共查询到20条相似文献,搜索用时 625 毫秒
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姬兴民 《纯粹数学与应用数学》2008,24(3)
研究了仿射非线性控制系统的梯度扩张系统.利用非线性控制系统的微分几何理论,通过计算梯度扩张系统的输出函数沿着输入向量场和系统向量场的李导数,讨论仿射非线性控制系统的梯度扩张系统的能达性分布,研究了非线性控制系统和它的梯度扩张系统的能达性之间的关系,证明了如果梯度扩张系统是能达的,则原非线性控制系统也是能达的. 相似文献
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一类具独立子系统的退化时滞控制系统的能控性 总被引:3,自引:0,他引:3
讨论退化时滞微分控制系统的能控性问题.首先将退化时滞微分控制系统化为标准形式,除去关联项,得到具独立子系统的退化时滞微分控制系统.然后就一般的退化时滞微分控制系统,得到其能控的充要条件为其可达集等于全空间.对于具独立子系统的广义时滞控制系统,给出其能控的充要条件为每个子系统的可达集等于其相应的子空间,并给出其能控的代数判据,最后举例说明主要结果的应用. 相似文献
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本文讨论非线性退化时滞微分控制系统.首先就非线性退化时滞微分控制系统的一阶变分系统给出变易公式,然后就非线性退化时滞微分控制系统的一阶变分系统的函数能控性给出一些判据,最后给出关于非线性退化时滞微分控制系统的函数能控性的判据. 相似文献
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范振成 《数学的实践与认识》2023,(2):265-269
研究非线性控制系统及其θ方法的压缩性,获得了非线性控制系统压缩性以及θ方法保持其压缩性的充分条件.理论结果表明控制系统的隐式Euler方法比其显式Euler方法的压缩性好.数值结果验证了理论分析结果. 相似文献
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二阶直接控制系统的绝对稳定性,目前尚未见到充分必要条件。本文给出了二阶直接控制系统的绝对稳定性的充分必要条件,并且解决了各种临界情况的绝对稳定性,从而完全解决了二阶直接控制系统的绝对稳定性问题。研究二阶直接控制系统 相似文献
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Лурье控制系统绝对稳定的新判据 总被引:1,自引:0,他引:1
金淦 《数学的实践与认识》1999,29(4):14-20
本文导出了Лурье控制系统零解绝对稳定的新的必要条件,给出几类控制系统零解绝对稳定的新判据. 相似文献
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研究了变时滞退化Lurie控制系统的绝对稳定性问题.基于Lyapunov稳定性理论,利用线性矩阵不等式方法给出了系统绝对稳定的判别准则.讨论了变时滞退化Lurie直接控制系统和间接控制系统的绝对稳定性,得到绝对稳定性的充分条件仅依赖于时滞导数的大小,且时滞可以是无界函数:最后给出了实例说明本文结果的有效性. 相似文献
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本文将两尺度稳定性理论引入了广义控制系统,并用类Liapunov函数给出稳定和渐近稳定的充要条件。这些准则推广了关于广义控制系统和两尺度稳定性的已有结果,使我们能在一个统一的框架内研究广义控制系统稳定性。 相似文献
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Chun Yin Shou-ming Zhong Wu-fan Chen 《Communications in Nonlinear Science & Numerical Simulation》2012,17(1):356-366
In this paper, a sliding mode control law is designed to control chaos in a class of fractional-order chaotic systems. A class of unknown fractional-order systems is introduced. Based on the sliding mode control method, the states of the fractional-order system have been stabled, even if the system with uncertainty is in the presence of external disturbance. In addition, chaos control is implemented in the fractional-order Chen system, the fractional-order Lorenz system, and the same to the fractional-order financial system by utilizing this method. Effectiveness of the proposed control scheme is illustrated through numerical simulations. 相似文献
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Yanfang Liu Naiming Qi Zhiwei Tang 《Journal of Optimization Theory and Applications》2013,156(2):345-364
A new guidance law is proposed for interceptor missiles by using a differential game formulation with bounded controls. The interceptor is steered by the aerodynamic-lift control system and the divert-thrusters control system. By using game space decomposition, the parameter effects of divert-thrusters control system on homing performance are investigated. Under propellant limits and given the time constant of the divert-thrusters control system, the hit-to-kill performance requires the following conditions. Firstly, the maximum acceleration generated by the divert-thrusters control system is greater than a critical value. Secondly, the thrusters close after interception terminates. Thirdly, the operation time of the divert-thrusters control system is sufficient long to cancel the miss distance. These results are also demonstrated by a realistic ballistic missile-defense simulation program. 相似文献
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《Communications in Nonlinear Science & Numerical Simulation》2008,13(9):1896-1909
The paper presents control system design based on a non-linear model reference adaptive control law (MRAC) used for the vibration suppression of a smart piezoelectric mechanical structure. Numerical simulation of the proposed control system is performed based on the finite element (FE) model of the structure, modally reduced in order to meet the requirements of the control system design. First the MRAC problem is defined and a direct control algorithm described in the paper is suggested as a solution to the control problem. The basic MRAC algorithm is modified by augmenting the integral term of the control law in order to provide the robustness of the control system with respect to the stability. This approach provides preserving the boundness of the system states and adaptive gains, with small trackings error over large ranges of non-ideal conditions and uncertainties. The efficiency of the suggested control for the vibration suppression is tested and shown through a numerical simulation of the funnel-shaped piezoelectric structure. 相似文献
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In this contribution, the concept of a general design platform for control system of wind turbines is proposed. Different models of wind turbine systems are summarized, a novel control strategy for wind turbine control is proposed as a general platform for control system design. Simulation results are presented demonstrating the success of the proposed control method based on one of the chosen models for the design platform. A benchmark model (NREL) is chosen for the platform in order to adjust the control system design. Finally, the design process of control system based on the general platform is given and explained. (© 2011 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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In this paper, the problem of characterizing adaptive output feedback control laws for a general class of unknown MIMO linear systems is considered. Specifically, the presented control approach relies on three components, i.e., a predictor, a reference model and a controller. The predictor is designed to predict the system’s output with arbitrary accuracy, for any admissible control input. Subsequently, a full state feedback control law is designed to control the predictor output to approach the reference system, while the reference system tracks the desired trajectory. Ultimately, the control objective of driving the actual system output to track the desired trajectories is achieved by showing that the system output, the predictor output and the reference system trajectories all converge to each other. 相似文献
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《Applied mathematics and computation》1987,22(1):65-87
We consider a linear dynamical system in which the system and input matrices, as well as the input, are uncertain. We present a control system consisting of a linear control to stabilize the nominal system, a nonlinear control to cope with the uncertainties, and an insensitive observer for the state estimation. Practical stability is guaranteed for uncertainties with known bounds. Furthermore, the control system is designed to achieve insensitivity against parameter variations. The theoretical results are illustrated by an application to the suspension control of a maglev vehicle. 相似文献
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Power system transient stability is one of the most challenging technical areas in electric power industry. Thyristor-controlled series compensation (TCSC) is expected to improve transient stability and damp power oscillations. TCSC control in power system transients is a nonlinear control problem. This paper presents a T–S-model-based fuzzy control scheme and a systematic design method for the TCSC fuzzy controller. The nonlinear power system containing TCSC is modelled as a fuzzy “blending” of a set of locally linearized models. A linear optimal control is designed for each local linear model. Different control requirements at different stages during power system transients can be considered in deriving the linear control rules. The resulting fuzzy controller is then a fuzzy “blending” of these linear controllers. Quadratic stability of the overall nonlinear controlled system can be checked and ensured using H∞ control theory. Digital simulation with NETOMAC software has verified that the fuzzy control scheme can improve power system transient stability and damp power swings very quickly. 相似文献
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Jianyuan Xu Xudong Pan Yuefeng Li Guanglin Wang R. Martínez 《Journal of Difference Equations and Applications》2019,25(9-10):1255-1269
ABSTRACTThe single input single output (SISO) system with known strong interference is widely used in various occasions. Due to its strong interference, the control accuracy is hard to guarantee. To solve this problem, an improved generalized predictive control (IGPC) algorithm is developed. The IGPC firstly builds the difference equation CARIMA (Controlled Auto-Regressive Integrated Moving-Average) model of the SISO system and then treats the system as a two input single output (TISO) system and calculates its predictive vector, then transforms it into a SISO system and uses the TISO system predictive vector to calculate the SISO system control increment. A new parameter called phase coefficient is added to inhibit the control lag. Simulations are performed to make the comparison among the traditional GPC, PID control, velocity synchronization control (VSC), fuzzy adaptive PID control (FAPID), model-based robust PID control (BPID) and the IGPC. Results show that IGPC has best performance compared to the others. Finally, experiments are developed which proved that the IGPC algorithm has a higher accuracy in the SISO system with known strong interference than that of VSC. 相似文献