Pole placement method of controlling chaos in DC-DC buck converters

Based on the mechanism for the generation of chaos in a buck converter, a pole placement method is proposed and applied to controlling the chaos in a circuit. The control circuit is designed and tested. Numerical calculation and circuit implementation demonstrate the validity of this chaos control method.

Erratum to“A note on overshoot estimation in pole placements”

There is a mild flaw in the statement of Proposition 2.1 in the above paper （cf. [1] ）. We restate it as follows.

Theoretical and Experimental Studies of Active Vibration Control for Beams Using Pole Placement Method

The vibration control in the frequency domain is significant.Therefore,an active vibration control in frequency domain is studied in this paper.It is generally known that piezo-intelligent structures possess satisfactory performances in the area of vibration control,and macro-fiber composites(MFCs)with high sensitivity and deformability are widely applied in engineering.So,this paper uses the MFC patches and designs a control method based on the pole placement method,and the natural frequency of the beam can be artificially designed.MFC patches are bonded on the top and bottom surfaces of the beam structure to act as the actuators and sensors.Then,the finite element method(FEM)is used to formulate the equation of motion,and the pole placement based on the out-put feedback method is used to design the active controller.Finally,the effectiveness of the active control method is verified.

The Pole Placement of a Singular System with Delay

This paper deals with the pole placement of the singular system Ex=Ax（t）＋Dx（t-τ）＋Bu,y=yx,where x ∈ R^n, u ∈ R^m, and y ∈ R^n are its state, control input and measure output respectively; E, A ∈ R^n×n, B ∈ R^n×m, and C ∈ R^r×n are constant matrices. It is also assumed that rankE 〈 n. The results generalize the results of [1].

POLE PLACEMENT CONTROLLERS FOR LINEAR TIME-DELAY SYSTEMS WITH COMMENSURATE POINT DELAYS

This paper investigates the exact and approximate spectrum assignment properties associated with realizable output-feedback pole-placement type controllers for single-input single-output linear time-invariant time-delay systems with commensurate point delays. The controller synthesis problem is discussed through the solvability of a set of coupled diophantine equations of polynomials. An extra complexity is incorporated to the above design to cancel extra unsuitable dynamics being generated when solving the above diophantine equations. Thus, the complete controller tracks any arbitrary prefixed (either finite or delay-dependent) closed-loop spectrum. However, if the controller is simplified by deleting the above mentioned extra complexity, then the robust stability and approximated spectrum assignment are still achievable for a certain sufficiently small amount of delayed dynamics. Finally, the approximate spectrum assignment and robust stability problems are revisited under plant disturbances if the nominal controller is maintained. In the current approach, the finite spectrum assignment is only considered as a particular case to the designer's choice of a (delay-dependent) arbitrary spectrum assignment objective.

AN ALGEBRAIC METHOD FOR POLE PLACEMENT IN MULTIVARIABLE SYSTEMS

This paper considers the pole placement in multivariable systems involving known delays by using dynamic controllers subject to multirate sampling. The controller parameterizations are calculated from algebraic equations which are solved by using the Kronecker product of matrices. It is pointed out that the sampling periods can be selected in a convenient way for the solvability of such equations under rather weak conditions provided that the continuous plant is spectrally controllable. Some overview about the use of nonuniform sampling is also given in order to improve the system's performance.

An Improvement on Data-Driven Pole Placement for State Feedback Control and Model Identification

The recently proposed data-driven pole placement method is able to make use of measurement data to simultaneously identify a state space model and derive pole placement state feedback gain. It can achieve this precisely for systems that are linear time-invariant and for which noiseless measurement datasets are available. However, for nonlinear systems, and/or when the only noisy measurement datasets available contain noise, this approach is unable to yield satisfactory results. In this study, we investigated the effect on data-driven pole placement performance of introducing a prefilter to reduce the noise present in datasets. Using numerical simulations of a self-balancing robot, we demonstrated the important role that prefiltering can play in reducing the interference caused by noise.

Pole-placement self-tuning control of nonlinear Hammerstein system and its application to pH process control

By taking advantage of the separation characteristics of nonlinear gain and dynamic sector inside a Hammerstein model, a novel pole placement self tuning control scheme for nonlinear Hammerstein system was put forward based on the linear system pole placement self tuning control algorithm. And the nonlinear Hammerstein system pole placement self tuning control(NL-PP-STC) algorithm was presented in detail. The identi fication ability of its parameter estimation algorithm of NL-PP-STC was analyzed, which was always identi fiable in closed loop. Two particular problems including the selection of poles and the on-line estimation of model parameters, which may be met in applications of NL-PP-STC to real process control, were discussed. The control simulation of a strong nonlinear p H neutralization process was carried out and good control performance was achieved.

CONTINUOUS-TIME GENERALIZED PREDICTIVECONTROL WITH POLE-PLACEMENT

Denurcioslu et al. presented a method named continuous-time general-ized predictive control(CGPC) in 1991, which is obtained on the basis of the mini-mization of a quadratic cost function. However, In engineering practice, the behav-ior of a control system is generally evaluated by observing its dynamic response con-cerned mainly with the clused-loup poles uf the system. A CGPC algorithm withclosed-loop pole-placement is propused in this paper which advances the results byDemircioglu et al.

Enhancement of Ride Quality of Quarter Vehicle Model by Using Mixed H2/H with Pole-Placement

The aim of the present work is to illustrate the application of mixed H2/H∞ control theory with Pole-Placement in de- signing controller for semi-active suspension system. It is well known that the ride comfort is improved by reducing vehicle body acceleration generated by road disturbance. In order to study this phenomenon, Two Degrees of Freedom (DOF) in state space vehicle model was built in. However, the role of H is to minimize the disturbance effect on the output while H2 is used to improve the input of controller. Linear Matrix Inequality (LMI) technique is used to calculate the dynamic controller parameters. The simulation results show that the H2 and H techniques can effectively control the vibration of vehicle system where the reduction of suspension working space, dynamic tire load and body acceleration. Moreover, the simulation results show that the (RMS) of suspension working space was reduced by 44.5%, body acceleration and dynamic tire load are reduced by 18.5% and 20% respectively.

Robust L_1 filtering with pole constraint in a disk via parameter-dependent Lyapunov functions

The problem of robust L 1 filtering with pole constraint in a disk for linear continuous polytopic uncertain systems is discussed. The attention is focused on design a linear asymptotically stable filter such that the filtering error system remains robustly stable, and has a L 1 performance constraint and pole constraint in a disk. The new robust L 1 performance criteria and regional pole placement condition are obtained via parameter-dependent Lyapunov functions method. Upon the proposed multiobjective performance criteria and by means of LMI technique, both full-order and reduced-order robust L 1 filter with suitable dynamic behavior can be obtained from the solution of convex optimization problems. Compared with earlier result in the quadratic framework, this approach turns out to be less conservative. The efficiency of the proposed technique is demonstrated by a numerical example.

Robust L_2-L_∞ filtering with pole constraint in a disk via parameter-dependent Lyapunov functions

Addresses the design problems of robust L2-L∞ filters with pole constraint in a disk for uncertain continuous-time linear systems. The uncertain parameters are assumed to belong to convex bounded domains. The aim is to determine a stable linear filter such that the filtering error system possesses a prescribed L2-L∞ noise attenuation level and expected poles location. The filtering strategies are based on parameter-dependent Lyapunov stability results to derive new robust L2-L∞ performance criteria and the regional pole placement conditions. From the proposed multi-objective performance criteria, we derive sufficient conditions for the existence of robust L2-L∞ filters with pole constraint in a disk, and cast the filter design into a convex optimization problem subject to a set of linear matrix inequality constraints. This filtering method exhibits less conservativeness than previous results in the quadratic framework. The advantages of the filter design procedures are demonstrated by means of numerical examples.

LMI Approach to Robust H_∞/H_2 Controller Design with Regional Poles Constraint of a Pump-Motor System

The time domain guideposts requirements of a pump-motor system is transfered into a series of constraints which express the robust performance upper bound and regional poles limits of the closed loop system. Then the servo system control problem is transferred into the problem of robust performance optimizing under regional poles constrains described by linear matrix inequality （LMI）. These LMIs are easy to solve through the Matlab LMI-toolbox. Simulations indicate that the controller has excellent dynamic, static and disturbance rejection performance, and the control system is robust and has perfect H2 performance to the bounded external torque disturbance.

自行高炮稳定跟踪系统建模与谐振抑制方法

未来战场的高机动作战环境对自行高炮稳定跟踪系统提出了更高的性能要求,根据自行高炮稳定跟踪系统的机械结构特点,应用动量矩定理及矢量求导,基于牛顿-欧拉方法建立描述伺服电机配以减速机驱动方位炮塔和俯仰身管的多刚体动力学模型。通过对动力学模型的进一步分解,得到方位俯仰姿态角与输入力矩的关系式。综合考虑传动机构的刚度和控制对象的变惯量特性,建立载体运动姿态耦合条件下具有复杂动载荷力矩干扰的双轴稳定跟踪系统控制模型。针对结构谐振设计一种基于极点配置法和变增益加速度反馈的自整定PI控制方法与基于观测等效惯量的自整定陷波器,采用大地坐标系下的等效闭环干扰速率补偿式稳定控制策略,对该控制方法进行仿真验证。仿真结果表明:在传动机构存在连接弹性的条件下,所给出的控制方法实现了稳定误差不大于2.2×10^(-2) mrad、正弦稳定跟踪误差不大于3.5×10^(-2) mrad,具有良好的控制精度和抗扰动性能;在保证系统拥有较快响应速度的同时,有效抑制了伺服电机变速和稳态过程中的机械谐振,显著降低了负载力矩振荡和负载有效转矩值。

动力学系统在亏损时的反馈控制设计

通过引入反馈控制,使亏损系统动态特性得到优化。基于广义模态理论,利用系统矩阵结构特征,讨论亏损系统增益向量的计算方法,简化计算过程。通过分析二自由度飞机机翼运动学模型数据,验证该方法的有效性。

弹性驱动系统二自由度速度控制策略

针对二惯量弹性驱动系统,为了提高系统的稳定性,文章基于极点配置法对IP和PI速度控制系统进行参数设计,分析系统的阻尼特性。为改善系统快速性和稳定性,导入二自由度控制技术提高系统的设计自由度并增加一个前馈调节因子,分析其调节规律并给出一种设计方案。仿真分析表明,极点配置法结合二自由度控制可以保证速度控制系统快速性和稳定性的平衡,并且通过实验论证了设计的有效性。

海豚头气动外形导弹主动段过载驾驶仪设计

针对海豚头气动外形导弹主动段飞行过程中存在快速变化的俯仰干扰力矩导致驾驶仪过载指令不跟随的问题,研究了一种基于自适应控制的三回路过载驾驶仪在线调参方法。首先,对纵向短周期下的导弹动力学进行建模,建立三回路过载驾驶仪状态方程,在标称状态下采用极点配置对三回路过载驾驶仪的控制参数进行设计;其次,将标称状态下的驾驶仪视为参考模型,采用模型参考自适应方法,通过设计Lyapunov函数对自适应更新律进行设计。为了增强在建模不确定条件下自适应算法的稳定性,引入投影算子和死区的概念;最后,在气动拉偏条件下对海豚头气动外形导弹的主动段进行三回路自适应过载驾驶仪指令跟踪仿真。仿真结果表明,三回路自适应过载驾驶仪在海豚头气动外形导弹的主动段具有较好的动态跟踪特性。

高性能逆变器模拟控制器设计方法

分析表明如果设计方法欠佳,PID控制器不能发挥优良调节能力,使逆变器单环控制系统性能不很理想。该文提出一种基于极点配置的逆变器瞬时电压PID控制器设计方法,使PID控制逆变器动态响应快速、非线性负载情况下输出电压THD低,稳态精度高,系统鲁棒性强。在理论上,从状态空间的角度阐述了此方法使PID控制逆变器系统性能优良的本质。仿真与实验结果有效地验证了理论分析。逆变器瞬时电压PID控制与电压电流双环控制相比,在电路结构、成本等方面更具优越性。

一种高性能的单相逆变器多环控制方案

提出了一种高性能的单相逆变器控制策略。该方案在电压电流双闭环控制基础上增加了外层的重复控制器。在实现输出电压解耦和扰动电流补偿后,电压外环采用比例积分环节,电流内环采用比例环节的控制器。理论分析证明在这种双环结构下,可以实现任意配置闭环极点,因而使逆变器达到了很快的响应速度及较好的稳态精度。位于内层的双环瞬时控制器改善了系统的动态特性,位于外层的重复控制器提高了稳态精度及抗非线性负载扰动的能力,两种控制器各司其职,互为补充,为单相逆变器波形控制提供了一种接近完美的控制方案。最后在一台基于DSPTMS320F240的单相PWM逆变器实验装置上验证了该控制方案的正确性。

永磁同步平面电动机三自由度运动控制器

建立了永磁同步平面电动机动子的3自由度动力学模型,并在偏摆角位移较小的假设基础上,对动力学模型进行了简化,进而拟定了通过同时调节4个电磁推力以产生所需偏摆限位转矩的力控制策略。此外,基于状态空间极点配置法,分别设计了与3个自由度对应的位置伺服控制算法,并且对所建立的控制系统进行了数值仿真,仿真结果表明所采用的控制策略和控制算法使控制系统达到了预期的动、静态指标。