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基于Volterra级数的离散MIMO非线性闭环系统的稳定性
Stability of Discrete MIMO Nonlinear Closed-Loop System Based on Volterra Series
【摘要】 基于非线性传递函数矩阵的Volterra级数表示 ,利用多维Z变换 ,讨论了一类MIMO离散非线性系统的闭环稳定性 ,给出了直接利用开环稳定性来判别系统闭环稳定性的新方法 ,并用实例仿真来验证其有效性 .
【Abstract】 Based on the Volterra series representation of nonlinear transfer function matrix, the stability of closed loop control systems for a class of MIMO discrete nonlinear control systems is discussed, and the new method for judging FDBIBO (BIBO stability in frequency domain) stability for the closed loop control system by using its open loop subsystem stability is proposed in this paper, and its validity is demonstrated by a simulation example.
【关键词】 非线性传递函数矩阵;
MIMO离散非线性控制系统;
FDBIBO稳定性;
【Key words】 nonlinear transfer function matrix; MIMO discrete nonlinear control system; FDBIBO stability;
【Key words】 nonlinear transfer function matrix; MIMO discrete nonlinear control system; FDBIBO stability;
【基金】 国家自然科学基金 (696740 0 9)资助项目
- 【文献出处】 控制理论与应用 ,Control Theory & Applications , 编辑部邮箱 ,2001年05期
- 【分类号】TP13
- 【被引频次】2
- 【下载频次】132