In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Using this we consider a special type of the non-...In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Besides, we demand that the displacement should be invariant under the pseudo-translation. From these, we obtain the new definition of the instantaneous velocity which is pseudo-translation symmetry in both time and position and formulate the mechanics which are pseudo-linear and pseudo-translation invariant.展开更多
In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is conside...In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.展开更多
建立了滑块机构下高旋弹的姿态方程,采用逆系统方法对非线性模型进行了解耦控制研究,得到了完整的状态方程,分析了基于逆系统理论解耦的可行性,推导出状态反馈后的a阶伪线性系统和内环控制算法,而后用极点配置原理设计了外环PID(Proport...建立了滑块机构下高旋弹的姿态方程,采用逆系统方法对非线性模型进行了解耦控制研究,得到了完整的状态方程,分析了基于逆系统理论解耦的可行性,推导出状态反馈后的a阶伪线性系统和内环控制算法,而后用极点配置原理设计了外环PID(Proportional Integral Derivative)控制律,形成了完整的闭环控制结构,最后的仿真表明:滑块机构和逆系统方法对高旋弹的姿态控制是有效的,且PID控制律的引入使得此方法更易于工程实现。展开更多
文摘In this paper, we will consider the simplest pseudo-addition where pseudo-multiplication and pseudo-division are the same as the ordinary ones and distributivity hold. Using this we consider a special type of the non-uniform discrete times with the pseudo-translation symmetry. Besides, we demand that the displacement should be invariant under the pseudo-translation. From these, we obtain the new definition of the instantaneous velocity which is pseudo-translation symmetry in both time and position and formulate the mechanics which are pseudo-linear and pseudo-translation invariant.
文摘In this paper the problem of practical stabilization for a significant class of MIMO uncertain pseudo-linear and pseudo-quadratic systems, with additional bounded nonlinearities and/or bounded disturbances, is considered. By using the concept of majorant system, via Lyapunov approach, new fundamental theorems, from which derive explicit formulas to design state feedback control laws, with a possible imperfect compensation of nonlinearities and disturbances, are stated. These results guarantee a specified convergence velocity of the linearized system of the majorant system and a desired steady-state output for generic uncertainties and/or generic bounded nonlinearities and/or bounded disturbances.
文摘建立了滑块机构下高旋弹的姿态方程,采用逆系统方法对非线性模型进行了解耦控制研究,得到了完整的状态方程,分析了基于逆系统理论解耦的可行性,推导出状态反馈后的a阶伪线性系统和内环控制算法,而后用极点配置原理设计了外环PID(Proportional Integral Derivative)控制律,形成了完整的闭环控制结构,最后的仿真表明:滑块机构和逆系统方法对高旋弹的姿态控制是有效的,且PID控制律的引入使得此方法更易于工程实现。
