| 基于Volterra级数模型的非线性系统自适应控制稳定性研究 |
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| 引用本文： | 党映农,韩崇昭.基于Volterra级数模型的非线性系统自适应控制稳定性研究[J].控制理论与应用,2002,19(1):80-84. |
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| 作者姓名： | 党映农 韩崇昭 |
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| 作者单位： | 西安交通大学电子与信息工程学院,西安,710049 |
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| 摘 要： | 研究一类单输入单输出非线性系统的自适应控制问题, 这类系统能用有限阶离散Volterra级数模型表示. 采用递推最小二乘算法进行参数估计, 并通过解高次方程得到控制律. 结合反馈型Volterra级数系统的局部L稳定理论, 证明了算法的局部收敛性质. 通过对一个化工连续搅拌反应器 (CSTR)的过程控制进一步验证了该算法的有效性.
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| 关 键 词： | 自适应控制 非线性系统控制 Volterra级数模型 |
| 文章编号： | 1000-8152(2002)01-0080-05 |
| 收稿时间： | 1999/9/28 0:00:00 |
| 修稿时间： | 1999年9月28日 |
Study on the Stability of the Volterra Series Model Based Adaptive Control Systems |
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| DANG Yingnong and HAN Chongzhao.Study on the Stability of the Volterra Series Model Based Adaptive Control Systems[J].Control Theory & Applications,2002,19(1):80-84. |
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| Authors: | DANG Yingnong and HAN Chongzhao |
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| Affiliation: | School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an, 710049,P.R.China;School of Electronics and Information Engineering, Xi'an Jiaotong University, Xi'an, 710049,P.R.China |
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| Abstract: | The adaptive control problem of a class of SISO nonlinear control systems is studied, which can be modeled by a finite discrete Volterra series model. Firstly, the parameters are estimated by using the recursive least_square method, then the control law is presented by solving a polynomial equation. The local convergent property of the proposed algorithm is proved by the local stability theory of feedback Volterra systems. Simulation results corroborate the proposed algorithm. |
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| Keywords: | adaptive control nonlinear system control Volterra series model |
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