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 .     

Optimal Control of Unknown Discrete-Time Linear Systems with Additive Noise

The optimal control problem with a long run average cost is investigated for unknown linear discrete-time systems with additive noise. The authors propose a value iteration-based stochastic adaptive dynamic programming(VI-based SADP) algorithm, based on which the optimal controller is obtained. Different from the existing relevant work, the algorithm does not need to estimate the expectation(conditional expectation) and variance(conditional variance) of states or other relevant variables, and th...     

Stability Robustness Measures of Linear Discrete-Time Systems with Structured Perturbations

1IntroductionMuchefforthasbeendevotedtotheproblemofrobuststabilityoflineardynamicalsystemsforsometime.Thereisconsiderableliteratureonthistopicforcontinuoustimesystems,seeDoratoandYed.valli[1]andSiljak[2]forasummaryofrecentdevelopmentsinthisarea.Recently,therobuststabilityanalysisofdiscrete-timesystemshasalsoreceivedconsiderableinterest.Severalapproacheshavebeendevelopedtodealwiththeproblemofmaintainingthestabilityofanominallystablesystemsubjectedtoperturbations,suchastheLyapunovstabilitymeth…     

Bipartite Consensus of Discrete-Time Double-Integrator Multi-Agent Systems with Measurement Noise

The effects of measurement noise are investigated in the context of bipartite consensus of multi-agent systems. In the system setting, discrete-time double-integrator dynamics are assumed for the agent, and measurement noise is present for the agent receiving the state information from its neighbors. Time-varying stochastic bipartite consensus protocols are designed in order to lessen the harmful effects of the noise. Consequently, the state transition matrix of the closed-loop system is analyzed, and sufficient and necessary conditions for the proposed protocol to be a mean square bipartite consensus protocol are given with the help of linear transformation and algebraic graph theory. It is proven that the signed digraph to be structurally balanced and having a spanning tree are the weakest communication assumptions for ensuring bipartite consensus. In particular, the proposed protocol is a mean square bipartite average consensus one if the signed digraph is also weight balanced.     

Generalized Consensus of Discrete-Time Multi-Agent Systems with Directed Topology and Communication Delay

Journal of Systems Science and Complexity - Compared with traditional consensus, this paper studies the generalized consensus problem for discrete-time multi-agent systems with directed topology...     

多时滞离散广义系统的渐近稳定性判据

对多时滞离散广义系统 ,给出了两个渐近稳定性判据。其中之一可直接检验 (如l<1) ,另一个可通过边界检验。在检验系统渐近稳定性时 ,我们首先采用直接检验方法 ,如果直接检验不成功 ,再采取边界检验方法。给出的判据容易测试 ,便于工程上应用 ,所举的例子说明了该方法的实用性。这些稳定性判据还可扩展到扰动系统。     

不确定离散时滞系统的鲁棒容错控制

考虑了线性离散时滞系统的容错控制问题,给出了传感器失效时系统具有完整性的一个充分条件,并推广到执行器失效的情况。在此基础上得到了更接近实际系统的不确定时滞离散系统问题,给出鲁棒容错控制时滞系统的设计方法和步骤,并用实例验证了所给方法的有效性。     

Design of an Optimal Preview Controller for Dual-Rate Linear Discrete-Time Systems

A dual-rate preview control strategy for a type of discrete-time system is proposed based on the theory of multirate control. First, by using the discrete lifting technique, the general dual-rate discrete-time system is converted into a single-rate augmented system. On this basis, the augmented error system is constructed by introducing a first-order difference operator and the previewable reference signal. Then the tracking problem is transformed into a regulator problem of the augmented error system. The optimal preview control law of the augmented error system is obtained by using standard linear quadratic optimal preview control theory, and then the optimal preview controller of the original system is derived. In addition, the necessary and sufficient conditions for the controller are given.Finally, simulation results show the effectiveness of the proposed method.     

Stabilization of Discrete-Time Dynamical Systems Under Event-Triggered Impulsive Control with and Without Time-Delays

This paper investigates the issue of stabilization for discrete-time dynamical systems (DDS) by event-triggered impulsive control (ETIC). Based on some relatively simple threshold constants, three levels of event conditions are set and thus the ETIC scheme is designed. Three cases for ETIC with and without time-delays and data dropouts are studied respectively, and the criteria on exponential stability are derived for the controlled DDS. The stabilization in the form of exponential stability is achieved for DDS under the designed ETIC with or without time-delays. And in the case of the ETIC data dropouts, the conditions of exponential stabilization are derived for DDS and the maximal allowable dropout rates for ETIC are estimated. Finally, one example with numerical simulations is worked out for illustration.     

广义双线性系统的参考模型终端滑模控制

利用李雅普诺夫方法研究了广义双线性系统的参考模型终端滑模控制.首先通过选取适当的非线性切换流形,与相应的终端滑模控制律来设计了广义双线性系统的终端滑模控制方法,保证了其闭环系统的渐近稳定,并使闭环系统模态能够在有限时间内达到平衡点,实现终端滑动模运动.最后,通过了一个数值算例说明了该方法的有效性.     

Distributed Event-Triggered Tracking Control of Heterogeneous Discrete-Time Multi-Agent Systems with Unknown Parameters

In this paper, a novel design framework is developed to solve the cooperative tracking problem of heterogeneous discrete-time multi-agent systems with unknown agent parameters and directed communication topologies. First, a distributed event-triggered observer is developed to handle the heterogeneity of the multi-agent systems. An event-triggering mechanism is proposed to reduce the amount of data transmission between neighboring agents. Then, based on the proposed observer, a discrete-time distributed model reference adaptive controller is presented to deal with the unknown parameters of the multi-agent systems. It is shown that by using the proposed observer and the model reference adaptive controller, the proposed design framework could achieve output tracking of the unknown multi-agent systems for any communication graph containing a directed spanning tree. Finally, an example is presented to illustrate the effectiveness of the proposed controller.

     

Linear Quadratic Regulation for Discrete-Time Systems with Input Delay: Spectral Factorization Approach

The infinite-horizon linear quadratic regulation （LQR） problem is settled for discretetime systems with input delay. With the help of an autoregressive moving average （ARMA） innovation model, solutions to the underlying problem are obtained. The design of the optimal control law involves in resolving one polynomial equation and one spectral factorization. The latter is the major obstacle of the present problem, and the reorganized innovation approach is used to clear it up. The calculation of spectral factorization finally comes down to solving two Riccati equations with the same dimension as the original systems.     

Control for a Class of Stochastic Mechanical Systems Based on the Discrete-Time Approximate Observer

This paper investigates the observer-based control problem of a class of stochastic mechanical systems. The system is modelled as a continuous-time It o stochastic differential equation with a discrete-time output. Euler-Maruyama approximation is used to design the discrete-time approximate observer, and an observer-based feedback controller is derived such that the closed-loop nonlinear system is exponentially stable in the mean-square sense. Also, the authors analyze the convergence of observer error when the discrete-time approximate observer servers as a state observer for the exact system. Finally, a simulation example is used to demonstrate the effectiveness of the proposed method.     

A Fully Actuated System Approach for Stabilization of Discrete-Time Multiple-Input Nonlinear Systems with Distinct Input Delays

Journal of Systems Science and Complexity - In this paper, the problem of stabilization is considered for discrete-time multiple-input nonlinear systems with distinct input delays law based on the...     

离散神经网络的全局收敛性

应用能量函数,建立了离散的细胞神经网络与离散的Ｈｏｐｆｉｅｌｄ 神经网络全局收敛的充分条件,其结果推广了最近文献中某些已知的结果。     

系统隐喻、系统方法论的系统体系及全面系统干预

本文分析了系统概念和系统工程方法论,并对系统概念及系统方法论的新进展系统隐喻、系统方法论的系统体系及全面系统干预方法论作了评介.     

系统、仿真系统及其理论

主要从基本理论、基本概念、基本方法、演变规律的角度,回顾、分析论述了系统、系统理论、原始系统、仿真系统、相似理论与系统仿真组合理论的基本内容、相互关联和发展概况,从而引出相应结论.     

复杂性组织管理的涵义、特点和形式

复杂性理论引入组织管理是组织管理适应当今时代经济和社会发展的需求,也是当代组织管理理论和实践自身发展的必然趋势。复杂性管理指管理对象的复杂性和应用复杂性理论和方法于管理实践。其基本特点是整体性、系统思考、隐喻方法、学习与适应、自主与协调、悖论式领导。混沌有序组织管理是复杂性组织管理的一种典型形式。     

一种新的趋近律离散滑模控制方法及仿真

利用幂次函数构造了一种新的趋近律离散滑模控制方法,给出了无抖振的理论分析和稳定性证明。在具有传统滑模控制固有强鲁棒性的同时,该方法可以使切换函数无抖振、无正负交替的快速趋近于零。利用倒立摆模型进行了数值仿真,结果表明,该方法控制器的输出、切换函数的值、被控系统的输出均不存在抖振现象,而且被控系统表现出了良好的动态品质。

Abstract：

A new algorithm of the reaching-law discrete-time sliding mode control was designed by using power function.Theory analysis about non-chattering and probative process of stability was given.This algorithm can retain the better robustness of the common discrete-time sliding mode control,at the same time this algorithm can make the value of switch function reach zero speedily.There is no chattering and positive-negative alternation in this process.Numerical value simulation was given by using inverted pendulum model.Simulation results state that there is no chattering hundred-percent in the output of controller,value of switch function,and the output of the controlled system.This algorithm also makes the controlled system achieve excellent dynamic performance.     

Meditations on Systems Thinking, Spiritual Systems, and Deep Ecology

This paper is written for a broad general readership. It presents a prismatic reflection on systemic thinking, Buddhist philosophy, and deep ecology, with the objective of shedding light on world problems and understanding their gravity. Such an inquiry constitutes a formidable spearhead for the betterment of the world, guiding us towards holism, and moving us away from the partial, fragmented, compartmentalized thinking that is prevalent today. Although no deliberate attempt is made to articulate solutions to specific problems, a brief account of current socially engaged action is described.