Systematization of Control Theory and Design Methods of Time-Delay Systems

系统在输入和/或输出中延迟的有限光谱分配方法。对命名值和实际参数之间不匹配的控制系统的鲁棒性进行了量化测试，这表明集成器的位置和观察器的结构和国家预测器的结构改变了鲁棒稳定性即使是封闭的环路系统的多条政策也是相等的。返回的系统的有限光谱分配方法与状态变量中的延迟也是存在的。反馈系统的特征性原则是由形式赋予的。* sI-A（z）-b（z）f（z） * =s^n+ alpha_1（z）S^<n-1>+·+alpha_n（z）-f（z）M（z）v（s），其中z拒绝延迟运算符。对于arbitrary实数beta_1，...，beta_n， let f（z）=[beta_n-alpha_n（z），...，beta_1-alpha_1（z）]M（z）^<-1>，然后特征多态性成为 * sI-A（z）-b（z）f（z） * =s^n+beta_1s^<n-1>+·+beta_n。为了实现控制，将f（z）转换为矩阵f（z，s）的算法与z和f中的矩阵f（z，s） ... More Inite Laplace Transforms以M（z）结构的基础为基础。更进一步，将F（z）转换为F（z，s）的方法是使用Smith形式提出的。在设计方法中，将聚合矩阵转换为z到有限的拉普拉斯转换矩阵，需要计算，无论何时beta_i都更改。To avoid the computation， a method to find K（z，s） satisfying K（z，s）M（z）v（s）=v（s） was presented in the basis of the equation M（z）v（s）=P（s）v（z） and the structure of M（z）。反馈矩阵由f（z，s）=[beta_n-alpha_n（z），...，beta_1-alpha_1（z）]k（z，s）提供了有限的光谱分配，其中包含一类非评论性延迟。具有非公认延迟的系统的稳定性也提出了基于有限光谱分配的问题;提出了一个关于神经系统有限光谱分配问题的解决方案。在第一步中，中立系统已经改变到了准确的反馈系统，以便使用反馈来容纳延迟的反馈。在第二步中，已申报系统的有限光谱分配方法已应用于quasi-retared系统;已应用于稳定重复控制系统;已提出的系统的稳健自适应控制与名义延迟之间的不匹配和一个行动被提出。Less（低）

Finite spectrum assignment method for systems with delays in inputs and/or outputs was presented. Robustness of the control systems with mismatch between nominal values and actual parameters was numerically examined and it was shown that the position of integrator and the structure of observer and the state predictor change the robust stability even though poles of the closed-loop system are equal.Finite spectrum assignment methods for retarded systems with delays in state variables was presented. The characteristic polynomial of the feedback system is given by the form. * sI-A(z)-b(z)f(z) * =s^n+alpha_1(z)S^<n-1>+・・+alpha_n(z)-f(z)M(z)v(s), where z denotes the delay operator. For arbitrary real numbers beta_1, ・・, beta_n, let f(z)=[beta_n-alpha_n(z), ・・, beta_1-alpha_1(z)]M(z)^<-1>, then the characteristic polynomial becomes * sI-A(z)-b(z)f(z) * =s^n+beta_1s^<n-1>+・・+beta_n. To implement the control, an algorithm to transform f(z) into the matrix f(z,s) with polynomials in z and the f … More inite Laplace transforms was presented on the basis of the structure of M(z). Furthermore, a method to transform F(z) into F(z,s) for multi-input case was proposed by using the Smith form.In the design method by transformation the polynomial matrix in z to finite Laplace transform matrix, the calculation is required whenever beta_i are changed. To avoid the computation, a method to find K(z,s) satisfying K(z,s)M(z)v(s)=v(s) was presented in the basis of the equation M(z)v(s)=P(s)v(z) and the structure of M(z). The feedback matrix is given by f(z,s)=[beta_n-alpha_n(z), ・・, beta_1-alpha_1(z)]k(z,s).Finite spectrum assignment of systems with a class of non-commensurate delays was presented. Stabilization of systems with non-commensurate delays was also proposed on the basis of finite spectrum assignment.A solution to finite spectrum assignment problem of neutral systems was presented. In the first step, the neutral system is changed to the quasi-retarded system by using the feedback containing the delayed derivative feedback. In the second step, the finite spectrum assignment method of retarded systems is applied to the quasi-retarded ones.Finite spectrum assignment method was applied to stabilization of the repetitive control systems.Robust adaptive control for systems with mismatch between nominal delay and actual one was presented. Less