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本文针对一类Ｉｔｏ型随机非线性动态系统,分别基于微观ＦＰＫ方程和宏观信息熵方法推断系统特性,进而分析系统的熵结构,结果表明,宏观方法不仅能获得与微观方法相似的结果,而且能以统一简洁的方式各类系统,通过对一类非线性动态系统的应用进一步说明宏观信息熵分析方法。 相似文献
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非线性系统研究动态与展望 总被引：5，自引：0，他引：5
本文对近几年非线性控制系统的进展情况作了综合报导。文章共分三个部分:第一部分强调:什么是反馈意义下的非线性系统;第二部分介绍了近几年非线性控制系统研究中较集中的八个方面的问题;第三部对非线性控制理论今后主要研究动向作了预测。 相似文献
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给出一类非线性LC电路的状态分析和数值模拟：将电容的电荷表示为相位角的简谐函数,电路的响应频率表示为相位角关于时间的变化率;以电路的响应频率为未知函数,对状态方程进行近似求解;算出时间随相位角变化的近似关系式;给出电路的相图、电容的电荷以及电感的磁通链随时间变化关系式及数值模拟,结果与数值积分法吻合良好。 相似文献
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本文在文献「１,２」的基础上,对一类仿射非线性随机系统的最小二乘（ＬＳ）自适应控制问题进行了分析,给出了稳定性及收敛速度结果,在这里,我们仅要求非线性函数具有线性增长速度,而无需任何其它结构假设。 相似文献
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非线性时变随机系统状态及参数的实时联合估计 总被引：1，自引：0，他引：1
在文[1]中,我们给出了一种用于一类非线性时变随机系统的带次优渐消因子的扩展卡尔曼滤波器,可以估计出快速变化的系统状态.本文推广了文[1]的结果,使其可处理一般的非线性测量.同时,给出了一种状态及参数的联合估计方法.所做大量仿真研究表明,本文方法具有良好的实时性及动态跟踪性. 相似文献
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一类非线性系统的动态补偿 总被引：2，自引：0，他引：2
本文考察一类非线性控制系统的调节问题。在一些常见的假设条件下,文中给出了动态补偿器的设计方法,这是一种基于状态观测器的补偿装置。结果表明:本文给出的动态补偿器的构造方法便于实际系统设计采用。 相似文献
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考虑带非参数不确定项的随机非线性系统自适应观测器设计问题.不同于已有结果,系统的不确定项无需满足Lipschitz连续性条件,也不必要仅仅是系统输出的函数.通过设计一个带参数自适应律的非线性观测器来重构系统状态,该观测器结构简单目易于实现.应用Lyapunov稳定性理论和随机微分理论证明该观测器是最终有界的,并且它的界可以通过选取适当的参数进行调节.最后,数值仿真结果表明了该观测器的有效性. 相似文献
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Alessandro N.
Vargas Srgio M. Filho Cristiano M. Agulhari Marcio A. F. Montezuma Eduardo F. Costa 《国际强度与非线性控制杂志
》2020,30(13):5122-5133
》2020,30(13):5122-5133
This article presents conditions to assure the second‐moment stability for a class of nonlinear Markov jump systems. The main assumption requires that the control and nonlinear terms form orthogonal vectors, a novel condition in the context of Markov jump systems. The second‐moment stability is verified through linear matrix inequalities—the conditions account the case in which the Markovian mode is either accessible or inaccessible to the controller. A real‐time automotive application illustrates the potential benefits of our approach. 相似文献
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In this article, the mean-square filtering problem for polynomial system states over polynomial observations is studied proceeding from the general expression for the stochastic Ito differentials of the mean-square estimate and the error variance. In contrast to the previously obtained results, this article deals with the general case of nonlinear polynomial states and observations. As a result, the Ito differentials for the mean-square estimate and error variance corresponding to the stated filtering problem are first derived. The procedure for obtaining an approximate closed-form finite-dimensional system of the filtering equations for any polynomial state over observations with any polynomial drift is then established. In the example, the obtained closed-form filter is applied to solve the third-order sensor filtering problem for a quadratic state, assuming a conditionally Gaussian initial condition for the extended third-order state vector. The simulation results show that the designed filter yields a reliable and rapidly converging estimate. 相似文献
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This paper is devoted to the problem of global stabili sation for a class of switched high-order stochastic nonlinear systems under arbitrary switchings. By extending the adding -a -power -integrator technique and choosing an appropriate common Lyapunov function, a common state-feedback controller is explicitly constructed to render the closed-loop system globally asymptotically stable in probability. The effectiveness of the proposed approach is demonstrated by a simulation example. 相似文献
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This paper considers a concrete stochastic nonlinear system with stochastic unmeasurable inverse dynamics. Motivated by the concept of integral input-to-state stability （iISS） in deterministic systems and stochastic input-to-state stability （SISS） in stochastic systems, a concept of stochastic integral input-to-state stability （SiISS） using Lyapunov functions is first introduced. A constructive strategy is proposed to design a dynamic output feedback control law, which drives the state to the origin almost surely while keeping all other closed-loop signals almost surely bounded. At last, a simulation is given to verify the effectiveness of the control law. 相似文献
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Yûki Nishimura 《国际强度与非线性控制杂志
》2016,26(18):4126-4147
》2016,26(18):4126-4147
In this paper, we claim the availability of deterministic noises for stabilization of the origins of dynamical systems, provided that the noises have unbounded variations. To achieve the result, we first consider the system representations of rough systems based on rough path analysis; then, we provide the notion of asymptotic stability for rough systems to analyze the stability for the systems. In the procedure, we also confirm that the system representations include stochastic differential equations; we also found that asymptotic stability for rough systems is the same property as uniform almost sure asymptotic stability provided by Bardi and Cesaroni. After the discussion, we confirm that there is a case that deterministic noises are capable of making the origin become asymptotically stable for rough systems while stochastic noises do not achieve the same stabilization results. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Feng Zhao Han Yao Xiangyong Chen Jinde Cao Jianlong Qiu 《Asian journal of control》2019,21(1):397-404
This paper concerns the problem of robust H∞ sliding mode control for a class of singular stochastic nonlinear systems. Integral sliding mode control is developed to deal with this problem. Based on the integral sliding surface of the design and linear matrix inequality, a sufficient condition which guarantees the sliding mode dynamics is asymptotically mean square admissible and has a prescribed H∞ performance for a class of singular stochastic nonlinear systems is proposed. Furthermore, a sliding mode control law is synthesized such that the singular stochastic nonlinear system can be driven to the sliding surface in finite time. Finally, a numerical example is proposed to illustrate the effectiveness of the given theoretical results. 相似文献
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This paper investigates the problem of global output feedback stabilisation for a class of upper triangular stochastic nonlinear systems which are neither necessarily feedback linearisable nor affine in the control input. Based on the adding of a power integrator technique and homogeneous domination approach, an output feedback controller is explicitly constructed to ensure that the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability. A simulation example is provided to demonstrate the effectiveness of the design scheme. 相似文献
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This paper is devoted to the study of the connections among risk-sensitive stochastic optimal control, dynamic game optimal control, risk-neutral stochastic optimal control and deterministic optimal control in a nonlinear, discrete-t ime context with complete state information. The analysis worked out sheds light on the profound links among these control strategies, which remain hidden in the linear context. In particular, it is shown that, under suitable parameterizations, risk-sensi tive control can be regarded as a control methodology which combines features of both stochastic risk-neutral control and deterministic dynamic game control. 相似文献
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This paper addresses several important issues including stochastic passivity, feedback equivalence and global stabilization for a class of nonlinear stochastic systems. Based on a nonlinear stochastic Kalman–Yacubovitch–Popov (KYP) lemma, we investigate the relationship between a stochastic passive system and the corresponding zero‐output system. Different from the deterministic case, it is shown for the first time that feedback equivalence to a stochastic passive system requires a strong minimum‐phase condition, not the minimum‐phase one. Following the stochastic passivity theory, global stabilization results are established for a class of nonlinear stochastic systems with relative degree 1≤r<n. An example is presented to illustrate the effectiveness of our results. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献