONAL JOURNAL OF ELECTRONICS AND COMMUNICATIONS, 2012, 66 (06) : 509 - 511
  • [50] A Less Conservative Stability Criterion for Discrete-Time Lur'e Systems With Sector and Slope Restrictions
    Park, JunMin
    Lee, Seok Young
    Park, PooGyeon
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (10) : 4391 - 4395
12345