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

[1] Arzelier D, Peaucelle D. An iterative method for mixed H2/H∞ synthesis via static output-feedback[C]//Proceedings of 41st IEEE Conference on Decision and Control. Las Vegas, Nevada, USA: IEEE, 2002.

[2] Huang D, Nguang S K. Static output feedback controller design for fuzzy systems: An ILMI approach[J]. Information Sciences, 2007,177: 3005-3015.

[3] 刘树博. 基于新型优化算法的主动悬架鲁棒输出反馈控制研究[D]. 长春: 吉林大学机械学院,2010. Liu Shu-bo. Study on robust output feedback control of active suspension based on noval optimization algorithm[D]. Changchun: College of Mechanical Engineering, Jilin University, 2010.

[4] Kennedy J, Eberhart R C. Particle swarm optimization[C]//Proceeding of the IEEE Service Center, 1995.

[5] Clerc M, Kennedy J. The particle swarm-explosion, stability and convergence in a multidimensional complex space[J]. IEEE Transactions on Evolutionary Computation, 2002, 6(1):58-73.

[6] Rana S, Jasola S. A review on particle swarm optimization algorithms and their applications to data clustering[J]. Artificial Intelligence Review, 2011, 35(3): 211-222.

[7] Zhang C, Ning J, Lu S, et al. A novel hybrid differential evolution and particle swarm optimization algorithm for unconstrained optimization[J]. Operations Research Letters, 2009, 37(2): 117-122.

[8] 刘顺安,胡庆玉.PSO-BP网络算法在汽车悬架优化中的应用[J].吉林大学学报:工学版,2009,39(3):571-575. Liu Shun-an, Hu Qing-yu. Application of PSO-BP network algorithm in optimization of automotive suspension[J]. Journal of Jilin University(Engineering and Technology Edition),2009,39(3):571-575.

[9] Boyd S, Ghaoui LE, Feron E,et al. Linear Matrix Inequalities in System and Control Theory[M]. Philadelphia: SIAM, 1994.

[10] Geromel J C, Peres P L D, Souza S R. Convex analysis of output feedback control problems: robust stability and performance[J]. IEEE Transaction on Automatic Control, 1996, 41(7): 997-1003.
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