广义非线性系统的变结构控制理论

利用几何方法,从广义非线性系统本身出发,研究了广义非线性控制的变化结构控制理论,给出了系统存在变结构控制的充分实际没动模式的近似定理。从所得结论可知,滑动条件仅能保证实际滑动模的慢变状态赵近于理想滑动模的慢变状态,而不能保证实际滑动模的状态趋近于理想滑动模的快变状态,研究正常非线性系统的方法已不能简单地被利用到广义非线性系统。     

时滞系统的变结构控制及其实现问题

本文研究时滞系统的状态观测器，变结构控制及其实现问题。给出了一般时滞系统的状态观测器及变结构控制的设计方法，证明了当用状态观测器来实现变结构控制策略时，在一定条件下，可以保证系统的状态无限趋近于理想的滑动模态。     

快速收敛的非线性SISO系统变结构控制设计

讨论了SISO非线性系统的两种滑模变结构控制设计.分别从线性滑模的趋近率及非线性滑模设计提出了新的方法及相应控制方案.文中设计的线性滑模趋近率,其趋近速度及滑动状态随系统状态变化而变化;非线性滑模从系统收敛速度及动静态性能综合考虑进行了设计.研究结果表明,相比于终端滑模,系统具有显著的快速性,并具有良好的动静态性能.最后通过三个仿真实例验证了该方案的有效性.     

离散时间系统变结构控制分段趋近律

对高为炳先生提出的离散时间系统变结构控制的趋近律进行改进,提出了系统状态在进入准滑动模态带内和带外分别采用不同趋近律的分段式趋近律,该趋近律符合高氏关于离散变结构控制到达条件的6个特点,采用该趋近律设计的系统运动最终趋近于原点,从而具有快速趋近和降低抖振的品质。仿真结果说明了该方法的有效性。     

单变量离散时间系统的变结构控制

针对离散时间变结构系统区别于连续时间情形的特点 ,以单变量系统为例 ,提出了一种新的离散时间变结构控制方法 ,其特点是能够使得系统状态于有限时间进入准滑动模态 ,且准滑动模态能够渐近地趋近于理想准滑动模态。     

一种新的机器人轨迹跟踪滑模变结构控制

该文在传统变结构控制趋近律的基础上，提出一种快速平滑趋近律，并作仿真比较；同时对其滑动模态作改进，引入非线性项，提出一种快速收敛滑动模态。在选择滑动模态的切换方式后，将新的变结构控制器应用于机器人的轨迹跟踪控制中，在对系统的抗干扰能力进行分析后，作了相应的仿真研究。     

一种不确定离散时间系统的变结构控制方法

针对离散时间系统变结构控制中存在的问题,利用指数趋近律的趋近特性,提出一种新的离散变结构控制方法.利用递推估计的方法设计变结构控制律,有效地抵消了线性系统中慢变不确定性的影响,实现了对慢变非线性系统的控制.该方法克服了以往控制方法中需已知扰动上界的限制,降低了抖振,加快了趋近速度.仿真结果证明了该方法的有效性.     

一种不确定离散时间系统的变结构控制方法

针对离散时间系统变结构控制中存在的问题，利用指数趋近律的趋近特性，提出一种新的离散变结构控制方法，利用递推估计的方法设计变结构控制律，有效地抵消了线性系统中慢变不确定性的影响，实现了对慢变非线性系统的控制，该方法克服了以往控制方法中需已知扰动上界的限制，降低了抖振，加快了趋近速度。仿真结果证明了该方法的有效性。     

一类奇异非线性变结构控制系统的跟踪问题

首次利用变结构控制方法研究了一类奇异非线性系统的模型跟踪问题，在不同情况下，通过引入动态补偿器的概念，设计了奇异模型跟踪系统的切换函数，得到了在切换面上实现跟踪的条件，然后利用趋近律方法设计了变结构控制，以保证在切换面外的运动在有限时间到达切换面，通过滑动运动实现跟踪，最后讨论了参数模型为正常系统的线性定常奇异系统的跟踪问题。     

基于输入输出的滑模变结构控制

针对一类非线性系统中存在不确定性和外部干扰,运用滑模变结构控制理论,提出一种具有滑动模态的控制器设计方法。该设计的目的是使系统的跟踪误差趋近于0,并且对不确定性和外部干扰具有较强的鲁棒性。控制器利用滑动模态对系统参数变化以及对外部干扰具有的完全不变性,使系统的鲁棒性得以提高;文中讨论了滑动模态的存在性和滑动模态的不变性原理,对于滑动模态的到达问题,用选定的趋近律代替常规的到达条件,不仅可以减少非线性引起的分析困难,还有助于改善系统的动态品质。最后对一非线性系统进行仿真,仿真结果表明该文提出的控制方法能够获得令人满意的结果。     

Nonlinear sliding mode high-gain observers for fault estimation

A robust high gain observer for state and unknown inputs/faults estimations for a special class of nonlinear systems is developed in this article. Ensuring the observability of the faults/unknown inputs with respect to the outputs, the faults can be estimated from the sliding surface. Under a Lipschitz condition for the nonlinear part, the high gain observers are designed under some regularity assumptions. In the sliding mode, the convergence of the estimation error dynamics is proven similar to the analysis of high-gain observers.     

Adaptive observers for nonlinearly parameterized class of nonlinear systems

In this paper, one proposes adaptive observers for a class of uniformly observable MIMO nonlinear systems with general nonlinear parameterizations. The state and the unknown parameters of the considered systems are supposed to lie in bounded domains which size can be arbitrarily large and the exponential convergence of the observers is shown to result under a well-defined persistent excitation condition. Moreover, the gain of the observers involves a design function that has to satisfy a simple condition which is given. Different expressions of such a function are proposed and it is shown that adaptive high gain like observers and adaptive sliding mode like observers can be derived by considering particular expressions of the design function. The theory is supported by simulation results related to the estimation of the biomass concentration and the Contois model parameters in a bioreactor.     

Chattering avoidance by second-order sliding mode control

Relying on the possibility of generating a second-order sliding motion by using, as control, the first derivative of the control signal instead of the actual control, a new solution to the problem of chattering elimination in variable structure control (VSC) is presented. Such a solution, inspired by the classical bang-bang optimal control strategy, is first depicted and expressed in terms of a control algorithm by introducing a suitable auxiliary problem involving a second-order uncertain system with unavailable velocity. Then, the applicability of the algorithm is extended, via suitable modifications, to the case of nonlinear systems with uncertainties of more general types. The proposed algorithm does not require the use of observers and differential inequalities and can be applied in practice by exploiting such commercial components as peak detectors or other approximated methods to evaluate the change of the sign of the derivative of the quantity accounting for the distance to the sliding manifold     

Sliding mode control for uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones.

In this paper, we investigate a novel robust control approach for a class of uncertain nonlinear systems with multiple inputs containing sector nonlinearities and deadzones. Sliding mode control (SMC) is suggested to design stabilizing controllers for these uncertain nonlinear systems. The controllers guarantee the global reaching condition of the sliding mode in these systems. They can work effectively for systems either with or without sector nonlinearities and deadzones in the inputs. Moreover, the controllers ensure that the system trajectories globally exponentially converge to the sliding mode. Illustrative examples are demonstrated to verify the effectiveness of the proposed sliding mode controller.     

ℋ︁∞ sliding mode observers for uncertain nonlinear Lipschitz systems with fault estimation synthesis

This paper presents a scheme to design robust sliding mode observers(SMO) with ??_∞ performance for uncertain nonlinear Lipschitz systems where both faults and disturbances are considered. We study the necessary conditions to achieve insensitivity of the proposed sliding mode observer to the unknown input(fault). The objective is to derive a sufficient condition using linear matrix inequality(LMI) optimization for minimizing the ??_∞ gain between the estimation error and disturbances, while at the same time the design method guarantees that the solution of the LMI optimization satisfies the so‐called structural matching condition. The sliding motion affects only a part of the system through a novel reduced‐order sliding mode controller. Furthermore, the so‐called equivalent control concept is discussed for fault estimation. Finally, a numerical example of MCK chaos demonstrates the high performance of the results compared with a pure SMO. Copyright © 2010 John Wiley & Sons, Ltd.     

Observer‐Based Multiple Faults Diagnosis Scheme for Satellite Attitude Control System

This paper proposes a multiple fault diagnosis (MFD) scheme based on an observer method for satellite attitude control systems (ACSs) subject to nonlinearity and external disturbances of the system. The essential idea is to develop a fault diagnosis scheme and design the corresponding observers for satellite ACSs. The nonlinearity, space external disturbances, sensor uncertainties, and multiple faults problem of the satellite ACS are all taken into account. The proposed MFD scheme is developed at two different levels. First, at the system level, two nonlinear observers based on analytical redundancy are designed for the MFD of the satellite ACS; this level roughly reveals the fault source. Then, at the component level, a bank of sliding mode observers activated by the results of the previous diagnosis is designed to precisely diagnose multiple faults of actuators in the satellite ACS; this level further precisely reveals the fault source. Both the nonlinear observers and the sliding mode observers are confirmed to be asymptotically stable via Lyapunov stability theory. Finally, numerical simulations of a satellite ACS are performed to illustrate the effectiveness of the proposed MFD scheme.     

变结构控制实现非线性系统的输出调节和鲁棒输出调节

对于确定性的和受到结构扰动的非线性系统，用变结构控制设计的控制律能够满足到达条件，构造的切换面能产生稳定的滑动模态。当非线性系统在切换面上运动时，可以实现输出调节和鲁棒输出调节。     

Sliding mode control assisted by GPI observers for tracking tasks of a nonlinear multivariable Twin-Rotor aerodynamical system

This paper explores the techniques based on Generalized Proportional Integral Observers (GPI), under the approach of active disturbance rejection, applied to the control of multivariable nonlinear systems with the same number of inputs and outputs (square). As a central axis, a sliding mode control scheme assisted by GPI observers is proposed. These observers are responsible for estimating the disturbances associated with the dynamics of the sliding surfaces produced by non-linearities, not modeled elements, parameter uncertainty and external disturbances. This process allows the creation of sliding regimes under the point of view of decoupled control. As a case study, the position control of a small-scale 2-DOF helicopter affected by adverse operating conditions, such as unknown external disturbances and actuator faults, is considered. Finally, experimental results that validate the proposed control strategy and a comparison with a linear GPI observer-based active disturbance rejection control scheme are presented.     

一类非线性系统的变结构控制

给出了类似于单变量系统的多输入非线性系统的规范型，以及系统可化为这种形式的充分必要条件。针对化为规范型的非线性系统，讨论了对其实施变结构控制问题。