Robust control in the gap: A state-space solution in the presence of a single input delay

被引:21
作者
Tadmor, G
机构
[1] Department of Electrical and Computer Engineering, Northeastern University, Boston
基金
美国国家科学基金会;
关键词
gap robustness; H-infinity control; input delay; matrix Riccati equations;
D O I
10.1109/9.623103
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A solution is provided to the problem of (sub)optimal robust design in the gap for a system with a single input lag. The problem is shown to reduce to two matrix algebraic Riccati equations that solve an allied linear-quadratic-Gaussian/H-2 problem and a parameterized differential matrix Riccati equation. The analysis intertwines finite-dimensional delay equations and distributed abstract evolution models. The parameterized family of suboptimal compensators is presented in terms of a neutral equation model.
引用
收藏
页码:1330 / 1335
页数:6
相关论文
共 27 条
  • [1] [Anonymous], 1978, Infinite Dimensional Linear Systems Theory
  • [2] Curtain RF, 1995, An Introduction to Infinite-Dimensional Linear Systems Theory
  • [3] DYM H, 1993, EXPLICIT FORMULAS OP
  • [4] H-INFINITY SENSITIVITY MINIMIZATION FOR DELAY SYSTEMS
    FLAMM, DS
    MITTER, SK
    [J]. SYSTEMS & CONTROL LETTERS, 1987, 9 (01) : 17 - 24
  • [5] WEIGHTED SENSITIVITY MINIMIZATION FOR DELAY SYSTEMS
    FOIAS, C
    TANNENBAUM, A
    ZAMES, G
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1986, 31 (08) : 763 - 766
  • [6] OPTIMAL ROBUSTNESS IN THE GAP METRIC
    GEORGIOU, TT
    SMITH, MC
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (06) : 673 - 686
  • [7] ICHIKAWA A, 1982, SIAM J CONTROL OPTIM, P645
  • [8] H-INFINITY CONTROL WITH TRANSIENTS
    KHARGONEKAR, PP
    NAGPAL, KM
    POOLLA, KR
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1991, 29 (06) : 1373 - 1393
  • [9] KHARGONEKAR PP, 1987, SYST CONTROL LETT, V8, P307
  • [10] KOJIMA A, 1994, PROCEEDINGS OF THE 1994 AMERICAN CONTROL CONFERENCE, VOLS 1-3, P1939