Max-Min Control Problems for Constrained Discrete Time Systems

被引:4
|
作者
Rakovic, Sasa V. [1 ]
Baric, Miroslav [1 ]
Morari, Manfred [1 ]
机构
[1] ETH, Automat Control Lab, Zurich, Switzerland
关键词
D O I
10.1109/CDC.2008.4739218
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
We consider control synthesis problems for constrained discrete time nonlinear systems subject to uncertainty. The uncertainty affects the system in a form of a bounded, but known, persistent disturbance and leads, consequently, to the max-min control synthesis problems. A computational characterization of the max-min controllable sets is derived for a general nonlinear case. The max-min time optimal control of constrained piecewise affine discrete time systems is also discussed. Corresponding computational details are outlined and some illustrative examples are provided.
引用
收藏
页码:333 / 338
页数:6
相关论文
共 50 条
  • [21] A Deterministic Algorithm for Min-max and Max-min Linear Fractional Programming Problems
    Qigao Feng
    Hongwei Jiao
    Hanping Mao
    Yongqiang Chen
    International Journal of Computational Intelligence Systems, 2011, 4 (2) : 134 - 141
  • [22] Approximation algorithms for min-max and max-min resource sharing problems, and applications
    Jansen, K
    EFFICIENT APPROXIMATION AND ONLINE ALGORITHMS: RECENT PROGRESS ON CLASSICAL COMBINATORIAL OPTIMIZATION PROBLEMS AND NEW APPLICATIONS, 2006, 3484 : 156 - 202
  • [23] Approximation algorithms for min-max and max-min resource sharing problems, and applications
    Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität zu Kiel, Olshausenstr. 40, 24098 Kiel, Germany
    Lect. Notes Comput. Sci., 2006, (156-202):
  • [24] A Deterministic Algorithm for Min-max and Max-min Linear Fractional Programming Problems
    Feng, Qigao
    Jiao, Hongwei
    Mao, Hanping
    Chen, Yongqiang
    INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, 2011, 4 (02): : 134 - 141
  • [25] Globally optimal solutions of max-min systems
    Tao, Yuegang
    Liu, Guo-Ping
    Chen, Wende
    JOURNAL OF GLOBAL OPTIMIZATION, 2007, 39 (03) : 347 - 363
  • [26] An Intelligence Model with Max-Min Strategy for Constrained Evolutionary Optimization
    Li, Xueqiang
    Hao, Zhifeng
    Huang, Han
    SWARM, EVOLUTIONARY, AND MEMETIC COMPUTING, 2010, 6466 : 262 - +
  • [27] Numerical solution of fuzzy max-min systems
    Abbasbandy, S
    Babolian, E
    Allame, M
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 174 (02) : 1321 - 1328
  • [28] Bond management and max-min optimal control
    Ghezzi, LL
    APPLIED MATHEMATICS AND COMPUTATION, 2000, 112 (01) : 33 - 40
  • [29] A note on systems with max-min and max-product constraints
    Elbassioni, Khaled A.
    FUZZY SETS AND SYSTEMS, 2008, 159 (17) : 2272 - 2277