NECESSARY AND SUFFICIENT CONDITION FOR GLOBAL CONTROLLABILITY OF A CLASS OF AFFINE NONLINEAR SYSTEMS

In this paper, we investigate the global controllability of a class of n-dimensional affine nonlinear systems with n- 1 controls and constant control matrix. A necessary and sufficient condition for its global controllability has been obtained by using the methods recently developed. Furthermore, we generalize the above result to a class of affine nonlinear systems with a block-triangular-like structure. Finally, we will give three examples to show the applications of our results.     

Controllability of Singular Distributed Parameter Systems in the Sense of Mild Solution

Necessary and sufficient conditions for the exact controllability and approximate controllability of a singular distributed parameter system are obtained. These general results are used to examine the exact controllability and approximate controllability of the Dzektser equation in the theory of seepage.     

Controllability and Observability of Stochastic Singular Systems in Banach Spaces

Journal of Systems Science and Complexity - Exact (approximate) controllability and exact (approximate) observability of stochastic singular systems in Banach spaces are discussed. Firstly, the...     

The Center Problem and Time-Reversibility with Respect to a Quadratic Involution for a Class of Polynomial Differential Systems with Order 2 or 3

Journal of Systems Science and Complexity - Most studies of the time-reversibility are limited to a linear or an affine involution. In this paper, the authors consider the case of a quadratic...     

一类线性切换系统的能控性和能观测性的充要条件

循环不变子空间是常用于控制科学和信号处理理论的重要数学工具之一。用循环不变子空间的性质研究了切换系统的能控性和能观测性。先给出了切换系统能控性、能达性和能观测性的概念,并讨论了循环不变子空间的性质。然后用循环不变子空间的性质研究了周期线性切换系统的能控制性、能达性及能观测性,得到线性周期切换系统完全能控和完全能观测的充分必要条件。最后给出一般线性切换系统完全能控和完全能观测的充分条件和必要条件。     

一类高阶非线性系统的混合自适应重复学习控制

针对含有时变和时不变未知参数的高阶非线性系统,利用分段积分机制,提出了一种新的自适应重复学习控制方法,该方法结合了反馈线性化,可以处理参数在一个未知紧集内周期性快时变的非线性系统,通过引进微分-差分参数自适应律,设计了一种自适应控制策略,使广义跟踪误差在误差平方范数意义下渐近收敛于零,通过构造Lyapunov函数,给出了闭环系统收敛的一个充分条件.实例仿真结果说明了该方法的有效性和可行性.     

一类模型模糊系统的模型参考自适应控制

针对一类模型可用一组模糊规则来描述的系统,提出了一种模型参考自适应控制律。根据 Ｌｙａｐｕｎｏｖ理论证明了闭环系统是稳定收敛的。仿真例子证实了该方法的有效性。     

一类复杂系统自适应观测器设计

分析和研究了一类非线性不确定复杂控制系统的自适应状态观测器设计问题,利用模糊逻辑系统具有充分逼近连续函数的性质,在状态观测器的鲁棒项构造中引入了模糊逻辑系统的输出,并用它完成了逼近系统中不确定性的任务,从而削弱了已有的研究成果在设计这类系统状态观测器时所使用的较为苛刻的假设条件,并证明了所设计的观测器与被控系统状态间的误差及各参数估计误差一致终极有界。最后用仿真实例证明了所采用方法的有效性。     

一类非线性系统的鲁棒自适应控制

针对一类含有不确定参数和未知扰动的非线性系统，提出一种鲁棒自适应控制方法以确保系统输出稳定地精确跟踪给定的参考信号。控制器的设计分两步进行：首先，在不考虑扰动的情况下，采用一种基于参数映射的Lyapunov设计方法设计系统参数自适应控制器；然后，在该自适应控制器的基础上，采用衰减控制策略设计鲁棒补偿器，实现对扰动的抑制。最后通过数字仿真验证了设计方案的有效性。     

一类非线性离散系统的自适应控制

针对一类非线性离散系统 ,利用 Lyapunov方法和加权最小二乘估计设计了一种自适应控制器 ,在对非线性 (不加增长条件约束 )的情况下 ,得到了闭环系统的全局跟踪性能 .     

一类欠驱动机械系统的嵌套饱和控制

针对一类欠驱动机械系统,设计了将系统动力学转换成严格前馈级联非线性系统的坐标和控制变换,基于得到的严格前馈形式的级联非线性系统,给出了系统的嵌套饱和控制器.结合欠驱动车摆系统,采用提出的嵌套饱和控制方案进行了系统的稳定设计,对得到的稳定的控制系统进行了仿真实验,结果表明所提出的控制策略能够有效解决系统动力学可转换成前馈级联非线性系统形式的这类欠驱动机械系统的稳定控制.     

CONVERGENCE OF A CLASS OF MULTI-AGENT SYSTEMS IN PROBABILISTIC FRAMEWORK

Multi-agent systems arise from diverse fields in natural and artificial systems, and a basic problem is to understand how locally interacting agents lead to collective behaviors （e.g., synchronization） of the overall system. In this paper, we will consider a basic class of multi-agent systems that are described by a simplification of the well-known Vicsek model. This model looks simple, but the rigorous theoretical analysis is quite complicated, because there are strong nonlinear interactions among the agents in the model. In fact, most of the existing results on synchronization need to impose a certain connectivity condition on the global behaviors of the agents＇ trajectories （or on the closed-loop dynamic neighborhood graphs）, which are quite hard to verify in general. In this paper, by introducing a probabilistic framework to this problem, we will provide a complete and rigorous proof for the fact that the overall multi-agent system will synchronize with large probability as long as the number of agents is large enough. The proof is based on a detailed analysis of both the dynamical properties of the nonlinear system evolution and the asymptotic properties of the spectrum of random geometric graphs.     

一类非线性系统的自适应神经跟踪控制

针对一类未知非线性动态系统,提出了一种基于神经网络的自适应输出跟踪控制方案。网络权值的自适应修正规则是基于Lyapunov稳定性理论实现的,避免了递归训练过程;一个滑模控制项用于消除神经网络逼近误差的影响。因此,该自适应神经控制器能保证系统的全局稳定性和输出跟踪误差渐近收敛于0。     

一类非线性时滞系统的可靠控制设计

针对一类非线性时滞系统 ,首先不考虑故障情况 ,设计了一种控制器 ,使得系统在控制器的作用下 ,对于任意的初始状态都能控制到原点。然后针对可能发生的故障 ,利用神经网络的在线建模能力 ,以其输出作为原有控制律的附加控制信号来补偿故障对系统的影响 ,从而构成了一种可靠控制器 ,实现了该类系统的可靠控制。     

一类不确定非线性系统的鲁棒自适应控制

针对一类具有未知控制方向、未知参数以及未建模动态的非线性系统,提出了一种带有死区修正的鲁棒自适应递推控制策略.该策略不需要控制方向符号的先验知识.根据参数的上下界先验信息,分别将光滑投影算法和非连续投影算法与参数自适应律结合起来,既抑制了参数的漂移,又使估计参数达到了最小.算法保证了闭环系统所有信号的有界性,同时使得跟踪误差收敛于零的任意小邻域内.     

一类不确定广义系统的鲁棒容错控制

研究了一类不确定广义系统的鲁棒容错控制问题。基于LMI方法和矢量不等式方法,提出了一种既能使闭环系统在执行器发生故障时具有完整性,又能对所有容许的不确定性具有鲁棒性的鲁棒容错反馈设计方法。该方依赖于相应的LMI的求解,虽然含有多个参数,但无需预先调整参数,在LMITOOL环境下可一次性求出,求解很方便,使整个设计更具有实用性。数值例子验证了上述方法的有效性。     

一类离散事件系统的混合型控制器设计

给出了状态机的混合型控制器的设计方法,首先设计了禁止库所的增量观测器和状态观测器,根据观测器的标识给出了允许标识和临界允许标识的判据,然后利用这两个判据给出的计算最大允许控制的算法.一个例子对本文的结论做了说明.     

Structure-Preserving Recurrent Neural Networks for a Class of Birkhoffian Systems

In this paper, the authors propose a neural network architecture designed specifically for a class of Birkhoffian systems — The Newtonian system. The proposed model utilizes recurrent neural networks(RNNs) and is based on a mathematical framework that ensures the preservation of the Birkhoffian structure. The authors demonstrate the effectiveness of the proposed model on a variety of problems for which preserving the Birkhoffian structure is important, including the linear damped oscillator, the...     

一类多输入多输出系统的预测PID控制算法仿真

研究了一类参教未知的多变量系统的广义预测PID参数整定问题。基于广义预测控制(GPC)的思想和γGPC与PID的相互关系，提出了一种新的离散多变量系统PID参数整定方法，其中性能指标包含了稳态误差加权项。PID参数通过γGPC与PID的相互关系递推计算得到。仿真例子说明了该方法的有效性和可行性。     

Adaptive Stabilization for a Class of Feedforward Systems with Zero-Dynamics

This paper investigates adaptive state feedback stabilization for a class of feedforward nonlinear systems with zero-dynamics,unknown linear growth rate and control coefficient.For design convenience,the state transformation is first introduced and the new system is obtained.Then,the estimation law is constructed for the unknown control coefficient,and the state feedback controller is proposed with a gain updated on-hne.By appropriate choice of the estimation law for the control coefficient and the dynamic gain,the states of the closed-loop system are globally bounded,and the state of the original system converges to zero.Finally,a simulation example is given to illustrate the correctness of the theoretical results.