基于DSP和ML4428无刷直流螺电机锁相稳速控制的研究

提出了一种新的基于数字信号处理器（DSP）TMS320LF2407A和专用驱动芯片ML4428的陀螺用无位置传感器无刷永磁直流电机（BLDCM）稳速控制系统。它采用芯片ML4428实现无刷直流电机速度控制系统中的反电势检测、换相和功率驱动，并使用数字信号处理器TMS320LF2407A作为控制处理器，实现了电机的起停控制、转速给定，转速检测。它还采用了锁相环技术和积分分离的PID控制算法，大大提高了系统的控制性能和可靠性。     

Constrained receding horizon controls for nonlinear time-delay systems

This paper proposes a constrained receding horizon control (RHC) for a nonlinear time-delay system with input and state delays. The control law is obtained by minimizing a receding horizon cost function with weighting functions of inputs and states on the end portion of the horizon. For stability, a general condition on the weighting functions is presented and its feasibility is illustrated via a certain type of nonlinear time-delay systems. In order to deal with input and state constraints, an invariant set is obtained, where the trajectories of the inputs and the states satisfy given constraints and stay forever under some conditions. It is shown in a numerical example that the proposed RHC guarantees the closed-loop stability for nonlinear time-delay systems while meeting the constraints.     

Tracking control of uncertain switched nonlinear cascade systems: a nonlinear H ∞ sliding mode control method

This paper considers the tracking control problem for a class of uncertain switched nonlinear cascade systems via the multiple Lyapunov functions (MLFs) method. Each subsystem under consideration is composed of two cascade-connected parts: the null space dynamics part and the range space dynamics part. The two main robust control strategies, nonlinear H _∞ control (NHC) and the sliding mode control (SMC), are integrated to function in a complementary manner for tracking control tasks. Furthermore, sufficient conditions for the solvability of the tracking control problem of the switched system and design of both switching laws and controllers are presented. Finally, a simulation example is provided to demonstrate the feasibility of the developed method.     

扁球面网壳的混沌运动研究

在圆形三向网架非线性动力学基本方程的基础上,用拟壳法给出了圆底扁球面三向网壳的非线性动力学基本方程．在固定边界条件下,引入了异于等厚度壳的无量纲量,对基本方程和边界条件进行无量纲化,通过Galerkin作用得到了一个含二次、三次的非线性动力学方程．为求Melnikov函数,对一类非线性动力系统的自由振动方程进行了求解,得到了此类问题的准确解．在无激励情况下,讨论了稳定性问题．在外激励情况下,通过求Melnikov函数,给出了可能发生混沌运动的条件．通过数字仿真绘出了平面相图,证实了混沌运动的存在．     

Truncated predictor stabilization control for interconnected nonlinear systems with time-varying input delay

This paper deals with control design for interconnected nonlinear systems with time-varying input delay. Based on the truncated prediction of the system state over the delay period, the state feedback control law is constructed. In the framework of the Lyapunov–Krasovskii function, the stability equations of closed-loop system under state feedback law are established, and the feasibility of the controller is transformed into the problem of establishing a set of linear matrix inequality (LMI) conditions. Based on the Lyapunov stability theorem, it is proved that the closed-loop system is asymptotically stable. Finally, a simulation example is provided to demonstrate the effectiveness of the control scheme.

     

To obtain approximate probability density functions for a class of axially moving viscoelastic plates under external and parametric white noise excitation

The probability density function plays an essential role to investigate the behaviors of stochastic linear or nonlinear systems. This function can be evaluated by several approaches but due to its analytical theme, the Fokker–Planck–Kolmlgorov (FPK) approach is preferable. FPK equation is a nonlinear PDE gives the probability density function for a stochastic linear or nonlinear system. Many researches have been done in literature tried to specify the conditions, in which the FPK equation gives an exact solution. Although, the exact probability density function can be achieved by solving the FPK equation even for some nonlinear systems, many types of systems cannot satisfy the conditions for exact solution. In this article, the axially moving viscoelastic plates under both external and parametric white noise excitation as one of the newest and applicable research areas are studied. Due to strong nonlinearities recognized in the governing equation of the system, the exact probability density function cannot be obtained, however, via an approximate method; some precise approximate solutions for different but comprehensive case studies are evaluated, validated, and discussed.     

BLS-based formation control for nonlinear multi-agent systems with actuator fault and input saturation

This paper studies the formation control of a nonlinear multi-agent system based on a broad learning system under actuator fault and input saturation. Firstly, the multi-agent tracking error is proposed based on graph theory. Besides, fault tolerance should be considered when actuator fault exists. Meanwhile, the broad learning system is put forward to approximate the unknown nonlinear function in the multi-agent system. Then, an input saturation auxiliary system is introduced to reduce the adverse effects of input saturation constraints. At the same time, the disturbance observer technology is used to estimate the actuator failure as a lumped uncertainty. At last, dynamic surface control is introduced to realize formation control with actuator fault and input saturation. Obviously, it is difficult to design a controller with unknown nonlinear function, input saturation, and actuator fault existing in the multi-agent system. The Lyapunov method can prove the stability of the formation control. The simulation results verify the effectiveness of the controller.

     

Necessary and sufficient conditions for the absolute stability of discrete type lurie control system

ＮＥＣＥＳＳＡＲＹＡＮＤＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＳＦＯＲＴＨＥＡＢＳＯＬＵＴＥＳＴＡＢＩＬＩＴＹＯＦＤＩＳＣＲＥＴＥＴＹＰＥＬＵＲＩＥＣＯＮＴＲＯＬＳＹＳＴＥＭＺｈａｎｇＪｉｙｅ（张继业）（ＲｅｃｅｉｘｅｄＯｃｔ．５．１９９４Ｃｏｍｍｕ...     

Tracking control and synchronization of the new hyperchaotic Liu system via backstepping techniques

In this paper, recursive and active backstepping nonlinear techniques are employed to design control functions for the respective, control, and synchronization of the new hyperchaotic Liu system. The designed recursive backstepping nonlinear controllers are capable of stabilizing the hyperchaotic Liu system at any position as well as controlling it to track any trajectory that is a smooth function of time. The designed active backstepping nonlinear controllers are effective in globally synchronizing two identical hyperchaotic Liu systems evolving from different initial conditions. The results are all validated by numerical simulations.     

Global quasi-Mittag–Leffler stability of distributed-order BLDCM system

Nonlinear Dynamics - This paper addresses the issues of the global quasi-Mittag–Leffler stability of distributed-order BLDCM chaotic system. Based on proper Lyapunov function and applying the...     

An optimization method based on the generalized polynomials for nonlinear variable-order time fractional diffusion-wave equation

In this paper, an optimization method based on a new class of basis functions, namely generalized polynomials (GPs), is proposed for nonlinear variable-order time fractional diffusion-wave equation. Variable-order time fractional derivative is expressed in the Caputo sense. In the proposed method, solution of the problem under consideration is expanded in terms of GPs with unknown free coefficients and control parameters. In this way, some new operational matrices of the ordinary and fractional derivatives are derived for these basis functions. The residual function and its 2-norm are employed for converting the problem under study to an optimization one and then choosing the unknown free coefficients and control parameters optimally. As a useful result, the necessary conditions of optimality are derived as a system of nonlinear algebraic equations with unknown free coefficients and control parameters. The validity and effectiveness of the method are demonstrated by solving some numerical examples. The results demonstrate that the proposed method is a powerful algorithm with good accuracy for solving such kind of problems.     

基于MATAB/Simulink的双电机速度跟踪伺服系统仿真

在分析直流无刷电机的数学模型的基础上,通过研究双电机速度跟踪伺服系统的结构与运行原理,对系统建立有效的仿真模型,完成了系统的计算机仿真.在MATLAB/Simulink环境下,采用基于位置的电控式跟踪控制策略,构建了双电机速度跟踪伺服系统仿真模型,主电机采用速度、电流双闭环控制,从电机在双闭环基础上外加位置环完成速度跟踪,并选择数字PID控制算法对系统进行仿真实验.仿真试验结果与系统设计要求一致,验证了数学模型的有效性及控制系统的合理性,有利于加快实际系统设计和调试的进程.     

非线性振动一种稳定的模糊控制方法研究

由于非线性振动系统的非线性本质,在于传统控制理论的线性控制器用于非线性振动控制效果不佳。本文针对非线性振动系统提出了一种模糊自适应滑模控制方案。     

Dynamics of a novel nonlinear SIR model with double epidemic hypothesis and impulsive effects

In this paper, the propagation of a nonlinear delay SIR epidemic using the double epidemic hypothesis is modeled. In the model, a system of impulsive functional differential equations is studied and the sufficient conditions for the global attractivity of the semi-trivial periodic solution are drawn. By use of new computational techniques for impulsive differential equations with delay, we prove that the system is permanent under appropriate conditions. The results show that time delay, pulse vaccination, and nonlinear incidence have significant effects on the dynamics behaviors of the model. The conditions for the control of the infection caused by viruses A and B are given.     

OPTIMAL CONTROL OF NONLINEAR VIBRATION RESONANCES OF SINGLE-WALLED NANOTUBE BEAMS

An optimal time-delay feedback control method is provided to mitigate the primary resonance of a single-walled carbon nanotube （SWCNT） subjected to a Lorentz force excited by a longitudinal magnetic field. The nonlinear governing equations of motion for the SWCNT under longitudinal magnetic field are derived and the modulation equations are obtained by using the method of multiple scales. The regions of the stable feedback gain are worked out by using the stability conditions of eigenvalue equation. Taking the attenuation ratio as the objective function and the stable vibration regions as constrained conditions, the optimal control parameters are worked out by using minimum optimal method. The optimal controllers are designed to control the dynamic behaviors of tile nonlinear vibration systems. It is found that the optimal feedback gain obtained by the optimal method can enhance the control performance of the primary resonance of SWCNT devices.     

Global exponential stabilization for chaotic brushless DC motors with a single input

In this paper, the global exponential stabilization for the chaotic brushless DC motor (BLDCM) is considered. Based on Lyapunov-like Theorem with differential and integral inequalities, a single and linear feedback control is proposed to realize the global stabilization of BLDCM with exponential convergence rate. The guaranteed exponential convergence rate can be also correctly estimated. Computer simulation results show that the proposed method is effective.     

低转矩波动精密离心机直接驱动系统

—本文在永磁电机多极化和磁场正弦化设计的基础上，采用单片跟踪型轴角数字转换器（ＲＤＣ）——２Ｓ８０构成了无刷直流电动机直接驱动系统，重点分析了２Ｓ８０抑制转矩波动的机理。实验表明，该系统满足了精密离心机对其驱动系统大转矩、低转矩波动的要求     

RLC串联电路与微梁耦合系统1:2内共振分析

研究电阻电感电容串联电路与微梁耦合系统的非线性振动,应用拉格朗日-麦克斯韦方程,建立受静电激励RLC串联电路与微梁耦合系统的数学模型。根据非线性振动的多尺度法,得到了在内共振ω2≈2ω1的情况下的近似解,并进行数值计算,得到用椭圆函数表示的解析解。计算结果表明,在无阻尼情况下,振动和能量在两个态间相互转换,没有能量损失。     

Robust {\varvec{L}}_{\varvec{2}}-gain control for a class of cascade switched nonlinear systems

In this paper, we study the robust finite \(L_2 \) -gain control for a class of cascade switched nonlinear systems with parameter uncertainty. Each subsystem of the switched system under consideration is composed of a zero-input asymptotically stable nonlinear part which is a lower dimension switched system, and of a linearizable part. The uncertainty appears in the control channel of each subsystem. We give sufficient conditions under which the nonlinear feedback controllers are derived to guarantee that the \(L_2 \) -gain of the closed-loop switched system is less than a prespecified value for all admissible uncertainty under arbitrary switching. Moreover, we also develop the \(L_2\) -gain controllers for the switched systems with nonminimum phase case.     

VIBRATION SUPPRESSION OF CANTILEVER LAMINATED COMPOSITE PLATE WITH NONLINEAR GIANT MAGNETOSTRICTIVE MATERIAL LAYERS

In this paper, a nonlinear and coupled constitutive model for giant magnetostrictive materials(GMM) is employed to predict the active vibration suppression process of cantilever laminated composite plate with GMM layers. The nonlinear and coupled constitutive model has great advantages in demonstrating the inherent and complicated nonlinearities of GMM in response to applied magnetic field under variable bias conditions(pre-stress and bias magnetic field).The Hamilton principle is used to derive the nonlinear and coupled governing differential equation for a cantilever laminated composite plate with GMM layers. The derived equation is handled by the finite element method(FEM) in space domain, and solved with Newmark method and an iteration process in time domain. The numerical simulation results indicate that the proposed active control system by embedding GMM layers in cantilever laminated composite plate can efficiently suppress vibrations under variable bias conditions. The effects of embedded placement of GMM layers and control gain on vibration suppression are discussed respectively in detail.