Sliding mode controller design for linear stochastic systems with unknown parameters

被引：7
|
作者：
Basin, Michael [1 ]
Rodriguez-Ramirez, Pablo [1 ]
机构：
[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza, Nuevo Leon, Mexico
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 04期
关键词：
TIME-DELAY SYSTEMS;
D O I：
10.1016/j.jfranklin.2013.05.019
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper presents the sliding mode mean-square and mean-module controllers for linear stochastic systems with unknown parameters. In both cases, the controller equations are obtained using the separation principle, whose applicability to the considered problem is substantiated. Performance of the obtained controllers is verified in the illustrative example against the sliding mode mean-square and sliding mode controllers that are optimal for linear systems with known parameters. Simulation graphs demonstrating overall performance and computational accuracy of the designed optimal controller are included. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2243 / 2260
页数：18
相关论文
共 50 条
  • [1] Optimal LQG controller for linear stochastic systems with unknown parameters
    Basin, Michael
    Calderon-Alvarez, Dario
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2008, 345 (03): : 293 - 302
  • [2] Adaptive Synchronization for Two Different Stochastic Chaotic Systems with Unknown Parameters via a Sliding Mode Controller
    Wang, Zengyun
    Huang, Lihong
    Yang, Xuxin
    Lu, Dingyang
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [3] LINEAR DYNAMIC FEEDBACK CONTROLLER FOR STOCHASTIC-SYSTEMS WITH UNKNOWN PARAMETERS
    PADILLA, CS
    CRUZ, JB
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1977, 22 (01) : 50 - 55
  • [4] Optimal Controller for Stochastic Linear Systems with Poisson Noises and Unknown Parameters
    Basin, Michael
    Maldonado, Juan J.
    IECON 2011: 37TH ANNUAL CONFERENCE ON IEEE INDUSTRIAL ELECTRONICS SOCIETY, 2011,
  • [5] Sliding mode controller design for linear systems with unmeasured states
    Basin, Michael
    Rodriguez-Ramirez, Pablo
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (04): : 1337 - 1349
  • [6] Sliding Mode Controller Design for Stochastic Polynomial Systems With Unmeasured States
    Basin, Michael V.
    Rodriguez-Ramirez, Pablo Cesar
    IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2014, 61 (01) : 387 - 396
  • [7] Sliding mode controller-observer design for SISO linear systems
    Koshkouei, AJ
    Zinober, ASI
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1998, 29 (12) : 1363 - 1373
  • [8] Central Suboptimal H∞ Controller Design for Linear Systems with Unknown Parameters
    Basin, Michael
    Soto, Pedro
    Calderon-Alvarez, Dario
    2010 IEEE INTERNATIONAL SYMPOSIUM ON INTELLIGENT CONTROL, 2010, : 2462 - 2467
  • [9] Integral sliding mode controller design for stochastic time-delay systems
    Basin, Michael
    Rodriguez-Gonzalez, Jesus
    Fridman, Leonid
    Acosta, Pedro
    2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 1953 - 1958
  • [10] Optimal controller for linear systems with unknown parameters
    Basin, Michael
    Calderon-Alvarez, Dario
    PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2007, : 5083 - 5088
12345