Sliding Mode Regulator as Solution to Optimal Control Problem for Nonlinear Polynomial Systems

被引：2

作者：

Basin, Michael ^{[1
]}

Calderon-Alvarez, Dario ^{[1
]}

机构：

[1] Autonomous Univ Nuevo Leon, Dept Phys & Math Sci, San Nicolas De Los Garza, Nuevo Leon, Mexico

来源：

2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9 | 2009年

关键词：

TIME-DELAY SYSTEMS; STOCHASTIC-SYSTEMS; DESIGN;

D O I：

10.1109/ACC.2009.5160205

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 optimal control problem for a nonlinear polynomial system with respect to a Bolza-Meyer criterion with a non-quadratic non-integral term. The optimal solution is obtained as a sliding mode control, whereas the conventional polynomial-quadratic regulator does not lead to a causal solution and, therefore, fails. Performance of the obtained optimal controller is verified in the illustrative example against the conventional polynomial-quadratic regulator that is optimal for the quadratic Bolza-Meyer criterion. The simulation results confirm an advantage in favor of the designed sliding mode control.

引用

页码：83 / 88

页数：6

共 21 条

[1]

[Anonymous], INT J ROBUST NONLINE

[2]

[Anonymous], 1999, Sliding mode control in electromechanical systems

[3] Sliding-mode adaptive observer approach to chaotic synchronization [J].