Global finite‐time stabilization for a class of high‐order switched nonlinear systems via sampled‐data control

This paper investigates the global finite‐time stabilization for a class of high‐order switched nonlinear systems via the sampled‐data output feedback control. Firstly, we design a continuous‐time output feedback controller for the nominal part via adding a power integrator technique. Based on the homogeneous theory, together with the Gronwall‐Bellman inequality, a sampled‐data output feedback controller is designed with suitable sampling periods to ensure that the closed‐loop system can be globally stabilized in finite time. In the meantime, the proposed control method can be extended to the switched nonlinear systems with an upper‐triangular growth condition. Finally, two examples are presented to illustrate the validity of the proposed control scheme.     

Global decentralized sampled‐data output feedback stabilization for a class of large‐scale nonlinear systems with sensor and actuator failures

In this paper, we investigate global decentralized sampled‐data output feedback stabilization problem for a class of large‐scale nonlinear systems with time‐varying sensor and actuator failures. The considered systems include unknown time‐varying control coefficients and inherently nonlinear terms. Firstly, coordinate transformations are introduced with suitable scaling gains. Next, a reduced‐order observer is designed to estimate unmeasured states. Then, a decentralized sampled‐data fault‐tolerant control scheme is developed with an allowable sampling period. By constructing an appropriate Lyapunov function, it can be shown that all states of the resulting closed‐loop system are globally uniformly ultimately bounded. Finally, the validity of the proposed control approach is verified by using two examples.     

On the general consensus protocol in multi‐agent networks with second‐order dynamics and sampled data

This paper considers the problem of the convergence of the consensus for multiple agents in a directed network. A general distributed consensus protocol is designed, the advantage of this protocol is that almost all the existing linear local interaction consensus protocols can be considered as special cases of the present paper. Necessary and sufficient conditions are established for reaching consensus of the system by choosing the appropriate sampling period, the control parameters and the spectra of the Laplacian matrix. It is found that second‐order consensus cannot be reached for a sufficiently large sampling period while it can be reached for a sufficiently small one. Furthermore, the coupling gains can be carefully designed under the given network structure and the sampling period. Finally, a simulation example is given to verify and illustrate the theoretical analysis.     

Sufficient conditions to stabilize time‐varying nonlinear sampled‐data systems via approximation

This paper investigates the problem of stabilizing a time‐varying nonlinear sampled‐data system based on its approximate models. Given a time‐varying nonlinear sampled‐data system, we make use of the approximate models of the system at each sampling instant to build a time‐varying approximate model with which an appropriate controller is designed. This paper provides some sufficient conditions under which a controller stabilizing the approximate models can also stabilize the exact sampled‐data system under any sufficiently small sampling period. With this method, we do not need to compute the complicated exact discrete‐time model of the concerned system and significantly simplify the controller design. The major contribution of this method lies in extending the available results regarding the time‐invariant sampled‐data systems to the time‐varying case. Moreover, this method enables us to analyze the influence of the precision of approximate models on the system performance. Copyright © 2016 John Wiley & Sons, Ltd.     

Finite horizon H∞ control for a class of sampled‐data linear quantum systems

In this paper, a finite horizon H^∞ control problem is solved for a class of linear quantum systems using a dynamic game approach for the case of sampled‐data measurements. The methodology adopted involves an equivalence between the quantum problem and two auxiliary classical problems. Copyright © 2016 John Wiley & Sons, Ltd.     

Distributed Observer‐based Stabilization of Nonlinear Multi‐agent Systems with Sampled‐data Control

In this paper, the distributed observer‐based stabilization problem of multi‐agent systems under a directed graph is investigated. Distributed observer‐based control protocol with sampled‐data information is proposed. The dynamics of each agent contain a nonlinear part, which is supposed to be general Lipschitz. In order to stabilize the states of the whole network, all the nodes utilize the relative output estimation error at sampling instants and only a small fraction of nodes use the absolute output estimation error additionally. By virtue of the input‐to‐state stability (ISS) property and the Lyapunov stability theory, an algorithm to design the control gain matrix, observer gain matrix, coupling strength as well as the allowable sampling period are derived. The conditions are in the form of LMIs and algebraic inequality, which are simple in form and easy to verify. Some further discussions about the solvability of obtained linear matrix inequalities (LMIs) are also given. Lastly, an example is simulated to further validate the obtained results.     

取样光栅分布反馈激光器阵列器件研究

采用了一种基于取样光栅原理制作多通道增益-折射率耦合型光栅的方法,成功制作了8波长分布反馈(DFB)激光器阵列,阵列中各激光器的阈值电流为30～40 mA,注入电流为100 mA时的平均输出光功率为10mW,阵列器件实现了波长的可选择性激射,相邻激光器间的频率间距为200 GHz,验证了用取样光栅方法制作DFB激光器阵列的可行性。     

基于超连续谱的全光多通道ROF系统光源的产生

提出一种基于超连续谱梳状切割方案的多通道光载射频传输(ROF)系统光源全光生成方法. 实验利用飞秒光脉冲经过2段长5m、色散符号相反的高非线性光子晶体光纤,在1550nm的通信波段产生了带宽超过170nm的超连续谱. 使用本实验室自行设计、制作的取样光纤光栅对所得超连续谱进行滤波,产生了20个波长、峰值波动为±03dBm的多波长梳状光谱,将每2个相邻波长滤出,即可作为ROF系统的一路光载毫米波,共可产生10路. 结果表明,所产生的10路光载毫米波峰值波动小,调制深度大,每波长线宽窄,而且整个系统结构简单,插入损耗小,易于集成.     

Second‐order consensus for directed multi‐agent systems with sampled data

This paper deals with the consensus problem of second‐order multi‐agent systems with sampled data. Because of the unavailable velocity information, consensus problem is studied only by using the sampled position information. The final consensus states of multi‐agent system are given. And a necessary and sufficient consensus condition is provided, which depends on the parameters of sampling interval, eigenvalues of Laplacian matrix, and coupling strengths. Then, the case that both the sampled position and velocity information can be obtained is discussed. On the basis of introducing a time‐varying piecewise‐continuous delay and proposing a novel time‐dependent Lyapunov functional, the sufficient consensus condition is presented, and the upper bound of sampling interval can be estimated. Simulation examples are provided finally to demonstrate the effectiveness of the proposed design methods. Copyright © 2013 John Wiley & Sons, Ltd.     

非半周期采样信号相位差估计的相位校正相关法

针对非半周期采样信号的相位差估计问题,提出一种非半周期采样信号相位差估计的相位校正相关法。首先,利用频率估计的相位匹配方法对采样信号进行频率估计,得到采样信号的频率估计值;其次,对采样信号进行互相关,得到互相关信号,并通过采样信号的信号时移和互相关构造一路新的互相关信号,使两路互相关信号具有相同的误差项;然后,利用两路互相关信号得到相位校正互相关信号;最后,利用相位校正互相关信号和频率估计值获得采样信号的相位差估计值。理论分析表明,该方法消除了采样信号非半周期采样对相位差估计的影响,无需预知信号幅值即可实现采样信号相位差的无偏估计。为验证所提方法的有效性和优越性,在不同相位差、信噪比和信号长度条件下对本文方法进行了仿真实验,并利用科氏流量计进行了应用实验。仿真实验结果表明,本文方法有效提高了非半周期采样信号的相位差估计精度,其相位差估计精度优于互相关方法、数据延拓式相关方法和正交时延估计方法的相位差估计精度,更接近克拉美罗下限。科氏流量计流量测量实验验证了本文方法在实际应用中的有效性。