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1.
Global Output‐Feedback Stabilization for Stochastic Nonlinear Systems with Function Control Coefficients
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This paper investigates the global output‐feedback stabilization for a class of stochastic nonlinear systems with function control coefficients. Notably, the systems in question possess control coefficients that are functions of output, rather than constants; hence, they are different from the existing literature on stochastic stabilization. To solve the control problem, an appropriate reduced‐order observer is introduced to reconstruct the unmeasured system states before a smooth output‐feedback controller is designed using the backstepping method, which guarantees that the closed‐loop system is globally asymptotically stable in probability. This paper combines the related results in the deterministic and stochastic setting and gives the first treatment on the global output‐feedback stabilization for the stochastic nonlinear systems with function control coefficients. A simulation example is given also to illustrate the effectiveness of the proposed approach. 相似文献
2.
Almost Disturbance Decoupling for a Class of Nonlinear Systems Subject to Time‐Delays Via Sampled‐Data Output Feedback Control
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This paper considers the problem of almost disturbance decoupling (ADD) via sampled‐data output feedback control for a class of uncertain nonlinear systems subject to time‐delays. Based on output feedback domination approach, a sampled‐data output feedback controller is designed to globally stabilize the system under a lower‐triangular linear growth condition. Gronwall‐Bellman‐like inequality and inductive method are introduced to estimate the state growth in the presence of time‐delays, uncertain nonlinearities and unknown disturbances. The proposed controller can attenuate the influence of disturbances on the output to an arbitrary degree in the L2 gain sense. Finally, simulation results show the effectiveness of the control method. 相似文献
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Distributed Observer‐based Stabilization of Nonlinear Multi‐agent Systems with Sampled‐data Control
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In this paper, the distributed observer‐based stabilization problem of multi‐agent systems under a directed graph is investigated. Distributed observer‐based control protocol with sampled‐data information is proposed. The dynamics of each agent contain a nonlinear part, which is supposed to be general Lipschitz. In order to stabilize the states of the whole network, all the nodes utilize the relative output estimation error at sampling instants and only a small fraction of nodes use the absolute output estimation error additionally. By virtue of the input‐to‐state stability (ISS) property and the Lyapunov stability theory, an algorithm to design the control gain matrix, observer gain matrix, coupling strength as well as the allowable sampling period are derived. The conditions are in the form of LMIs and algebraic inequality, which are simple in form and easy to verify. Some further discussions about the solvability of obtained linear matrix inequalities (LMIs) are also given. Lastly, an example is simulated to further validate the obtained results. 相似文献
5.
Semi‐global stabilization via linear sampled‐data output feedback for a class of uncertain nonlinear systems
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This paper develops a systematic design scheme to construct a linear sampled‐data output feedback controller that semi‐globally asymptotically stabilizes a class of uncertain systems with both higher‐order and linear growth nonlinearities. To deal with the uncertain coefficients in the systems, a robust state feedback stabilizer and a reduced‐order sampled‐data observer, both in the linear form, are constructed and then integrated together. The semi‐global attractivity and local stability are delicately proved by carefully selecting a scaling gain using the output feedback domination approach and a sampling period sufficiently small to restrain the state growth under a zero‐order‐holder input. Copyright © 2014 John Wiley & Sons, Ltd. 相似文献
6.
This paper addresses the problem of semi‐global stabilization by output feedback for a class of nonlinear systems whose output gains are unknown. For each subsystem, we first design a state compensator and use the compensator states to construct a control law to stabilize the nominal linear system without the perturbing nonlinearities. Then, combining the output feedback domination approach with block‐backstepping scheme, a series of homogeneous output feedback controllers are constructed recursively for each subsystem and the closed‐loop system is rendered semi‐globally asymptotically stable. 相似文献
7.
Fractional‐Order Dynamic Output Feedback Sliding Mode Control Design for Robust Stabilization of Uncertain Fractional‐Order Nonlinear Systems
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Hamid Reza Momeni 《Asian journal of control》2014,16(2):489-497
A robust fractional‐order dynamic output feedback sliding mode control (DOF‐SMC) technique is introduced in this paper for uncertain fractional‐order nonlinear systems. The control law consists of two parts: a linear part and a nonlinear part. The former is generated by the fractional‐order dynamics of the controller and the latter is related to the switching control component. The proposed DOF‐SMC ensures the asymptotical stability of the fractional‐order closed‐loop system whilst it is guaranteed that the system states hit the switching manifold in finite time. Finally, numerical simulation results are presented to illustrate the effectiveness of the proposed method. 相似文献
8.
In this paper, output feedback control is presented for a general class of uncertain nonaffine nonlinear systems, that does not rely on state estimation. Under the condition that only the system output is available for feedback, a dynamic linear filter is built to estimate unknown nonlinearities, and an output feedback controller is developed to stabilize the systems by utilizing the estimation to compensate for the unknown nonlinearities. One important feature of the proposed control is that the controller is developed under mild conditions with simple control algorithms, which is of great significance in engineering practice. Simulation results show the effectiveness of the control approach. 相似文献
9.
考察同时含有匹配和非匹配不确定性的一类非线性系统的输出反馈镇定问题。首先讨论仿射非线性的情形,然后讨论一类非仿射非线性情形。分别为所论系统构造了输出反馈动态补偿器,该补偿器可以实现对所论非线性不确定系统的动态输出反馈指数的镇定。 相似文献
10.
本文研究了有非匹配不确定性的SISO及MIMO仿射非线性系统的动态输出反馈镇定问题,在要求标准系统为双曲极小相位及系统不确定部分满足一定条件下,构造出了输出反馈形式的动态补偿器,该动态补偿器使相应闭环系统在Lyapunov意义下全局这稳定、数值仿真结果令人满意。 相似文献
11.
线性时变不确定离散系统的输出反馈鲁棒镇定研究 总被引:2,自引:0,他引:2
研究线性时变不确定离散系统的输出反馈鲁棒镇定问题。得到的动态输出反馈补偿器确保对于所有容许不确定性可以镇定被控对象。推导出动态输出反馈补偿器存在的充分条件。最后通过求解一个等价的线性时不变离散系统的标准H^∞输出反馈控制问题,构造出线性时变不确定离散系统的动态输出反馈补偿器的系统矩阵。 相似文献
12.
非线性系统的间接自适应模糊输出反馈监督控制 总被引:1,自引:0,他引:1
In this paper, an indirect adaptive fuzzy output feedback controller with supervisory mode for a class of unknown nonlinear systems is developed. The proposed approach does not need the availability of the state variables, moreover, a supervisory controller is appended to the adaptive fuzzy controller to force the state to be within the constraint set. Therefore, if the adaptive fuzzy controller cannot maintain the stability, the supervisory controller starts to work to guarantee stability. On the other hand, if the adaptive fuzzy controller works well, the supervisory controller will be deactivated. The overall adaptive fuzzy control scheme guarantees the stability of the whole closed-loop systems. The simulation results confirm the effectiveness of the proposed method. 相似文献
13.
Chee‐Fai Yung 《Asian journal of control》2013,15(5):1489-1495
In this paper, we consider the H∞ control problem for general nonlinear systems under sampled measurements. Sufficient conditions for the existence of H∞ output feedback controllers are derived. The major contribution of this paper is to characterize a family of H∞ output feedback controllers for nonaffine nonlinear systems under sampled measurements. 相似文献
14.
TONG Shao-Cheng CHAI Tian-You 《自动化学报》2005,(2)
In this paper, an indirect adaptive fuzzy output feedback controller with supervisory mode for a class of unknown nonlinear systems is developed. The proposed approach does not need the availability of the state variables, moreover, a supervisory controller is appended to the adaptive fuzzy controller to force the state to be within the constraint set. Therefore, if the adaptive fuzzy controller cannot maintain the stability, the supervisory controller starts to work to guarantee stability. On the other hand, if the adaptive fuzzy controller works well, the supervisory controller will be de-activated. The overall adaptive fuzzy control scheme guarantees the stability of the whole closed-loop systems. The simulation results confirm the effectiveness of the proposed method. 相似文献
15.
一类模糊非线性系统的直接鲁棒自适应输出反馈控制 总被引:3,自引:0,他引:3
针对一类未知非线性系统,利用模糊逻辑系统、H^∞控制和高增益观测器,提出一种模糊直接鲁棒自适应输出反馈控制方法。证明了所设计的输出反馈控制方法不但能保证闭环控制系统稳定,而且可获得在状态反馈控制器下的性能。仿真结果进一步验证了所提出方法的有效性。 相似文献
16.
一类非线性不确定性系统基于状态观测器的输出反馈镇定控制设计 总被引:2,自引:0,他引:2
The output-feedback stabilization control problem is investigated for a class of nonlinear uncertain systems. Based on the multivariable analog of circle criterion, an observer is designed to estimate the system states and hence the dynamical equations that the estimation error satisfies are derived first. Then, by using integral backstepping approach together with completing square technique, the output-feedback stabilization control is constructively designed such that the closedloop system is asymptotically stable. Finally, an example is given to illustrate the main results of this paper. 相似文献
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18.
Based on design of an observer, the issue of dynamic output feedback control is studied for uncertain discrete systems with delays. A comparison theorem is given for nonlinear uncertain discrete systems with multiple time delays. Based on the comparison theorem with some inequalities, some delay-independent sufficient conditions for the robust stabilization of the systems are presented by means of output feedback. 相似文献
19.
LIU Bi-Yu~ 《自动化学报》2005,(5)
Based on design of an observer,the issue of dynamic output feedback control is studied for uncertain discrete systems with delays.A comparison theorem is given for nonlinear uncertain discrete systems with multiple time delays.Based on the comparison theorem with some inequalities, some delay-independent sufficient conditions for the robust stabilization of the systems are presented by means of output feedback. 相似文献
20.
非线性微分——代数系统的输出反馈镇定控制 总被引:1,自引:0,他引:1
对满足线性增长条件的非线性微分--代数系统, 研究了其输出反馈镇定控制问题. 通过将状态观测器与控制器耦合在一起设计, 构造出一种非初始化的线性高增益状态观测器, 具有良好的鲁棒性. 基于反推设计方法构造出一个线性的动态输出补偿器, 使得整个闭环系统是渐近稳定的. 仿真结果验证了本文所提控制方法的有效性. 相似文献