Sliding mode H∞ control for a class of uncertain nonlinear state-delayed systems

A new proportional-integral (PI) sliding surface is designed for a class of uncertain nonlinear state-delayed systems. Based on this, an adaptive sliding mode controller (ASMC) is synthesized, which guarantees the occurrence of sliding mode even when the system is undergoing parameter uncertainties and external disturbance. The resulting sliding mode has the same order as the original system, so that it becomes easy to solve the H_∞ control problem by designing a memoryless H_∞ state feedback controller. A delay-dependent sufficient condition is proposed in terms of linear matrix inequalities (LMIs), which guarantees the sliding mode robust asymptotically stable and has a noise attenuation level γ in an H_∞ sense. The admissible state feedback controller can be found by solving a sequential minimization problem subject to LMI constraints by applying the cone complementary linearization method. This design scheme combines the strong robustness of the sliding mode control with the H_∞ norm performance. A numerical example is given to illustrate the effectiveness of the proposed scheme.     

离散模糊双线性关联大系统的广义H2分散控制

基于分段二次Lyapunov函数稳定性理论,研究了一类离散模糊双线性关联大系统广义H₂分散控制问题。模糊双线性关联大系统由J个相互关联的离散T-S模糊双线性系统组成。通过构造分段Lyapunov函数,给出了系统二次稳定的充分性条件。在此基础上,设计了广义H₂分散状态反馈控制器,使闭环系统广义H₂稳定,控制器的设计可以通过序列线性规划矩阵方法求解得到。仿真结果表明所提方法的有效性。     

Establishing formal state space models via quantization forquantum control systems

1.INTRODUCTION Quantumtheoryisoneofthemostimportantachieve mentsinthe20thcentury,anditdisclosesthestruc tures,characteristicsandmotionlawsofmatterinthe microcosmicfieldandleadsusfromthemacroscopical worldintomicrosystems.Aseriesofnewphenomena whicharedifferentfromclassicalsystemshavebeen discovered,suchasquantumentanglement,quantum coherenceanduncertainty.Meanwhile,quantum theoryandquantummethodsarealsowidelyusedin differentfieldssuchaschemicalreaction,geneticen gineering,atomicphysicsandi…     

H ∞ control of networked multi-agent systems

This paper concerns the disturbance rejection problem arising in the coordination control of a group of autonomous agents subject to external disturbances. The agent network is said to possess a desired level of disturbance rejection, if the H _∞ norm of its transfer function matrix from the disturbance to the controlled output is satisfactorily small. Undirected graph is used to represent the information flow topology among agents. It is shown that the disturbance rejection problem of an agent network can be solved by analyzing the H _∞ control problem of a set of independent systems whose dimensions are equal to that of a single node. An interesting result is that the disturbance rejection ability of the whole agent network coupled via feedback of merely relative measurements between agents will never be better than that of an isolated agent. To improve this, local feedback injections are applied to a small fraction of the agents in the network. Some criteria for possible performance improvement are derived in terms of linear matrix inequalities. Finally, extensions to the case when communication time delays exist are also discussed. This research is supported by the Natural Science Foundation of China under Grants Nos. 10832006 and 60674093.     

Fault-tolerant control of linear uncertain systems using H∞ robust predictive control

The robust fault-tolerant control problem of linear uncertain systems is studied. It is shown that a solution for this problem can be obtained from a H∞ robust predictive controller （RMPC） by the method of linear matrix inequality （LMI）. This approach has the advantages of both H∞ control and MPC： the robustness and ability to handle constraints explicitly. The robust closed-loop stability of the linear uncertain system with input and output constraints is proven under an actuator and sensor faults condition. Finally, satisfactory results of simulation experiments verify the validity of this algorithm.     

基于H∞鲁棒动态逆的飞行器轨迹跟踪方法

利用非线性动态逆方法的精确线性化功能,结合H_∞控制理论,提出了一种阻力加速度能量标准轨迹的跟踪方法。通过动态逆将非线性的高超声速飞行器系统等效为线性对象,继而考虑非结构不确定性及参数不确定性,采用H_∞控制理论设计外回路鲁棒控制器,实现了标准轨迹的精确跟踪,同时给出了闭环系统的鲁棒稳定性证明。仿真结果验证了该方法的有效性。     

Delay-dependent robust H∞ control of convex polyhedral uncertain fuzzy systems

The robust H∞ control problem for a class of uncertain Takagi-Sugeno fuzzy systems with timevarying state delays is studied. The uncertain parameters are supposed to reside in a polytope. Based on the delay-dependent Lyapunov functional method, a new delay-dependent robust H∞ fuzzy controller, which depends on the size of the delays and the derivative of the delays, is presented in term of linear matrix inequalities （LMIs）. For all admissible uncertainties and delays, the controller guarantees not only the asymptotic stability of the system but also the prescribed H∞ attenuation level. In addition, the effectiveness of the proposed design method is demonstrated by a numerical example.     

Robust H∞ control for networked control systems

The robust H∞ control for networked control systems with both stochastic network-induced delay and data packet dropout is studied. When data are transmitted over network, the stochastic data packet dropout process can be described by a two-state Markov chain. The networked control systems with stochastic network-induced delay and data packet dropout are modeled as a discrete time Markov jump linear system with two operation modes. The sufficient condition of robust H∞ control for networked control systems stabilized by state feedback controller is presented in terms of linear matrix inequality. The state feedback controller can be constructed via the solution of a set of linear matrix inequalities. An example is given to verify the effectiveness of the method proposed.     

Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

The H∞ output feedback control problem for uncertain discrete-time switched systems is reasearched. A new characterization of stability and H∞ performance for the switched system under arbitrary switching is obtained by using switched Lyapunov function.Then,based on the characterization,a linear matrix inequality (LMI)approach is developed to design a switched output feedback controller which guarantees the stability and H∞ performance of the closed-loop system.A numerical example is presented to demonstrate the application of the proposed method.     

Delay-dependent robust H∞ control for uncertain discrete time-delay fuzzy systems

The robust H∞ control problem of norm bounded uncertain discrete Takagi-Sugeno (T-S) fuzzy systems with state delay is addressed. First, by constructing an appropriate basis-dependent Lyapunov-Krasovskii function, a new delay-dependent sufficient condition on robust H∞-disturbance attenuation is presented, in which both robust stability and prescribed H∞ performance are guaranteed to be achieved. Then based on the condition, a delay-dependent robust H∞ controller design scheme is developed in term of a convex algorithm. Finally, examples are given to illustrate the effectiveness of the proposed method.     

Delay-dependent decentralized H∞ filtering for uncertain interconnected systems

This article considers delay dependent decentralized H∞ filtering for a class of uncertain interconnected systems, where the uncertainties are assumed to be time varying and satisfy the norm-bounded conditions. First, combining the Lyapunov-Krasovskii functional approach and the delay integral inequality of matrices, a sufficient condition of the existence of the robust decentralized H∞ filter is derived, which makes the error systems asymptotically stable and satisfies the H∞ norm of the transfer function from noise input to error output less than the specified up-bound on the basis of the form of uncertainties. Then, the above sufficient condition is transformed to a system of easily solvable LMIs via a series of equivalent transformation. Finally, the numerical simulation shows the efficiency of the main results.     

<Emphasis Type="Italic">L</Emphasis><Subscript>2</Subscript> disturbance attenuation for a class of time-delay Hamiltonian systems

This paper considers the problem of L ₂-disturbance attenuation for a class of time-delay port-controlled Hamiltonian systems. A γ-dissipative inequality is established by using a proper control law and a storage function. Then based on the Razumikhin stability theorem, a sufficient condition is proposed for the asymptotically stability of the closed-loop system. Finally, the authors investigate the case that there are time-invariant uncertainties belonging to some convex bounded polytypic domain and an L ₂ disturbance attenuation control law is proposed. Study of illustrative example with simulation shows that the presented method in this paper works very well in the disturbance attenuation of time-delay Hamiltonian systems.     

Design of control sequence of pulses for the population transfer of high dimensional spin 1/2 quantum systems

On the basis of the relationship between the Hamiltonian of spin 1/2 quantum system under control and the energy level structure and transitions, a radio frequency pulse sequence is designed using intuitive and half counter-intuitive sequences of pulse to transfer the population of the 3-qubit system coherently. The effectiveness of the designed control sequence is verified through the system simulation experiment of the evolution of state. In principle, the design method of the control pulse sequence proposed can be generalized to use in the quantum systems of higher dimension.     

基于负载观测器的永磁同步电机能量成型控制

针对永磁同步电机(PMSM)负载转矩已知和未知情况,采用能量成型控制方法和负载观测器技术,研究了PMSM的建模与速度控制问题。建立了PMSM的端口受控哈密顿系统模型,给出了闭环系统期望的哈密顿函数,配置了期望的互联和阻尼矩阵,设计了系统的控制器和负载转矩观测器,分析了系统平衡点的稳定性。仿真结果表明,所提出的方案对负载转矩已知和未知情况具有很好的转速控制性能和负载扰动抑制能力。     

分段状态约束非线性预测控制数值算法研究

针对含分段状态约束的非线性预测控制问题,在状态约束隐式法基础上提出了一种改进的快速数值算法。通过平滑处理将分段状态约束转化为与目标函数相同的正则形式,转化后的状态约束连续可微,从而可以由相同Hamiltonian方法计算目标函数和状态约束函数对控制参数的一阶导数。仿真结果表明,状态转换法能够求解双足机器人非线性预测控制问题。与惩罚函数法相比,状态转换法寻优时间短,数值最优解是所有约束范围的内点,从而证明了该方法的有效性。     

基于遗传算法的U型生产线平衡

基于U型布局的生产线是准时化生产系统的一个重要组成部分，且生产线的U型设计是提高劳动生产率，减少浪费，降低生产成本，增加成本线柔性的一种有效方法，针对U型生产线的特点，设计了一种基于遗传算法的平衡优化方法，这种遗传算法以分配作业元素到工作站的先后顺序为问题的编码，按照最大分配原则进行译码，算法简洁，能够适应不同约束条件和优化目标的需要，通过对经典生产线平衡问题的测试与比较表明，这种算法是一种高效的解决U型生产线平衡的工具。     

Robust reliable H∞ control for discrete-time Markov jump linear systems with actuator failures

The robust reliable H∞ control problem for discrete-time Markovian jump systems with actuator failures is studied. A more practical model of actuator failures than outage is considered. Based on the state feedback method, the resulting closed-loop systems are reliable in that they remain robust stochastically stable and satisfy a certain level of H∞ disturbance attenuation not only when all actuators are operational, but also in case of some actuator failures, The solvability condition of controllers can be equivalent to a feasibility problem of coupled linear matrix inequalities （LMIs）. A numerical example is also given to illustrate the design procedures and their effectiveness.     

POINCARE BIFURCATIONS IN POLYNOMIAL DIFFERENTIAL SYSTEMS

1.IntroductionForagivenunperturbedplanarsystemwithafamilyofclosedorbits,considerthecreationofisolatedclosedorbits--limitcyclesbyperturbationofthesystem.ThatiscalledthePoillcar6bifurcation.Therearewell-knowntheoreticalresultsaboutPoincar6bifllrcati()11,seeforexam-Ple[1],[2].InthecasewheretheunperturbedsystemisHamiltonian,thepertllrbedsystemcanbewrittenasinwhichweassumethatp(x,y,0)=Q(x,U,(i)~0,and(1)A--ohasafamilyofclosedorbitsgivenbytheHamiltonianintegralnfH(x,y)=h,0相似文献