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In this paper,the problem of adaptive control based on memoryless state observer is considered for uncertain nonlinear systems with multiple time delays. The upper bound of the time-delay state disturbance is unknown. And an adaptive law is proposed to estimate the unknown parameter of the disturbance,and the estimated value is used to design a memoryless state observer and controller,which are both independent of time-delay. Based on the Lyapunov-Krasovskii function,it is shown that the observation error can converge asymtotically to zero. Simulation results illustrate the applicability of this method.
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Keywords:
- multiple time delay /
- state observer /
- uncertain nonlinear /
- adaptive control
[1] Wu M,Zhang L B,He Y 2005 Control Theory and Applications 22 114 (in Chinese) [吴 敏、张凌波、何 勇 2005 控制理论与应用 22 114]
[2] Wu M,Zhang L B,Liu G P 2005 Control Theory and Applications 22 775 (in Chinese) [吴 敏、张凌波、刘国平 2005 控制理论与应用 22 775]
[3] Wen J,Wu M,Zhang L B 2004 Journal of Circuits and Systems 9 100 (in Chinese) [文 静、吴 敏、张凌波 2004 电路与系统学报 9 100]
[4] Wu H S 2009 Automatica 45 1979
[5] Luo Y P,Deng F Q,Li A P 2007 Acta Phys. Sin.56 637 (in Chinese) [罗毅平、邓飞其、李安平 2007 物理学报 56 637]
[6] Ma Y C,Huang L F,Zhang Q L 2007 Acta Phys. Sin. 56 3474 (in Chinese) [马跃超、黄丽芳、张庆灵 2007 物理学报 56 3474]
[7] Hua C C,Wang Q G,Guan X P 2008 IEEE Transactions on automatic control 53 801
[8] Hua C C,Li F L,Guan X P 2006 Information Sciences 176 201
[9] Wu H S 2009 IEEE Transactions on automatic Control 54 1407
[10] Wu H S 2004 IEEE Transactions on automatic Control 49 611
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[1] Wu M,Zhang L B,He Y 2005 Control Theory and Applications 22 114 (in Chinese) [吴 敏、张凌波、何 勇 2005 控制理论与应用 22 114]
[2] Wu M,Zhang L B,Liu G P 2005 Control Theory and Applications 22 775 (in Chinese) [吴 敏、张凌波、刘国平 2005 控制理论与应用 22 775]
[3] Wen J,Wu M,Zhang L B 2004 Journal of Circuits and Systems 9 100 (in Chinese) [文 静、吴 敏、张凌波 2004 电路与系统学报 9 100]
[4] Wu H S 2009 Automatica 45 1979
[5] Luo Y P,Deng F Q,Li A P 2007 Acta Phys. Sin.56 637 (in Chinese) [罗毅平、邓飞其、李安平 2007 物理学报 56 637]
[6] Ma Y C,Huang L F,Zhang Q L 2007 Acta Phys. Sin. 56 3474 (in Chinese) [马跃超、黄丽芳、张庆灵 2007 物理学报 56 3474]
[7] Hua C C,Wang Q G,Guan X P 2008 IEEE Transactions on automatic control 53 801
[8] Hua C C,Li F L,Guan X P 2006 Information Sciences 176 201
[9] Wu H S 2009 IEEE Transactions on automatic Control 54 1407
[10] Wu H S 2004 IEEE Transactions on automatic Control 49 611
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