一类不确定非线性系统的输出反馈半全局镇定

研究了一类不确定非线性系统的输出反馈半全局镇定问题. 不同于现有文献,本文研究的控制系统具有更强的非线性和未知控制系数,这增加了设计输出反馈控制器的难度. 基于反推方法和输出反馈占优方法,设计了输出反馈半全局控制器. 通过选取适当的设计参数,该控制器可以保证闭环系统的半全局渐近稳定. 仿真实例验证了理论结果的有效性.     

非线性大系统的分散输出反馈半全局鲁棒镇定

从半全局镇定角度研究非线性大系统的分散输出反馈鲁棒镇定问题．对一类满足新型增长条件的非线性大系统, 给出了分散输出反馈半全局鲁棒镇定控制器的设计方法．对任意给定状态空间的紧子集, 可经此方法设计分散输出反馈控制器, 使受控大系统在原点是渐近稳定的同时吸引域包含指定的紧子集．     

带有不确定性参数的多变量非线性系统的半全局实用镇定

研究一类含有零动态和不确定性参数的多输入多输出非线性系统的镇定问题,通过构造一个组合Lyapunov函数,对非线性动态部分设计了一个控制器可半全局实用镇定整个闭环系统的平衡点.仿真实例说明了所采用方法的有效性.     

一类非线性系统的输出反馈半局鲁棒镇定

从半局镇定角度研究了一类非线性系统的输出反馈镇定问题,这类系统具有较强的非线性增长特征.利用高增益观测器,把非分离设计原则应用于输出反馈半局镇定控制器设计.在不需系统具有一个一致完全可观状态反馈控制器情况下,给出了输出反馈控制器的设计方法.对任意给定紧子集,所设计的反馈控制器使闭环系统是渐近稳定的且吸引域包含指定的紧子集.最后的仿真实例说明了设计方法的有效性.     

一类不确定仿射非线性系统的动态输出反馈全局镇定

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。     

一类线性不可观非线性系统的动态输出反馈镇定

本文研究一类不可观非线性系统的动态输出反馈镇定,基于逼近渐近稳定性的概念,给出了动态输出反馈可镇定的充分条件,本文主要结果的直接推论是零动太逼近渐近稳定的最小相位系统能用动态输出反馈镇定,本文的方法也能处理非最小相位系统。     

非线性最小相位系统输出反馈镇定的一个注记

讨论了单输入单输出非线性最小相位系统的动态输出反馈镇定.通过加积分器和非线性变换将系统化为一种标准形式,并基于标准形式的线性部分提出了动态补偿器的设计方法.然后根据得到的中心流形的表达式和稳定性定理,在零动态流形为一维时,证明了闭环系统的渐近稳定性,最后给出了一个零动态不具有齐次渐近稳定性但仍能动态输出反馈镇定的非线性最小相位系统的例子.     

非线性随机时滞系统输出反馈镇定

研究了非线性随机时滞系统的镇定问题，运用Backstepping递推设计方法，得到了使得非线性随机时滞系统镇定的输出反馈控制器的设计算法。     

非线性时滞系统输出反馈镇定

该文首次研究了一类非线性时滞系统的镇定问题.用Backstepping技术,给出了输出反馈控制器的构造性设计方法.     

Event‐triggered practical finite‐time output feedback stabilization of a class of uncertain nonlinear systems

This paper studies the event‐triggered practical finite‐time output feedback stabilization problem for a class of uncertain nonlinear systems with unknown control gains. First, a reduced‐dimensional observer is employed to implement the reconstruction of the unavailable states. Furthermore, a novel event‐triggered output feedback control strategy is proposed based on the idea of backstepping design and sign function techniques. It is shown that the practical finite‐time stability of the closed‐loop systems is ensured by Lyapunov analysis and related stability criterion. Compared with the existing methods, the main advantage of this strategy is that the observer errors and event‐trigger errors can be processed simultaneously to achieve the practical finite‐time stability. Finally, an example is adopted to demonstrate the validity of the proposed scheme.     

一类广泛的高阶非线性系统的自适应实际输出追踪控制

研究了一类带有不确定控制系数和不可测零动态的高阶非线性系统的自适应实际输出追踪控制问题.与现有文献相比较,所研究的系统更一般化,并且零动态的约束条件得到进一步放宽.通过运用增加幂次积分方法和自适应技术,设计了连续的自适应追踪控制器.最后,给出一个仿真算例验证控制设计方案的有效性.     

一类非线性系统的自适应抗测量噪声的输出反馈镇定

本文研究一类非线性系统的自适应抗测量噪声的输出反馈镇定问题. 所研究的非线性系统输出中存在正的且 有界的乘性噪声. 非线性项的增长率为一个未知常数乘以输出的幂函数加上带有时滞输出的幂函数. 首先, 证明一个矩 阵不等式. 其次, 设计含有3个时变增益的输出反馈控制器, 并给出增益的自适应律, 然后, 构造适当的Lyapunov-Krasovskii 泛函, 给出确保闭环系统渐近稳定的充分条件. 最后, 仿真实验验证该方法的可行性和有效性.     

Semi‐global stabilization of nonlinear systems by nonsmooth output feedback

Semi‐global stabilization by output feedback is studied for a class of nonuniformly observable and nonsmoothly stabilizable nonlinear systems. The contribution of this paper is to point out that most of the restrictive growth conditions required in the previous work can be relaxed or removed if a less demanding control objective, namely, semi‐global instead of global stabilization is sought. In particular, it is proved that without imposing restrictive conditions, semi‐global stabilization by nonsmooth output feedback can be achieved for a chain of odd power integrators perturbed by a smooth triangular vector field, although it is neither smoothly stabilizable nor uniformly observable. Extensions to nonstrictly triangular systems are also discussed in the two‐dimensional case. Several examples are provided to illustrate the key features of the proposed semi‐global output feedback controllers. Copyright © 2013 John Wiley & Sons, Ltd.     

Finite-time output feedback stabilization of high-order uncertain nonlinear systems

This paper studies the problem of finite-time output feedback stabilization for a class of high-order nonlinear systems with the unknown output function and control coefficients. Under the weaker assumption that output function is only continuous, by using homogeneous domination method together with adding a power integrator method, introducing a new analysis method, the maximal open sector Ω of output function is given. As long as output function belongs to any closed sector included in Ω, an output feedback controller can be developed to guarantee global finite-time stability of the closed-loop system.     

Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements

This paper addresses the problem of output feedback stabilization for nonlinear systems with sampled and delayed output measurements. Firstly, sufficient conditions are proposed to ensure that a class of hybrid systems are globally exponentially stable. Then, based on the sufficient conditions and a dedicated construction continuous observer, an output feedback control law is presented to globally exponentially stabilize the nonlinear systems. The output feedback stabilizer is continuous and hybrid, and can be derived without discretization. The maximum allowable sampling period and the maximum delay are also given. At last, a numerical example is provided to illustrate the design methods. Copyright © 2015 John Wiley & Sons, Ltd.     

Global output feedback stabilization of upper-triangular nonlinear time-delay systems

In this paper,the problem of global output feedback stabilization for a class of upper-triangular nonlinear systems with time-varying time-delay in the state is considered.The uncertain nonlinearities are assumed to be higher-order in the unmeasurable states.Based on the extended homogeneous domination approach,using a low gain observer in combination with controller,the delay-independent output feedback controller makes closed-loop system globally asymptotically stable under a homogeneous growth condition.     

A generalized homogeneous domination approach for global stabilization of inherently nonlinear systems via output feedback

In this paper, we introduce a generalized framework for global output feedback stabilization of a class of uncertain, inherently nonlinear systems of a particularly complex nature since their linearization around the equilibrium is not guaranteed to be either controllable or observable. Based on a new observer/controller construction and a homogeneous domination design, this framework not only unifies the existing output feedback stabilization results, but also leads to more general results which have been never achieved before, establishing this methodology as a universal tool for the global output feedback stabilization of inherently nonlinear systems. Copyright © 2006 John Wiley & Sons, Ltd.