AN ITERATIVE METHOD FOR THE FINITE-TIME BILINEAR-QUADRATIC CONTROL PROBLEM

被引：76
|
作者：
HOFER, EP
TIBKEN, B
机构：
[1] Technical Univ of Hamburg, Germany
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1988年 / 57卷 / 03期
关键词：
Chemical Equipment - Reactors - Mathematical Techniques - Iterative Methods - Optimization - Process Control;
D O I：
10.1007/BF02346161
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
For bilinear control systems with quadratic cost, the socalled bilinear-quadratic problems, a feedback controller for the finite-time case is designed. An iteration procedure in close proximity to the Riccati approach is presented, and the proof of convergence is outlined. The potential of the new method is discussed, and the design procedure is illustrated for two examples.
引用
收藏
页码：411 / 427
页数：17
相关论文
共 50 条
  • [21] THE SUCCESSIVE APPROXIMATION PROCEDURE FOR FINITE-TIME OPTIMAL-CONTROL OF BILINEAR-SYSTEMS
    AGANOVIC, Z
    GAJIC, Z
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (09) : 1932 - 1935
  • [22] Passivity-based Finite-time Attitude Control Problem
    Liu, Shuochen
    Sun, Junyong
    Geng, Zhiyong
    2013 9TH ASIAN CONTROL CONFERENCE (ASCC), 2013,
  • [23] Results on finite-time boundedness and finite-time control of non-linear quadratic systems subject to norm-bounded disturbances
    Bhiri, Bassem
    Delattre, Cedric
    Zasadzinski, Michel
    Abderrahim, Kamel
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (10): : 1648 - 1657
  • [24] Second Chebyshev wavelets (SCWs) method for solving finite-time fractional linear quadratic optimal control problems
    Baghani, Omid
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 190 : 343 - 361
  • [25] An Iterative Method for Computing Optimal Controls for Bilinear Quadratic Tracking Problems
    Bomela, Walter
    Li, Jr-Shin
    2016 AMERICAN CONTROL CONFERENCE (ACC), 2016, : 2912 - 2917
  • [26] On the finite-time singularity problem in hydrodynamics
    Pelz, RB
    Gulak, Y
    Greene, JM
    Boratov, ON
    FUNDAMENTAL PROBLEMATIC ISSUES IN TURBULENCE, 1999, : 33 - 40
  • [27] Piecewise Quadratic Functions for Finite-Time Stability Analysis
    Ambrosino, R.
    Garone, E.
    Ariola, M.
    Amato, F.
    2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2012, : 6535 - 6540
  • [28] LINEAR QUADRATIC REGULATOR WITH VARYING FINITE-TIME DURATIONS
    TASCH, U
    NAGURKA, ML
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 1992, 114 (03): : 517 - 519
  • [29] Fast and Robust Control of Excitation Systems: A Finite-time Method
    WANG Yu-zhen
    Journal of Systems Science and Systems Engineering, 2001, (02) : 148 - 161
  • [30] Iterative Method for Solving Parabolic Linear-Quadratic Optimal Control Problem with Constraints on the Time Derivative of the State
    Lapin A.V.
    Romanenko A.D.
    Lobachevskii Journal of Mathematics, 2018, 39 (7) : 916 - 928
12345