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Journal of Projectiles, Rockets, Missiles and Guidance >

2014 , Vol. 34 >Issue 5: 37 - 40,50

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2014.05.010

MISSILES AND GUIDANCE TECHNOLOGY

Nonlinear H∞ Static Output Feedback Controller Design for Polynomial Systems: An Iterative Sum of Squares Approach

  • CAI Zongping ,
  • CAO Chuangfeng ,
  • MA Qingliang ,
  • DENG Huixuan
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  • The Second Artillery Engineering University, Xi'an 710025, China

Received date: 2013-09-09

  Online published: 2025-05-30

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Abstract

In view of design of a nonlinear H∞ static output feedback controller for polynomial systems, the derivation of the controller was given in terms of solvability conditions of state-dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the SOS decomposition was proposed to solve these state-dependent BMIs. Finally, numerical examples were provided to demonstrate the validity of the proposed design approach.

Key words： polynomial system; static output feedback; sum of squares; bilinear matrix inequalities

Cite this article

CAI Zongping , CAO Chuangfeng , MA Qingliang , DENG Huixuan . Nonlinear H∞ Static Output Feedback Controller Design for Polynomial Systems: An Iterative Sum of Squares Approach[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2014 , 34(5) : 37 -40,50 . DOI: 10.15892/j.cnki.djzdxb.2014.05.010

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