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,...     

一类非线性MIMO系统的自适应模糊输出反馈控制

针对一类多输入多输出非线性系统设计了自适应模糊观测器和控制器。该方法不需要系统状态完全可测的条件，而是通过自适应模糊观测器估计系统的状态。采用基于状态估计的模糊基函数模型的模糊逻辑系统逼近非线性函数，并对模糊建模误差和外扰的存在采用了鲁棒补偿控制项以保证良好的观测与跟踪性能，该控制器保证了跟踪误差和观测误差的一致最终有界性。仿真结果表明所提出的方法具有良好的观测效果与跟踪效果。     

基于状态观测器的非线性系统神经网络自适应控制

结合高增益观测器,针对相对阶为n的非线性系统,设计了神经网络自适应控制器。利用Lyapnov定理获得了神经网络权值的更新律和控制器的控制律,从而确保了整个闭环系统的稳定性和有界性。由于神经网络不需任何的离线训练,因而该控制器能够广泛应用于一大类非线性性系统的控制中。仿真结果验证了控制方案的有效性。     

OUTPUT FEEDBACK CONTROL FOR MIMO NONLINEAR SYSTEMS WITH EXOGENOUS SIGNALS

The paper addresses the global output tracking of a class of multi-input multi-output （MIMO） nonlinear systems affected by disturbances, which are generated by a known exosystem. An adaptive controller is designed based on the proposed observer and the backstepping approach to asymptotically track arbitrary reference signal and to guarantee the boundedness of all the signals in the closed loop system. Finally, the numerical simulation results illustrate the effectiveness of the ProPosed scheme.     

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。     

Adaptive Output Feedback Regulation for a Class of Uncertain Feedforward Time-Delay Nonlinear Systems

This paper addresses the global output feedback regulation problem for a class of uncertain feedforward time-delay nonlinear systems. Unlike to the previous works, the nonlinear functions in the class of systems under consideration are dominated by an input-output function multiplied by an unknown parameter and linear unmeasured states. By using only one dynamic gain and an appropriate Lyapunov-Krasovskii functionals, it is shown that the closed-loop system is globally asymptotically stable. Finally, a numerical example is provided to illustrate the effectiveness of the proposed design scheme.     

Adaptive Asymptotic Tracking Control for Stochastic Nonlinear Systems with Unknown Backlash-Like Hysteresis

In this study, an adaptive asymptotic tracking control problem is considered for stochastic nonlinear systems with unknown backlash-like hysteresis. By utilizing backstepping technology and bound estimation approach, an adaptive asymptotic tracking control scheme is designed, where fuzzy systems are applied to approximate unknown function terms, the effect of hysteresis and stochastic disturbances is compensated appropriately. The proposed scheme ensures that the tracking error can asymptoticall...     

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.     

Sliding Mode Formation Control of Nonlinear Multi-agent Systems with Local Lipschitz Continuous Dynamics

In this paper, the multi-agent formation problem of networked nonlinear multi-agent systems with local Lipschitz continuous dynamics under directed interaction topology, is investigated.Based on the nonlinear dynamics satisfying locally Lipschitz continuous conditions, three kinds of sliding mode controllers are proposed to solve the problem of multi-agent formation control. Using integral sliding mode controller in first-order system, formation shape is achieved within finite time.For second-order system, on the one hand, non-singular terminal sliding mode function is adopted to accomplish the system asymptotic convergence. Furthermore, super-twisting algorithm is proposed to make multi-agent achieve the desired formation within finite time. Lyapunov functions are applied in the whole paper to ensure the system stability. Numerical simulation examples are provided to demonstrate the effectiveness of the proposed sliding mode control methods.     

Transient Performance Improvement in Tracking Control for a Class of Nonlinear Systems with Input Saturation

This paper addresses the composite nonlinear feedback (CNF) control for a class of singleinput single-output nonlinear systems with input saturation to track a time varying reference target with good transient performance. The CNF control law consists of a tracking control law and a performance compensator. The tracking control law is designed to drive the output of the system to track the time varying reference target rapidly, while the performance compensator is used to reduce the overshoot caused by the tracking control law. The stability of the closed-loop system is established. The design procedure and the improvement of transient performance of the closed-loop system are illustrated with a numerical example and the controlled Van del Pol oscillator.     

Tracking Control of Uncertain High-Order Nonlinear Systems with Odd Rational Powers and the Dead-Zone Input: A Direct Fuzzy Adaptive Control Method

This work studies the tracking issue of uncertain nonlinear systems. The existence of odd rational powers, multiple unknown parameters and the dead-zone input add many difficulties for control design. During procedures of the control design, by introducing an appropriate Lyapunov function, utilizing recursive control method and the inequality technique, some appropriate intermediate auxiliary control laws are designed under the hypothesis that nonlinear terms in the system are known.When those n...     

一类非线性系统的自适应神经跟踪控制

针对一类未知非线性动态系统,提出了一种基于神经网络的自适应输出跟踪控制方案。网络权值的自适应修正规则是基于Lyapunov稳定性理论实现的,避免了递归训练过程;一个滑模控制项用于消除神经网络逼近误差的影响。因此,该自适应神经控制器能保证系统的全局稳定性和输出跟踪误差渐近收敛于0。     

Event-Triggered Adaptive Fuzzy Finite Time Control of Fractional-Order Non-Strict Feedback Nonlinear Systems

In this article, the problem of event-triggered adaptive fuzzy finite time control of non-strict feedback fractional order nonlinear systems is investigated. By using the property of fuzzy basis function, the obstacle caused by algebraic loop problems is successfully circumvented. Moreover, a new adaptive event-triggered scheme is designed under the unified framework of backstepping control method, which can largely reduce the amount of communications. The stability of the closed-loop system is ensured through fractional Lyapunov stability analysis. Finally, the effectiveness of the proposed scheme is verified by simulation examples.

     

受扰非线性时滞系统的最优跟踪控制

考虑受扰非线性时滞系统的最优跟踪控制问题.基于内模原理构造扰动补偿器,将受扰系统转化成无扰动的增广系统.通过引入灵敏度参数并围绕其进行Maclaurin级数展开,将原时滞非线性系统的最优跟踪控制问题转化为无时滞的两点边值问题.通过求解增广系统的最优跟踪控制律从而得到原系统的最优跟踪控制律.仿真实例表明该方法的有效性.     

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。     

基于非线性跟踪的混沌反控制

针对连续仿射非线性系统，提出一种基于非线性跟踪的混沌反控制统一方法。设计了非线性跟踪控制规律，使非线性非混沌系统跟踪混沌输入信号，从而使非混沌系统产生与混沌输入信号拓扑共轭的混沌现象。仿真结果表明，该方法能够在线性可控和相对阶大于3的仿射非线性系统中产生混沌现象。     

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.     

Prescribed Performance Finite-Time Tracking Control for Uncertain Nonlinear Systems

This work investigates the finite-time tracking control problem for a class of uncertain strict-feedback nonlinear systems from a new perspective. First, a novel concept called finite-time performance function(FTPF) is defined. Further, a new sufficient condition of finite-time stability is derived and the tracking error can converge to a predefined region within a finite-time interval. The design process of the proposed technique is simpler. Finally, four simulation examples are carried out to illustrate the effectiveness of presented method.     

Consensus of Linear Multi-Agent Systems with Persistent Disturbances via Distributed Output Feedback

This paper addresses the consensus problem of general linear multi-agent systems with persistent disturbances by distributed output feedback. Suppose that states of agents can not be obtained directly. Several estimators are designed to observe states of agents and the unknown disturbances.A protocol is proposed to drive all agents achieve consensus. Based on the method of model transformation and the property of permutation matrix, sufficient conditions for consensus are obtained in terms of linear matrix inequalities. Finally, simulations are given to show the effectiveness of presented results.     

Cluster-Delay Consensus for Second-Order Nonlinear Multi-agent Systems

This paper investigates the second-order nonlinear multi-agent systems subject to the cluster-delay consensus. The multi-agent systems consist of leader and agents, whose dynamics are second-order nonlinear. The objective is that the agents track the leader asymptotically with different time delays, i.e., the agents in different groups reach delay consensus, while the agents in the same group reach identical consensus. To guarantee the cluster-delay consensus for the second-order multi-agent systems, a new control protocol is proposed. Then some corresponding conditions for cluster-delay consensus are derived by using Lyapunov directed method and matrix theory. Finally, the effectiveness of the theoretical analysis results are verified by some numerical simulations.