Non-intrusive hybrid interval method for uncertain nonlinear systems using derivative information

This paper proposes a new non-intrusive hybrid interval method using derivative information for the dynamic response analysis of nonlinear systems with uncertain-butbounded parameters and/or initial conditions. This method provides tighter solution ranges compared to the existing polynomial approximation interval methods. Interval arithmetic using the Chebyshev basis and interval arithmetic using the general form modified affine basis for polynomials are developed to obtain tighter bounds for interval computation.To further reduce the overestimation caused by the "wrapping effect" of interval arithmetic, the derivative information of dynamic responses is used to achieve exact solutions when the dynamic responses are monotonic with respect to all the uncertain variables. Finally, two typical numerical examples with nonlinearity are applied to demonstrate the effectiveness of the proposed hybrid interval method, in particular, its ability to effectively control the overestimation for specific timepoints.

Active disturbance rejection control： between the formulation in time and the understanding in frequency

与活跃骚乱拒绝控制(ADRC ) 的快速的推广作为在背景的一种真正的工业技术，这份报纸用练习与设计的频率反应语言在线性 ADRC 和提议解释的分析总结一些最近的结果是熟悉的。对这个努力批评是带宽的概念，它在更一般的意义被使用了。是这个概念能用作在 ADRC 和命令设计考虑的不那样不透明的州的空间明确的表达之间的连接。简单线性 ADRC 的显著特征首先在频率领域被显示出，及时由相应分析列在后面领域，在在追踪的错误之间的关系和 ADRC 带宽被建立的地方。如此的卓见由使用解决线性微分方程的方法仅仅是可能的，这被显示出，而不是象 Lyapunov 方法那样的更传统的技术，它趋于更保守、困难由工程师掌握。从如此的分析获得的卓见进一步在模拟确认被表明。

Tuning of Sampled-Data ADRC for Nonlinear Uncertain Systems

This paper concerns with the parameters tuning of active disturbance rejection control(ADRC) for a class of nonlinear systems with sampling rate not fast enough. The theoretical results show the quantitative relationship between the sampling rate, the parameters of ADRC, the size of uncertainties in system and the properties of the closed-loop system. Furthermore, the capability of the sampled-data ADRC under given sampling rate is quantitatively discussed.

On ADRC for non-minimum phase systems： canonical form selection and stability conditions

活跃骚乱拒绝控制(ADRC ) 由韩静清教授求婚了首先把植物动力学归结为它的正规形式，通常在串联综合者，标准控制器能为被采用遇见设计说明形式。这份报纸为非最小的阶段系统与正规形式的选择担心。特别地，由采用众所周知的可控制的正规形式，如此的系统的无常能在输出隧道在州的空格模型，在控制隧道的模型和其它被划分成二项条款，这被显示出。必要、足够的条件与建议正规形式和 ADRC 为靠近环的系统的稳定性被获得。另外，由显示出扩大系统的 detectability 以及系统的某些信息的必要性零，我们在场为非最小的阶段的设计 ADRC 的基本指南不明确的系统。