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基于Volterra级数模型的非线性系统自适应控制稳定性研究
Study on the Stability of the Volterra Series Model Based Adaptive Control Systems
【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
【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.
【关键词】 自适应控制;
非线性系统控制;
Volterra级数模型;
【Key words】 adaptive control; nonlinear system control; Volterra series model;
【Key words】 adaptive control; nonlinear system control; Volterra series model;
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2002年01期
- 【分类号】TP273.22
- 【被引频次】24
- 【下载频次】265