共查询到17条相似文献,搜索用时 125 毫秒
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为达到倒立摆的稳定控制,在建立倒立摆状态反馈系统数学模型的基础上,应用状态反馈控制配置系统极点设计倒立摆系统的控制器,从而实现其状态反馈。基于此,利用MATLAB软件对倒立摆的运动进行计算机仿真,仿真结果表明,所设计的方法可使系统稳定工作并具有良好的动静态性能。 相似文献
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针对二级倒立摆系统的快速响应及其稳定和鲁棒控制问题,以直线二级倒立摆为研究对象,在建立其非线性数学模型的基础上,利用极点配置方法设计了滑模变结构控制器。将所设计的控制器应用到二级倒立摆系统,实验仿真表明,该控制策略实现了对二级倒立摆系统的实时跟踪控制,系统具有较好稳定控制和较强抗干扰能力。 相似文献
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倒立摆是理想的自动控制试验对象,应用模糊控制方法,研究了三级倒立摆系统的稳定控制问题。通过对系统的线性化模型设计LQR最优控制反馈权阵,并基于最优线性控制的反馈参数选择模糊控制参数。仿真结果表明该方法可实现三级倒立摆系统的稳定控制,具有参数选择简单、动态性能较好等特点。 相似文献
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针对一阶直线倒立摆欠驱动系统,研究了在考虑外界干扰和模型不确定的情况下,一类欠驱动机械系统基于参考模型的鲁棒控制问题。其中利用时滞滤波器来对外界干扰和模型不确定性进行了估计,并利用状态反馈得出了系统的参考模型,最后通过仿真证明了该方法的可行性。 相似文献
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倒立摆系统本身是一个非线性控制系统,具有多变量、高阶次、强耦合以及严重不稳定的特点。主要任务是设计一个基于PID算法的旋转倒立摆控制系统,利用单片机运用PID算法对系统进行控制,能够使旋转倒立摆的摆杆快速达到倒立平衡状态并具有一定的抗干扰能力。 相似文献
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倒立摆系统是典型的非线性、多变量、强耦合的系统,广泛应用于对各种控制理论和控制策略的有效性的检验。文中仅使用固高公司提供的伺服电机驱动器和倒立摆本体,另行设计了ARM控制器、信号连接电路,编写了运动控制函数库,搭建了一套基于ARM控制器和Linux系统的倒立摆控制系统,并在该实验平台使用PID,极点配置,LQR等算法完成仿真实验,并运用LQR对实际系统进行控制,实现了良好的控制效果。 相似文献
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Gisela Pujol-Vazquez Leonardo Acho Saleh Mobayen Amelia Nápoles Vega Pérez 《Journal of The Franklin Institute》2018,355(10):4077-4096
The main objective of this paper is to drive a rotary inverted pendulum by following a desired navigation instruction. This navigation is commanded by the user through a new electromagnetic device which is allowed to perturb the pendulum from its upright position. This apparatus consists of an electronic magnetic driving circuit to introduce commands and realized via two operated magnetic coils. So, the external programmed magnetic perturbation can be seen as external commandments. Therefore, the control problem statement is solved via a modified regulation control implementation, to maintain the pendulum on its upright position and giving free manipulation of the base of the rotary inverted pendulum. Hence, by using the corresponding H∞-linear matrix inequality technique, a static state controller is designed and tested experimentally so supporting our findings. 相似文献
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《Journal of The Franklin Institute》2022,359(2):762-785
A novel nonlinear time-varying model termed as the fuzzy parameter varying (FPV) system is proposed in this research, which inherits both advantages of the conventional T-S fuzzy system in dealing with nonlinear plants and strengths of the linear parameter varying (LPV) system in handling time-varying features. It is, therefore, an attractive mathematical model to efficiently approximate a nonlinear time-varying plant or to serve as a type of time-varying controller. Using the full block S-procedure, sufficient stability conditions have been derived in the form of linear matrix inequalities (LMIs) to test quadratic stability of the open-loop FPV system. Moreover, sufficient conditions have been derived on synthesizing both state feedback and dynamical output feedback fuzzy gain-scheduling controllers that can stabilize the FPV system. An inverted pendulum with a variable length pole is utilized to demonstrate advantages of the FPV system compared to the conventional T-S fuzzy system in representing a practical time-varying nonlinear plant and to validate the controller synthesis conditions. 相似文献
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In this paper, a sliding mode controller (SMC) is proposed for control of a wheeled inverted pendulum (WIP) system, which consists of a pendulum and two wheels in parallel. The control objective is to use only one actuator to perform setpoint control of the wheels while balance the pendulum around the upright position, which is an unstable equilibrium. When designing the SMC for the WIP system, various uncertainties are taken into consideration, including matched uncertainties such as the joint friction, and unmatched uncertainties such as the ground friction, payload variation, or road slope. The SMC proposed is capable of handling system uncertainties and applicable to general underactuated systems with or without input coupling. For switching surface design, the selection of the switching surface coefficients is in general a sophisticated design issue because those coefficients are nonaffine in the sliding manifold. In this work, the switching surface design is transformed into a linear controller design, which is simple and systematic. By virtue of the systematic design, various linear control techniques, such as linear quadratic regulator (LQR) or linear matrix inequality (LMI), can be incorporated in the switching surface design to achieve optimality or robustness for the sliding manifold. To further improve the WIP responses, the design of reference signals is addressed. The reference position for the pendulum is adjusted according to the actual equilibrium of the pendulum, which depends on the size of the friction and slope angle of the traveling surface. A smooth reference trajectory for the setpoint of the wheel is applied to avoid abrupt jumps in the system responses, meanwhile the reaching time of the switching surface can be reduced. The effectiveness of the SMC is validated using intensive simulations and experiment testings. 相似文献
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This paper focuses on the problem of asynchronous non-fragile dissipativity control for a class of switched singularly perturbed systems (SPSs) governed by the persistent dwell-time (PDT) switching mechanism in the discrete-time context. Unlike some previous results, the modes of system and controller in this paper are assumed to be asynchronized, which conforms better with the practical scenarios. Besides, considering the case that the controllers may be affected by uncertain factors and can not be realized accurately during system operation, the non-fragile mechanism is introduced in the process of controller design to enhance the reliability and security of the SPSs. Based on Lyapunov stability theory and stochastic analysis theory, some sufficient conditions are obtained, which can ensure the exponentially mean-square stable (EMSS) and strict dissipative performance of the closed-loop system. Furthermore, the asynchronous non-fragile slow state variables feedback (SSVF) controller gains are obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example and an inverted pendulum model are applied to demonstrate the superiority and the practicability of the developed control mechanism. 相似文献
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Ignacy Duleba Wissem Khefifi Iwona Karcz-Duleba 《Journal of The Franklin Institute》2012,349(1):201-215
In this paper a layer, Lie algebraic method of motion planning for nonholonomic systems is presented. It plans locally a motion towards a goal by searching for optimal directions in equi-cost spaces. The spaces are easy to determine via exploiting Lie algebraic properties of vector fields that define the controlled system. The method was illustrated on the unicycle robot and the inverted pendulum. 相似文献