H∞ synthesis of nonlinear feedback systems in a Volterra representation

被引:5
|
作者
Glass, JW [1 ]
Franchek, MA [1 ]
机构
[1] Purdue Univ, Sch Mech Engn, Ray W Herrick Labs, W Lafayette, IN 47907 USA
关键词
Closed loop control systems - Error analysis - Feedback control - Fuel injection - Linear systems - Numerical methods - Optimization - Problem oriented languages;
D O I
10.1115/1.1485749
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Presented in this paper is a procedure for selecting the H. performance weights for a class of nonlinear feedback systems modeled by a truncated Volterra series. The performance weight selection addresses the trade-offs between closed-loop performance and closed-loop stability. The class of feedback systems considered are regulating systems subject to step disturbances. The methodology is based on two recent results concerning closed loop stability for this class of nonlinear feedback systems. These stability conditions can be formulated as an H. problem where the performance weights are systematically identified. This synthesis procedure is applied to the idle speed control of a Ford 4.6L V-8 fuel injection engine. Through this application, the design trade-off between closed-loop performance and stability is illustrated.
引用
收藏
页码:382 / 389
页数:8
相关论文
共 50 条
  • [1] Stability of nonlinear feedback systems in a Volterra representation
    Glass, JW
    Franchek, MA
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2000, 10 (10) : 799 - 819
  • [2] Stability of nonlinear feedback systems in a Volterra representation
    Glass, J.W.
    Franchek, M.A.
    [J]. 2000, John Wiley & Sons Ltd, Chichester, United Kingdom (10)
  • [3] Lotka-volterra representation of general nonlinear systems
    HernandezBermejo, B
    Fairen, V
    [J]. MATHEMATICAL BIOSCIENCES, 1997, 140 (01) : 1 - 32
  • [4] A new convergence analysis for the Volterra series representation of nonlinear systems
    Zhu, Yun-Peng
    Lang, Z. Q.
    [J]. AUTOMATICA, 2020, 111
  • [5] Nonlinear H∞ output feedback controller synthesis for bilinear systems using nonlinear weights
    Shimizu, E
    Sampei, M
    Nakayama, H
    [J]. NONLINEAR CONTROL SYSTEMS DESIGN 1998, VOLS 1& 2, 1998, : 179 - 182
  • [6] Nonlinear H-infinity method for Volterra systems
    Liu, P
    Zinober, ASI
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1996, 65 (04) : 667 - 680
  • [7] VOLTERRA SERIES SYNTHESIS OF NONLINEAR STOCHASTIC TRACKING SYSTEMS
    LANDAU, M
    LEONDES, CT
    [J]. IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1975, AE11 (02) : 245 - 265
  • [8] A NOTE ON THE COPRIME FRACTIONAL REPRESENTATION OF NONLINEAR FEEDBACK-SYSTEMS
    CHEN, GR
    [J]. SYSTEMS & CONTROL LETTERS, 1990, 14 (01) : 41 - 43
  • [9] Nonlinear output feedback H∞ control for polynomial nonlinear systems
    Zheng, Qian
    Wu, Fen
    [J]. 2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 1196 - 1201
  • [10] Synthesis of optimal feedback for nonlinear control systems
    Balashevich, NV
    [J]. 2003 INTERNATIONAL CONFERENCE PHYSICS AND CONTROL, VOLS 1-4, PROCEEDINGS: VOL 1: PHYSICS AND CONTROL: GENERAL PROBLEMS AND APPLICATIONS; VOL 2: CONTROL OF OSCILLATIONS AND CHAOS; VOL 3: CONTROL OF MICROWORLD PROCESSES. NANO- AND FEMTOTECHNOLOGIES; VOL 4: NONLINEAR DYNAMICS AND CONTROL, 2003, : 1255 - 1260