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1.
Meng Yuan 《Asian journal of control》2013,15(4):1168-1177
This paper presents new exponential stability and delayed‐state‐feedback stabilization criteria for a class of nonlinear uncertain stochastic time‐delay systems. By choosing the delay fraction number as two, applying the Jensen inequality to every sub‐interval of the time delay interval and avoiding using any free weighting matrix, the method proposed can reduce the computational complexity and conservativeness of results. Based on Lyapunov stability theory, exponential stability and delayed‐state‐feedback stabilization conditions of nonlinear uncertain stochastic systems with the state delay are obtained. In the sequence, the delayed‐state‐feedback stabilization problem for a nonlinear uncertain stochastic time‐delay system is investigated and some sufficient conditions are given in the form of nonlinear inequalities. In order to solve the nonlinear problem, a cone complementarity linearization algorithm is offered. Mathematical and/or numerical comparisons between the proposed method and existing ones are demonstrated, which show the effectiveness and less conservativeness of the proposed method. 相似文献
2.
非线性控制系统的特性（Ⅲ） 总被引：1，自引：1，他引：1
本文采用线性系统理论比较的方法来阐述非线性控制系统理论。文章通过一些例子来分析非线性控制系统的能控性、能观性、抗干扰性、解耦和稳定性等方面的特性，从而进一步说明非线性控制系统理论在提法、论述和结论上的特点。 相似文献
3.
This paper considers the problem of global finite‐time stabilization in probability for stochastic high‐order nonlinear systems in which the power order is greater than or equal to one and the drift and diffusion terms satisfy weaker growth conditions. Based on stochastic Lyapunov theorem on finite‐time stability, via the combined adding one power integrator and sign function method, constructing a Lyapunov function and verifying the existence and uniqueness of solution, a continuous state feedback controller is designed to guarantee the closed‐loop system globally finite‐time stable in probability. 相似文献
4.
Jenq‐Lang Wu 《Asian journal of control》2009,11(3):295-301
A controller design method is provided to simultaneously stabilize a collection of nonlinear control systems in canonical form. It is shown that, under a mild assumption, any collection of nonlinear systems in canonical form can be simultaneously stabilized by one continuous state feedback controller. A constructive universal formula is presented explicitly. An illustrative example is given to demonstrate the validity of the method. Copyright © 2009 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society 相似文献
5.
This paper poses and solves a new problem of state feedback stabilization for a class of high‐order stochastic nonlinear systems in which the power order restriction and growth condition are relaxed to a more general form. Based on the ideas of the homogeneous systems theory and the adding of a power integrator technique, a state feedback controller is constructed to ensure that the equilibrium at the origin of the closed‐loop system is globally asymptotically stable in probability and that the problem of inverse optimal stabilization in probability is solved. The efficiency of the state feedback controller is demonstrated by a simulation example. Copyright © 2011 John Wiley & Sons, Ltd. 相似文献
6.
This paper proposes a novel approach to robust backstepping for global stabilization of uncertain nonlinear systems via output feedback. The design procedure developed in this paper is based on the concept of state‐dependent scaling, which handles output‐feedback stabilization problems of strict‐feedback systems with various structures of uncertainties in a unified way. The proposed method is suitable for numerical computation. The theory of the method employs the Schur complements formula instead of Young's inequality and completing the squares. This paper shows a condition of allowable uncertainty size under which an uncertain system is globally stabilized by output feedback. A class of systems is shown to be always globally stabilizable for arbitrarily large nonlinear size of uncertainties. A recursive procedure of robust observer design for such a class of uncertain systems is presented. Copyright © 2000 John Wiley & Sons, Ltd. 相似文献
7.
In this paper, we investigate the problem of global output feedback stabilization for a class of planar nonlinear systems under a more general growth condition, which encompasses both lower‐order and higher‐order state growths with output‐dependent rates. For more accurate estimation, two new observers with nonlinear gains are constructed to estimate the states on the lower‐order and higher‐order scales, respectively. The estimates produced from the dual‐observer are used delicately in the output feedback control law with both lower‐order and higher‐order modes. The overall stability of the system is guaranteed by rigorously choosing these nonlinear gains in the control law and the dual‐observer. 相似文献
8.
Fernando Ornelas‐Tellez Alma Y. Alanis Jorge D. Rios Mario Graff 《Asian journal of control》2019,21(3):1216-1227
9.
For a class of high‐order stochastic nonlinear systems with stochastic inverse dynamics which are neither necessarily feedback linearizable nor affine in the control input, this paper investigates the problem of state‐feedback stabilization for the first time. Under some weaker assumptions, a smooth state‐feedback controller is designed, which ensures that the closed‐loop system has an almost surely unique solution on [0, ∞), the equilibrium at the origin of the closed‐loop system is globally asymptotically stable in probability, and the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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Chenghui Zhang Le Chang Lantao Xing Xianfu Zhang 《IEEE/CAA Journal of Automatica Sinica》2023,10(2):403-410
This paper presents a novel fixed-time stabilization control(FSC) method for a class of strict-feedback nonlinear systems involving unmodelled system dynamics. The key feature of the proposed method is the design of two dynamic parameters.Specifically, a set of auxiliary variables is first introduced through state transformation. These variables combine the original system states and the two introduced dynamic parameters, facilitating the closed-loop system stability analyses. Then, the two dyna... 相似文献
12.
This paper investigates the simultaneous stabilization of a collection of continuous single‐input non‐linear stochastic systems, with coefficients that are not necessarily locally Lipschitz. A sufficient condition for the existence of a continuous simultaneously stabilizing feedback control is proposed — it is based on the generalized stochastic Lyapunov theorem and on the technique of stochastic control Lyapunov functions. This condition is also necessary, provided that the system's coefficients satisfy some regularity conditions. Moreover, the proposed feedback can be chosen to be bounded under the assumption that appropriate control Lyapunov functions are known. All the proposed simultaneously stabilizing state feedback controllers are explicitly constructed. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed approach. 相似文献
13.
This paper studies state feedback stabilization over finite‐state fading channels, where the stochastic characteristic of time‐varying fading channels is assumed to be driven by a finite‐state random process. The finite‐state process is used to represent different channel fading amplitudes and/or to model different configurations of the overall physical environment. A series of necessary and sufficient conditions are given for stabilization over finite‐state Markov fading channels. In the case of finite‐state independent and identially distributed fading channels, explicit network requirements for stabilization are presented for both single‐input case and multi‐input case. It is shown that our results cover some existing results as special cases. Finally, the results are applied to stabilization of a single‐input plant over a Gilbert‐Elliott channel demonstrated by numerical simulations. 相似文献
14.
比例时滞线性系统的反馈镇定 总被引：1，自引：0，他引：1
研究了比例时滞线性系统的反馈镇定问题．利用标准反馈控制与时滞反馈控制实现系统不稳定平衡点的镇定．构造合适的李亚普诺夫泛函,得出了闭环系统稳定的几个充分条件．通过实例说明了方法的有效性． 相似文献
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This article is concerned with the global stabilization problem of a family of feedforward nonlinear time‐delay systems whose linearized system consists of multiple distinct oscillators. To fully utilize the delayed information and maintain the state decoupling property in the controller design, the considered nonlinear feedforward system is first transformed into a new system which contains time delays in both its input and states based on a novel model transformation containing time delays, and then the stabilizing saturated controller for the transformed system is designed based on the recursive design method. Meanwhile, explicit stability conditions are also provided. When the linearized system is a cascade of multiple oscillators and multiple integrators, a modified saturated feedback control utilizing not only the current state but also the delayed state is also established for the corresponding global stabilization problem. Two examples, including a practical one, are given to show the effectiveness and superiority of the proposed approaches. 相似文献
17.
In this paper, the problem of simultaneous stabilization in probability by state feedback is investigated for a class of stochastic nonlinear systems whose drift and diffusion terms are dependent on the control and for which classical methods are not applicable. Under the assumption that a collection of stochastic control Lyapunov functions (SCLFs) is known and based on the generalized stochastic Lyapunov theorem, we derive sufficient conditions for the simultaneous stabilization in probability by a continuous state feedback controller that we explicitly compute. We also derive a necessary condition when the system coefficients satisfy some regularity conditions. This work generalizes previous results on the simultaneous stabilization of stochastic nonlinear systems. The obtained results are illustrated by a numerical example. 相似文献
18.
Jingjing Guo Pengpeng Zhang Tengfei Liu Zhong‐Ping Jiang 《Advanced Control for Applications》2020,2(2)
This article studies the event‐triggered stabilization problem for a class of nonlinear systems subject to time delays and external disturbances. A new event trigger is developed by introducing an auxiliary variable to estimate the influence of external disturbances, time delays and the unmeasured states, such that infinitely fast sampling is avoided. The time‐delay version of the nonlinear small‐gain theorem is employed to guarantee the stability of the closed‐loop event‐triggered system. The new design is applied to solving the event‐triggered output‐feedback control problem for a class of nonlinear uncertain systems in the output‐feedback form. 相似文献
19.
This paper addresses the problem of global output feedback stabilization for a class of upper‐triangular systems with perturbing nonlinearities that are higher‐order in the unmeasurable states. A new design method based on the homogeneous domination approach and finite‐time stabilization technique is developed, which leads to global output feedback stabilizers for the upper‐triangular nonlinear systems under a homogeneous growth condition. A new perspective shown in this paper is that the finite‐time stabilization, in addition to its faster convergence rate, can also be utilized to handle control problems that were previously unresolved under asymptotic stabilization. Copyright © 2006 John Wiley & Sons, Ltd. 相似文献
20.
Achim Ilchmann 《Dynamics and Control》1997,7(3):199-213
Mårtensson's result The order of a stabilizing regulator issufficient a priori information for adaptive stabilization is proved to bevalid also for a class of nonlinear, time–varying systems and thefeedback strategy is simplified. 相似文献