吉林大学学报(工学版) ›› 2013, Vol. 43 ›› Issue (05): 1375-1380.doi: 10.7964/jdxbgxb201305036

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Robust static output feedback control using PSO-DE algorithm and LMI

KONG Ying-xiu1,2, ZHAO Ding-xuan1, YANG Bin1, LI Tian-yu1, HAN Jing-yuan3   

  1. 1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
    2. Department of Electronics and Automation, Kim Il Sung University, Pyongyang 999093, DPRK;
    3. College of Communication Engineering, Jilin University, Changchun 130022, China
  • Received:2012-06-26 Online:2013-09-01 Published:2013-09-01

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Abstract:

Under the multi-objective control framework, this paper presents a hybrid algorithm to solve the problem of robust static output feedback control for continuous polytopic uncertain system. To obtain the static output feedback gain, the new hybrid algorithm combines the Particle Swarm Optimization (PSO) and Differential Evolution (DE), and the Linear Matrix Inequality (LMI) method. The proposed algorithm can be applied to solve the optimization problem with Bilinear Matrix Inequality (BMI) constraints. The PSO-DE hybrid algorithm is used to obtain a population of controllers, and LMI approach is used to optimize the performance criterion of the system. Taking a hybrid H2/H∞ control problem as example, the detailed algorithm is presented to solve the problem of robust static output feedback control. Simulation results show that the proposed hybrid algorithm improves the convergence rate and accuracy compared with traditional iterative methods and the original DE-LMI algorithm.

Key words: automatic control technology, static output feedback, particle swarm optimization algorithm, differential evolution algorithm, linear matrix inequality

CLC Number: 

  • TP273

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