Multivariable disturbance observer-based H2 analytical decoupling control design for multivariable systems

In this paper, an H₂ analytical decoupling control scheme with multivariable disturbance observer for both stable and unstable multi-input/multi-output (MIMO) systems with multiple time delays is proposed. Compared with conventional control strategies, the main merit is that the proposed control scheme can improve the system performances effectively when the MIMO processes with severe model mismatches and strong external disturbances. Besides, the design method has three additional advantages. First, the derived controller and observer are given in analytical forms, the design procedure is simple. Second, the orders of the designed controller and observer are low, they can be implemented easily in practice. Finally, the performance and robustness can be adjusted easily by tuning the parameters in the designed controller and observer. It is useful for practical application. Simulations are provided to illustrate the effectiveness of the proposed control scheme.     

基于非线性干扰观测器的一类欠驱动系统跟踪控制

针对一类欠驱动系统的跟踪控制问题,提出一种基于非线性干扰观测器的控制策略.首先给出一种基于跟踪误差的输出函数,通过等式变形和Butterworth低通滤波器解决未知控制方向问题;其次,引入一种新型非线性干扰观测器,对系统未知模型进行补偿,使控制器的设计无需知道系统的结构和参数;再次,通过对系统的内部动态和外部动态的分析,证明闭环系统的输出收敛于原点,跟踪误差信号一致最终有界;最后,将该方法应用于小车倒立摆模型,仿真结果表明了所提出方法的有效性.     

Nonlinear disturbance observer-based control for multi-input multi-output nonlinear systems subject to mismatching condition

For a multi-input multi-output (MIMO) nonlinear system, the existing disturbance observer-based control (DOBC) only provides solutions to those whose disturbance relative degree (DRD) is higher than or equal to its input relative degree. By designing a novel disturbance compensation gain matrix, a generalised nonlinear DOBC method is proposed in this article to solve the disturbance attenuation problem of the MIMO nonlinear system with arbitrary DRD. It is shown that the disturbances are able to be removed from the output channels by the proposed method with appropriately chosen control parameters. The property of nominal performance recovery, which is the major merit of the DOBCs, is retained with the proposed method. The feasibility and effectiveness of the proposed method are demonstrated by simulation studies of both the numerical and application examples.     

Analysis the robustness of control systems based on disturbance observer

Disturbance observer (DOB) estimates the system disturbances by using the inverse of the nominal plant model and a low pass filter (LPF). Although the LPF provides the properness in the inner-loop, it is the main design constraint of the control systems based on DOB. The bandwidth of the LPF is designed as high as possible so that the DOB can estimate the disturbances in a wider frequency range. However, its bandwidth is limited by noise and robustness of the system. The robustness limitation is directly related with the robustness analysis methods, and they significantly affect the performance of the DOB based control systems. In this paper, three different robustness analysis methods are implemented into the DOB based control systems, and the relation between the robustness of the system and bandwidth of DOB is clearly explained. The conservatism, which is the main drawback of the conventional analysis methods, on the bandwidth of DOB is removed by proposing a new real parametric uncertainty based analysis method. The proposed methods are compared in detail, and simulation results are given to show the validation.     

Nonfragile containment control of nonlinear multi-agent systems via a disturbance observer-based approach

In this article, we consider the nonfragile containment control problem of nonlinear multi-agent systems (MASs) with exogenous disturbance where the communication links among agents under consideration is directed. Firstly, based on relative output measurements between the agent and its neighbors, a disturbance observer-based control protocol is proposed to solve the containment control problem of MASs with inherent nonlinear dynamics and exogenous disturbances. Secondly, because of the additional tuning of parameters in the real control systems, uncertainties in the designing of observer and controller gains always occur, and as a result, an output feedback controller with disturbance rejection is conceived and the containment control problem of nonlinear MASs with nonfragility is thoroughly investigated. Then, depending on matrix transformation and inequality technique, sufficient conditions of the designed controller gains exist, which is derived from the asymptotic stability analysis problem of some containment error dynamics of MASs. Finally, two simulation examples are exploited to illustrate the effectiveness of the proposed techniques.     

Data-driven disturbance observer-based control:an active disturbance rejection approach

In this paper,a data-driven method for disturbance estimation and rejection is presented.The proposed approach is divided into two stages:an inner stabilization...     

Sliding mode disturbance observer-based backstepping control for a transport aircraft

This paper presents a novel control method by integrating the sliding mode disturbance observer- based control and the backstepping control technique, and successfully applies it to a flight control system for heavy cargo airdrop operations. The super-twisting second order sliding mode disturbance observer （SOSMDO） is employed to estimate bounded but otherwise arbitrary disturbances, thus ensuring asymptotic convergence of the estimation error to zero in a finite time. Besides, the integrated controller can significantly improve the robustness of the flight control system to modeling uncertainty and external disturbance in the presence of state/control constraints. The closed-loop stability is guaranteed in the sense of Lyapunov. In addition, the proposed approach can considerably reduce design cycles. The performance of the proposed control method is demonstrated in a very low altitude extraction airdrop simulation with a high-fidelity six-degree-of-freedom transport aircraft model.     

采用固定时间观测器的翼伞控制方法与应用

针对翼伞–火箭一子级柔性结构系统的控制难题,提出了一种采用固定时间观测器的改进矢量场轨迹跟踪控制方法.首先,设计了在线风场估计方法对未知风场进行了估计;其次,为了保证该控制系统在气动参数不确定、子系统铰连耦合等因素影响下的快速稳定性,提出了一种固定时间干扰观测器用来估计无需知道干扰上边界的复合干扰,并用于补偿控制系统的输入;然后,设计了一个同时保证侧偏距、偏航角以及偏航角速率稳定的横侧向控制器,并利用Lyapunov理论证明了闭环翼伞控制系统的收敛特性.最后,通过数值仿真及硬件在环实验验证了所提出方法的有效性及应用价值.     

Dynamic observer-based control for fractional-order uncertain linear systems

This paper addresses the problem of dynamic observer-based control for fractional-order linear uncertain systems. By constructing a new linearising change of variables, the conditions for designing the observer and controller gains are obtained in terms of solutions to a set of linear matrix inequalities (LMIs) even in the presence of uncertainties in system, input and output matrices simultaneously. Meanwhile, owing to having additional degrees of freedom in the designed observer structure, the proposed methods have no equality constraint, which is needed by using Luenberger-type observer. Numerical examples are given to illustrate the benefits and the effectiveness of the proposed method.     

Reduced-order observer-based control design for nonlinear stochastic systems

In this paper, we investigate the stabilization control design problem of nonlinear stochastic SISO systems in strict-feedback form. By introducing a novel reduced-order observer, an output-feedback-based control is constructively designed, which renders the closed-loop system asymptotically stable in the large when the nonlinearities and stochastic disturbance equal zero at the equilibrium point of the open-loop system, and bounded in probability, otherwise. Besides, the obtained controller preserves the equilibrium point of the open-loop nonlinear system.     

Event-driven observer-based output feedback control for linear systems

This paper concerns the problem of event-driven observer-based output feedback control of linear systems. Contrary to normal sampled-data control systems, where the controller is updated periodically, in event-driven systems, it is updated only when an “event” happens, and a typical event is defined as some error signals exceeding a given threshold. Both continuous- and discrete-time event detector cases are considered. It is shown that even with the significantly reduced sampling frequency, the global uniform ultimate boundedness of the event-driven closed-loop systems can also be guaranteed. A numerical example is finally used to illustrate the effectiveness and advantages of the proposed approaches.     

Simple observer-based control law for time lag systems

State feedback control laws and asymptotic observers are derived for a class of time lag systems. The duality between the observation and the state feedback is used in the design. In view of the separation property, simple observer-based control laws are obtained. Some recent criteria are used in the stability analysis.     

基于固定时间扰动观测器的水面无人艇精确编队控制

在水面无人艇(USV)编队控制中,控制效果易受系统初始状态和内外部扰动的影响.为此,研究一类具有复杂干扰下的USV编队控制问题,结合固定时间扰动观测器提出一种领航-跟随编队控制方法.首先,提出一种基于固定时间滑模的跟踪控制(FTSM-TC)策略,在固定时间内保证领航艇快速跟踪期望轨迹;然后,为处理内外部未知干扰设计固定时间扰动观测器(FTDO),从而保证在固定时间内对编队系统中的未建模动态和外部复杂干扰进行精确辨识.所提出的基于FTDO的编队控制(FTDO-FC)策略,使编队控制系统在固定时间内收敛并保持稳定的期望队形,仿真结果表明,所设计控制方法能够有效解决存在复杂未知扰动情况下的USV编队控制问题,且收敛时间与系统初始状态无关.     

A nonregressor nonlinear disturbance observer-based adaptive control scheme for an underwater manipulator

A new nonlinear disturbance observer-based tracking control scheme for an underwater manipulator is presented in this paper. This observer overcomes the disadvantages of existing disturbance observers, which are designed or analyzed by the linear system techniques. It can be applied in underwater manipulator systems for various purposes such as payload compensation, interaction effects compensation, underwater current or external disturbance compensation, and independent system control. The performance of the proposed tracking control scheme is demonstrated numerically by the payload compensation and interaction effects compensation for a two degrees of freedom vertical underwater manipulator.     

On the robustness and performance of disturbance observers for second-order systems

The disturbance observer (DOB) has been widely utilized for high-precision and high-speed motion control applications. In this note, we suggest the robustness measure of the DOB as a criterion to design the robust DOB systems. Also, we suggest its design guidelines especially for second-order systems. Experimental results for an optical disk drive system show the validity of design guidelines.     

Coordination of multi-agent systems under switching topologies via disturbance observer-based approach

In this paper, a leader-following coordination problem of heterogeneous multi-agent systems is considered under switching topologies where each agent is subject to some local (unbounded) disturbances. While these unknown disturbances may disrupt the performance of agents, a disturbance observer-based approach is employed to estimate and reject them. Varying communication topologies are also taken into consideration, and their byproduct difficulties are overcome by using common Lyapunov function techniques. According to the available information in difference cases, two disturbance observer-based protocols are proposed to solve this problem. Their effectiveness is verified by simulations.     

非线性时滞系统基于降阶观测器的反步镇定控制

针对一类状态未知的非线性严格反馈时滞系统, 本文提出了一种基于静态增益函数的输出反馈控制方案. 首先构造了降阶观测器以估计非线性系统的未知状态. 然后在Backstepping设计的每一步定义了具有控制增益函数 的新型Lyapunov-Krasovskii泛函以补偿未知时变时滞, 定义新的选择不唯一的连续控制增益函数以补偿非匹配项 以及Lyapunov-Krasovskii泛函补偿时滞时产生的非负项. 提出了一种无记忆输出反馈控制方案. 理论分析表明: 该 控制方案消除了未知时滞的影响, 保证了闭环系统所有信号的有界性, 并使系统实现渐近稳定. 最后仿真结果验证 了此控制方案的有效性.     

Improved results on observer-based control for discrete-time fuzzy systems

This paper is concerned with the design problem of observer-based H_∞ control for discrete-time Takagi?Sugeno (T?S) fuzzy systems. New sufficient conditions guaranteeing the H_∞ performance of the T?S fuzzy systems are derived. With the aid of some special derivations, bilinear matrix inequalities are converted into a set of linear matrix inequalities which can be solved using a single-step resolution procedure. In comparison with the existing literature results, the proposed approach may provide more relaxed conditions while ensuring better H_∞ performance. Finally, both numerical and practical examples are given to verify the effectiveness of the proposed approach.     

Robust observer-based control for uncertain discrete-time piecewise affine systems

The main contribution of this paper is to present a novel robust observer-based controller design method for discrete-time piecewise affine systems with norm-bounded uncertainties.The key ideas are to ...