离散时间直接型模型参考自适应控制

本文针对一类离散时间系统, 研究了具有规范化自适应律的直接型模型参考自适应控制 (MRAC). 我们重新证明了离散时间系统的输入与输出间的 Lp 范数与 L2δ 范数关系特性和离散时间的交换引理 1 与引理 2. 并建立了离散时间自适应律的性质, 定义了规范化信号, 把闭环系统中的所有信号与其建立联系. 从而, 正如连续时间系统一样, 以一种系统化的方法严格分析了离散时间 MRAC 方案的稳定性与收敛性.     

工业机器人的自校正极点配置控制法

本文提出一种自校正极点配置法进行机器人机械手的位置和速度控制。首先将复杂的机械手系统由一组离散时间的差分方程离散化;然后根据所估计的参数用极点配置法来设计自适应控制器;最后给出了计算机的仿真结果。     

多人非合作随机自适应博弈

本文考虑系数未知的离散时间线性随机系统多人非合作的自适应博弈问题,每个参与者运用最小二乘算法和"必然等价原则"来设计博弈策略组合,目的是自适应优化自身的一步超前收益函数.本文证明此自适应策略组合使得闭环系统全局稳定,并且在一定意义下是该博弈问题的渐近纳什均衡解.     

多人非合作随机自适应博弈（英文）

本文考虑系数未知的离散时间线性随机系统多人非合作的自适应博弈问题,每个参与者运用最小二乘算法和"必然等价原则"来设计博弈策略组合,目的是自适应优化自身的一步超前收益函数.本文证明此自适应策略组合使得闭环系统全局稳定,并且在一定意义下是该博弈问题的渐近纳什均衡解.     

离散时间MRACS的超稳定性设计方法

本文经过重新定义增广误差信号,给出了有延时情况下线性时不变离散时间单输入单输出被控对象的模型参考自适应控制系统的超稳定性设计方法.文中的算法具有实时性,尤其适用于实时控制.     

一类非线性时变系统的全系数自适应控制方法

文中针对一类连续时间非线性时变系统的采样自适应控制问题,给出了一种离散化建模方法,推导得到了相应的离散化模型的系数表达式及变化规律,在此基础上设计了基于该离散化模型的全系数自适应控制方法并给出了保证闭环系统有界稳定的充分条件.数学仿真结果表明文中提出的自适应控制方法可以取得满意的控制性能.最后,对一类高阶非线性时变系统采用低阶全系数自适应控制方法的可行性和条件进行了初步的探讨.     

一种基于MT-波波器的连续自适应反推控制的数字实现方法

研究了基于MT-滤波器的连续自适应反推控制的数字实现问题.首先用δ-算子将连 续系统离散化.利用MT-滤波器和反推设计方法给出了自适应反推控制器的设计,然后分别 分析了离散和混杂自适应控制系统的稳定性和跟踪性能.同已有文献相比,本文的主要工作在 于:1)基于MT-滤波器的离散自适应反推控制器的设计;2)误差系统状态向量的构造.由于 MT-滤波器的阶次比K-滤波器的阶次低,因此,误差系统的构造更加复杂,这也使得适应系统 的稳定性分析更加困难.     

基于小波萎缩法的非线性自适应数字滤波器的设计

本文中,将小波萎缩法应用于非线性自适应数字滤波器的设计,介绍利用基于离散正交小波变换的小波萎缩迭代滤波方法,设计出非线性自适应小波萎缩滤波器的模型文中给出了非线性自适应小波萎缩滤波器的一个消噪实例,证实了非线性自适应小波萎缩滤波器鲁棒性好的特性。     

单参数离散时间非线性系统的可镇定性定理

本文对基本的离散时间非线性单参数随机系统建立了可镇定性定理. 该定理推进了文献[1]的结果, 进一步完 善了关于离散时间自适应控制的反馈能力刻画. 离散时间单参数系统可镇定的一个重要非线性临界常数是4, 用以刻画 关于幂函数类系统的反馈能力. 而作为本文定理的应用, 本文对一类典型的单参数离散时间非线性随机系统发现了新的 可镇定临界常数2.     

基于小波萎缩法的非线性自适应数字滤波器的设计

本文中,将小波萎缩法应用于非线性自适应数字滤波器的设计,介绍利用基于离散正交小波变换的小波萎缩迭代滤波方法,设计出非线性自适应小波萎缩滤波器的模型.文中给出了非线性自适应小波萎缩滤波器的一个消噪实例,证实了非线性自适应小波萎缩滤波器鲁棒性好的特性.     

AN LMI APPROACH TO ROBUST STABILITY OF UNCERTAIN DISCRETE SINGULAR TIME‐DELAY SYSTEMS

The problem of robust stability analysis for uncertain discrete singular time‐delay systems is investigated in this paper. By decomposing the nominal system into slow and fast subsystems, a linear matrix inequality (LMI) condition is proposed for a discrete singular time‐delay system to be regular, causal and stable. Based on this, an LMI criterion is obtained for robust stability of an uncertain discrete singular time‐delay system. Two numerical examples are provided to demonstrate the feasibility of the proposed approach.     

Discrete Time Stochastic Petri Nets

Basic graph models of processes, such as Petri nets, have usually omitted the concept of time as a parameter. Time has been added to the Petri net model in two ways. The timed Petri net (TPN) uses a fixed number of discrete time intervals. The stochastic Petri net (SPN) uses an exponentially distributed random variable. In this paper, a discrete time stochastic Petri model is described. These discrete time SPN's fill the gap between TPN and normal SPN. However, the use of discrete time complicates the SPN model in that more than one transition may fire at a time step. Finally, an example of a live and bounded Petri net which has nonempty, disjoint, recurrent subsets of markings is given.     

Multiple time scale decomposition of discrete time Markov chains

The multiple time scale decomposition of discrete time, finite state Markov chains is addressed. In [1, 2], the behavior of a continuous time Markov chain is approximated using a fast time scale, ε-independent, continuous time process, and a reduced order perturbed process. The procedure can then be iterated to obtain a complete multiple time scale decomposition. In the discrete time case presented in this paper, the basic approximation has a ‘hybrid’ form. In this form, the fast time scale behavior is approximated using an ε-independent, discrete time Markov chain, and the slow behavior is captured by a perturbed, continuous time process. Further time scale decomposition then involves the continuous time procedure in [1, 2]. This extension to discrete time chains bridges previous multiple time scale decomposition results, which have dealt exclusively with either continuous time or discrete time processes, and provides a uniform framework for the analysis of both types of systems.     

Uncertain Saturated Discrete‐Time Sliding Mode Control for A Wind Turbine Using A Two‐Mass Model

The aim of this paper is to propose a new design variable speed wind turbine control by discrete‐time sliding mode approach. The control objective is to obtain a maximum extraction of wind energy, while reducing mechanical loads and rotor speed tracking combined with an electromagnetic torque. For this application, we designed a discrete time sliding mode control using the equivalent discrete time reaching law. Furthermore, a systematic and improved design procedure for uncertainties discrete‐time sliding mode control (SMC) with saturation problem is provided in this paper. The saturation constraint is reported on inputs vector. LMI technique and polytopic models are used in the design of the switching surface. To achieve some performance requirements and good robustness, in the sliding mode, the pole clustering method is investigated. Based on the unit vector control approach, a robust control is developed, then, to direct and maintain the system states onto the sliding manifold in finite time. Finally, a systematic design procedure for DSMC required to achieve a given performance level is provided and its effectiveness is varied by applying it to variable speed wind turbine systems.     

Energy Levels of “Hydrogen Atom” in Discrete Time Dynamics

We analyze dynamical consequences of a conjecture that there exists a fundamental (indivisible) quant of time. In particular we study the problem of discrete energy levels of hydrogen atom. We are able to reconstruct potential which in discrete time formalism leads to energy levels of unperturbed hydrogen atom. We also consider linear energy levels of quantum harmonic oscillator and show how they are produced in the discrete time formalism. More generally, we show that in discrete time formalism finite motion in central potential leads to discrete energy spectrum, the property which is common for quantum mechanical theory. Thus deterministic (but discrete time!) dynamics is compatible with discrete energy levels.     

Reachable Set Estimation for Discrete‐Time Singular Systems

This paper is concerned with the problem of reachable set estimation for discrete‐time singular systems with bounded input disturbances. Based on the Lyapunov method, a new sufficient condition is established in terms of linear matrix inequality (LMI) to guarantee that the reachable set of discrete‐time singular system is bounded by the intersection of ellipsoids. Then the result is extended to the problem for discrete‐time singular systems with time‐varying delay by utilizing the delay‐dependent approach and free weighting matrices. Two numerical examples are provided to demonstrate the effectiveness of the obtained results proposed in this paper.     

Estimation of system parameters; with unknown inputs using steepest descent technique†

In this paper, an estimation theory developed in Desai (1971) for discrete time is extended further to include also the unknown inputs or dynamic noise in continuous or in discrete time.     

Robust Stability and Stabilization Criteria for Discrete Singular Time‐Delay LPV Systems

This paper is concerned with establishing robust stability and stabilization criteria for discrete singular time‐delay linear parameter varying (LPV) systems. Firstly, a robust stability criterion is obtained for this class of systems by a delay‐partition approach, and thereby a less conservative sufficient condition which guarantees discrete singular time‐delay LPV systems to be admissible is given. Secondly, a class of state feedback controllers for stabilizing discrete singular time‐delay LPV systems is designed. Finally, compared with existing results, the numerical results of several examples illustrate the effectiveness of the approach proposed in this paper. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

GENERALIZED QUADRATIC STABILIZATION FOR DISCRETE‐TIME SINGULAR SYSTEMS WITH TIME‐DELAY AND NONLINEAR PERTURBATION

This paper discusses a generalized quadratic stabilization problem for a class of discrete‐time singular systems with time‐delay and nonlinear perturbation (DSSDP), which the satisfies Lipschitz condition. By means of the S‐procedure approach, necessary and sufficient conditions are presented via a matrix inequality such that the control system is generalized quadratically stabilizable. An explicit expression of the static state feedback controllers is obtained via some free choices of parameters. It is shown in this paper that generalized quadratic stability also implies exponential stability for linear discrete‐time singular systems or more generally, DSSDP. In addition, this new approach for discrete singular systems (DSS) is developed in order to cast the problem as a convex optimization involving linear matrix inequalities (LMIs), such that the controller can stabilize the overall system. This approach provides generalized quadratic stabilization for uncertain DSS and also extends the existing robust stabilization results for non‐singular discrete systems with perturbation. The approach is illustrated here by means of numerical examples.     

变计时过程ö变迁网模型及其应用研究

基于过程运行的离散标识(逻辑变量)和剩余时间连续标识(时间变量)，提出一种新的混合标识过程／变迁网——变计时过程／变迁网模型．基于该模型，混杂动力学系统离散事件的实时监控、连续子过程的实时调度等问题可得到有效解决．