Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses

This paper studies the optimal output tracking control and stabilization for networked control systems with packet losses via output feedback control. Both finite-horizon and infinite-horizon cases are considered. For the finite-horizon case, the authors introduce an augmented system according to the state variable and the reference trajectory for the first time. Based on a set of difference Riccati equations, an optimal output feedback tracking controller is proposed by applying the stochastic maximum principle. And an optimal estimator is presented. For the infinite-horizon case, a necessary and sufficient condition for the stabilization of the system is provided. And an optimal output feedback stabilizing tracking controller is obtained by establishing a set of algebraic Riccati equations. Finally,numerical examples are given to verify the proposed results.     

一类不确定非线性系统的鲁棒输出跟踪控制器

研究了一类不确定非线性系统的鲁棒输出跟踪问题 ,目的是在未满足不确定性匹配条件的情况下设计精确跟踪参考轨迹的状态反馈控制器。为了补偿不确定性 ,将鲁棒输出跟踪控制器的设计问题转化为最优控制器的设计问题。证明了鲁棒输出跟踪问题的解可通过最优控制的解而得到 ,通过仿真说明了这种设计方法是行之有效的。     

考虑滞回非线性的飞行姿态backstepping全局滑模控制

针对存在不确定性和滞回非线性的三代战机姿态稳定控制问题,提出一种基于非线性干扰观测器的backstepping全局滑模控制策略。利用非线性干扰观测器对系统不确定性和滞回非线性部分进行观测补偿,取消了不确定项变化缓慢的限制条件。借鉴动态面控制思想,引入一阶滤波器降低了backstepping控制器的复杂程度。利用Lyapunov定理证明了系统的稳定性。仿真结果表明了该控制方案对不确定干扰的有效抑制和闭环系统良好的跟踪性能。     

Formation Tracking for Nonlinear Multi-agent Systems with Input and Output Quantization via Adaptive Output Feedback Control

Signal quantization can reduce communication burden in multi-agent systems, whereas it brings control challenge to multi-agent formation tracking. This paper studies the output feedback control problem for formation tracking of multi-agent systems with both quantized input and output.The agents are described by a nonlinear dynamic model with unknown parameters and immeasurable states. To estimate immeasurable states and solve the uncertainties, state observers are developed by using dynamic high-gain tools. Through proper parameter designs, an output feedback quantized controller is established based on quantized output signals, and the quantization effect on the control system is eliminated. Stability analysis proves that, with the proposed control scheme, multi-agent systems can track the reference trajectory while forming and maintaining the desired formation shape.In addition, all the signals in the closed-loop systems are bounded. Finally, the numerical simulation and practical experiment are provided to verify the theoretical analysis.     

离散异构多自主体系统时变输出编队跟踪控制

针对维数和参数都不同的离散异构多自主体系统,利用输出调节方法研究了系统的时变输出编队跟踪控制问题.假设多自主体系统由多个follower自主体和多个leader自主体组成,并且ollowe自主体不能得到leade自主体的状态信息,利用邻接信息针对每个ollowe自主体设计了分布式观测器.基于观测器的状态,利用状态反馈,...     

基于干扰观测的欠驱动无人艇自适应航迹跟踪控制算法

研究了欠驱动无人艇在外界干扰条件下的航迹跟踪控制问题,提出了一种基于干扰估计与补偿的航迹跟踪控制算法,实现了风浪流干扰环境下航迹的精确跟踪。算法引入纵向误差作为状态变量对扩张干扰观测器进行设计,实时估计干扰的稳态分量,相比于传统的基于输出反馈干扰估计算法,其灵活性、可控性更高;同时基于纵向跟踪误差的状态估计误差,设计扩张干扰观测器变增益因子,相比于基于常增益观测器的航迹跟踪算法其能够在实现干扰补偿的前提下,有效减小航迹跟踪收敛段的震荡。基于李雅普诺夫稳定性理论证明了级联控制系统与干扰观测系统在平衡点的半全局指数稳定性,通过仿真对比实验及分析证明了所提航迹跟踪算法的有效性和先进性。     

ADAPTIVE PRACTICAL OUTPUT MANEUVERING CONTROL FOR A CLASS OF NONLINEAR SYSTEMS

This paper deals with the adaptive practical output maneuvering control problems for a class of nonlinear systems with uncontrollable unstable linearization. The objective is to design a smooth adaptive maneuvering controller to solve the geometric and dynamic tasks with an arbitrary small steady tracking error. The method of adding a power integrator and the robust recursive design technique are employed to force the system output to track a desired path and make the tracking speed to follow a desired speed along the path. An example is considered and simulation results are given. The proposed design procedure can be illustrated by the use of this example.     

A Genetic Algorithm for Optimal Design of Model Output Following Control

ＡＧｅｎｅｔｉｃＡｌｇｏｒｉｔｈｍｆｏｒＯｐｔｉｍａｌＤｅｓｉｇｎｏｆＭｏｄｅｌＯｕｔｐｕｔＦｏｌｌｏｗｉｎｇＣｏｎｔｒｏｌ￥ＺＨＡＮＧＸｉａｏｊｕｎ；ＹＡＭＡＮＥＹｕｚｏ（ＡｓｈｉｋａｇａＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，Ａｓｈｉｋａｇａ...     

Output feedback adaptive control of multivariable nonlinear systems using Nussbaum gain method

1. INTRODUCTION Output feedback adaptive control of single input and single output (SISO) nonlinear systems with unknown constant parameters has been well developed via backstepping design[1]. In order to achieve asymptotic tracking of a known reference trajectory, a restrictive assumption is the sign of the high frequency gain to be known. Some results for relaxing this assumption have also been proposed [2]. It has been shown that if the sign of the high frequency gain is unknown, the …     

一种Backstepping模型参考鲁棒飞行控制律的设计

提出了一种Backstepping模型参考鲁棒飞行控制律的设计方法。方法的主要特征是：在仅需要输入输出信号的情况下，即使系统参数未知且存在未建模动态和非线性因素干扰，系统仍能保证较强的鲁棒性，获得良好的跟踪效果。具体给出了飞机纵向通道短周期控制的设计方案，同时讨论了其他复杂模态下该方案的扩展方法。对上述方案的数值仿真显示了该方法良好的跟踪性能。     

Active Disturbance Rejection Control of Second-Order Nonlinear Uncertain Systems with Guaranteed Transient and Steady State Tracking Error Bounds

This paper presents an active disturbance rejection control (ADRC) method for a class of second-order nonlinear uncertain systems with guaranteed transient and steady state tracking error bounds. To deal with the tracking error constraint, an output error transformation and sliding surface technique are introduced to transform the constrained second-order system into an equivalent unconstrained first-order one. Then, an ADRC method is developed to achieve output tracking of the transformed uncertain system. The author proves that the closed-loop system is semi-globally uniformly bounded and it is sufficient to guarantee the tracking error constraint for the original system. Simulation results of a system of two inverted pendulums connected by a spring and a damper demonstrate the effectiveness of the proposed control method.

     

量子定位中精跟踪系统状态滤波及控制器设计

量子定位系统中精跟踪系统的跟踪精度是高精度定位的前提。针对卫星平台抖动以及工作环境噪声对量子定位系统跟踪精度的影响,建立了带有卫星平台振动信号模型以及有色噪声信号的精跟踪系统模型;设计了自适应强跟踪卡尔曼滤波器(adaptive strong tracking Kalman filter,ASTKF)算法,对状态扰动和输出噪声进行在线估计;并设计ASTKF对精跟踪系统进行闭环跟踪控制。在系统仿真实验中,对ASTKF进行了数值设计;对带有滤波器和比例积分微分(proportion integration differentiation,PID)控制器的精跟踪系统的控制性能,与仅采用PID控制方法以及采用自抗扰控制方法进行了性能对比实验。结果表明:采用带有所提出的ASTKF的PID控制的跟踪精度相较PID及自抗扰控制精度均有明显提高,可以达到量子定位的精跟踪系统对跟踪精度±2 μrad的要求。     

Sampled-Data Semi-Global Robust Output Regulation for a Class of Nonlinear Systems

This paper investigates the semi-global robust output regulation problem for a class of uncertain nonlinear systems via a sampled-data output feedback control law. What makes the results interesting is that the nonlinearities of the proposed system do not have to satisfy linear growth condition and the uncertain parameters of our system are allowed to belong to some arbitrarily large prescribed compact subset. Two cases are considered. The first case is that the exogenous signal is constant. The second case is that the exogenous signal is time-varying and bounded. For the first case,the authors solve the problem exactly in the sense that the tracking error approaches zero asymptotically. For the second case, the authors solve the problem practically in the sense that the steady-state tracking error can be made arbitrarily small. Finally, an example is given to illustrate the effectiveness of our approach.     

Exponential Stability of the Euler-Bernoulli Beam Equation with External Disturbance and Output Feedback Time-Delay

This paper concerns the stability of a one-dimensional Euler-Bernoulli beam equation with external disturbance and output feedback time-delay, in which the disturbance is bounded by an exponential function. In order to estimate disturbance, the authors design an estimator of disturbance,which is composed of two parts: One is the system measurement that is called the eigen-measurement,another is a time-variant estimator of disturbance. Thus, the feedback controller which is based on the estimate of the disturbance is designed to stabilize the system. The finite-time stability of the system under this control law is proved by Lyapunov function method. Finally, some numerical simulations on the dynamical behavior of the closed-loop system is presented to show the correctness of the result.     

临近空间高超声速飞行器匹配化滑模姿态控制

针对临近空间高超声速飞行器非匹配不确定性姿态控制问题,提出一种新型匹配化滑模姿态控制系统设计方法。首先将含有非匹配不确定性的模型进行匹配化变换,得到匹配的不确定性模型。采用扩张干扰观测器估计不确定项,用来补偿系统输出量的微分。其次,基于干扰观测器及频域滤波器设计了一种渐近收敛的复合微分器,用来获取系统输出的一阶导数。在此基础上,采用变结构控制方法,提出了一种匹配化滑模姿态控制方法。最后,通过数字仿真验证了该方法的有效性,并与反步法进行了对比,对比结果表明本文的方法具有更好的快速性及鲁棒性。     

未知扰动下自主水面船自适应有限时间轨迹跟踪

研究了未知干扰下的自主水面船(autonomous surface vehicle, ASV)的轨迹跟踪问题,并提出了基于一种有限时间理论的自适应控制策略。首先,基于反演法将控制系统分为运动学回路和动力学回路两部分;在运动学回路,提出关于跟踪误差的快速终端滑模面(fast terminal sliding surface, FTSS),为实现跟踪误差在有限时间达到FTSS,设计了ASV速度的辅助控制律;在动力学回路,以速度辅助控制律为ASV速度的跟踪目标设计关于速度跟踪误差的FTSS,同时考虑外界干扰,设计了包含鲁棒项的自适应控制律,使得速度跟踪误差在有限时间内收敛于动力学回路FTSS附近的邻域;最后,基于船模的仿真实验证明了所设计控制策略的有效性。     

机械手鲁棒输出跟踪控制与仿真

研究了两自由度机械手终端夹持不定载荷时的输出跟踪问题。应用输入 /输出反馈线性化法和李亚普诺夫方法 ,提出了一种基于不确定项上界的机械手鲁棒输出跟踪控制器设计算法。所述控制器可确保系统输出按指数规律跟踪期望输出 ,同时相应闭环系统的状态一致最终有界。该方法计算简单 ,容易实现。仿真结果证明了其可行性及有效性。     

非线性时变系统的输出跟踪

研究一类非线性时变控制系统的输出跟踪控制问题。首先，给出了时变李导数及非线性时变系统的相对阶定义；其次，在系统输入输出反馈线性化的基础上，设计了跟踪期望信号的时变状态反馈控制律；最后给出了数值算例，用仿真结果说明了本文方法的有效性。     

飞行器抗饱和鲁棒自适应非线性模型预测控制

针对巡航飞行器同时存在较大外部干扰和模型参数不确定性时自适应预测控制性能下降的问题,设计了带有模糊干扰观测器(fuzzy disturbance observer, FDO)补偿的鲁棒自适应非线性模型预测控制(robust adaptive nonlinear model predictive control, RANMPC)方法(简记为FDO-RANMPC方法)。首先,利用具有未知参数限制条件的递推最小二乘方法在线辨识模型参数;其次,利用模糊干扰观测器输出值抵消幅值较大的复合干扰,再利用Tube鲁棒预测控制策略设计了飞行器底层姿态系统具有稳定保障的FDO-RANMPC控制器;最后,在考虑复合不确定性情况下对指令姿态角跟踪的仿真中验证了控制器的有效性及其渐进稳定性。     

Adaptive practical tracking control by output feedback for a class of nonlinear systems

This paper investigates the problem of adaptive practical tracking control by output feedback for a class of nonlinear systems in which the nonlinearities are restricted to be upper bounded by a constant plus a polynomial function of the output multiplied by unmeasured states. To solve the problem, an observer with a dynamic high-gain is first introduced, and then an adaptive output feedback tracking controller is successfully designed using the universal control methodology. It is shown that all the states of the closed-loop system are bounded, and the tracking error can be made arbitrarily small by an appropriate choice of the design parameters after some large enough time. A simulation example is also provided to illustrate the correctness of the theoretical results.