基于反步法的一类非线性切换系统控制器设计

研究一类子系统是纯反馈非线性系统的切换系统控制器设计问题．基于多Lyapunov函数和反步法,提出一种状态反馈控制律及切换规则设计方法。通过递推设计可得到使非线性切换系统稳定的反馈控制律和切换规则．将所提出的方法应用于该类非线性切换系统含有不确定性的情形,仿真算例结果表明了所提出方法的有效性．     

自适应反推神经网络的转台鲁棒控制器设计

针对未知非线性、外界干扰和参数摄动等不确定因素对实际转台控制系统的影响,提出了自适应反推神经网络的转台鲁棒控制器设计.首先给出自适应Backstepping控制器的设计方法及步骤,接着采用RBF神经网络对转台对象参数的不确定因素上界值加以辨识,实现转台系统的鲁棒控制.其中Backstepping鲁棒控制作为主控制器,RBF神经网络实现了不确定上界值的在线辨识.仿真结果表明,自适应Backstepping神经网络控制很好地克服了对象的不确定性,实现控制系统的较强鲁棒性,适于高精度飞行仿真转台系统的实时鲁棒控制.     

Adaptive backstepping control of uncertain systems with unknown input time-delay

In this paper, we establish the robustness of adaptive controllers designed using the standard backstepping technique with respect to unmodeled dynamics involving unknown input time delay. While noting that some results on robust stabilization of non-minimum phase systems using the backstepping technique are available, we realize that the standard adaptive backstepping technique has only been shown applicable to unknown minimum phase systems. Another significance of our result is to enable the class of systems stablizable by adaptive backstepping controllers to cross the boundary of minimum phase systems, since systems with input time delay belong to non-minimum phase systems. Moreover, the L₂ and L_∞ norms of the system output are also established as functions of design parameters. This implies that the transient system performance can be adjusted by choosing suitable design parameters.     

板球系统的参数自调整反步控制

为解决系统初始值大范围变化,且控制量受到饱和特性约束的板球系统镇定控制问题,提出一种自动调整待设计参数的反步控制方法.分析了反步法偏差系统的平衡点特性;说明了反步法待设计参数与偏差系统动态间的关系;构造了Mamdani模糊逻辑,以自动调整反步法待设计参数;考虑了控制量受饱和特性限制而引入的约束条件,进而以遗传算法优化了模糊规则.仿真和实验结果均表明,自动调整待设计参数的反步控制方法降低了镇定控制中的位置偏差和位置超调.     

Direct adaptive fuzzy control of nonlinear strict-feedback systems

This paper focuses on adaptive fuzzy tracking control for a class of uncertain single-input /single-output nonlinear strict-feedback systems. Fuzzy logic systems are directly used to approximate unknown and desired control signals and a novel direct adaptive fuzzy tracking controller is constructed via backstepping. The proposed adaptive fuzzy controller guarantees that the output of the closed-loop system converges to a small neighborhood of the reference signal and all the signals in the closed-loop system remain bounded. A main advantage of the proposed controller is that it contains only one adaptive parameter that needs to be updated online. Finally, an example is used to show the effectiveness of the proposed approach.     

带有多非线性干扰观测器的电液伺服反演控制

针对高阶不匹配不确定非线性电液伺服系统,提出一种动态面反演控制策略,以实现对电液伺服系统的位置控制.采用多个非线性干扰观测器观测出电液伺服系统的各阶子系统的不确定项和干扰项,对使用非线性干扰观测器后的系统实行反演控制,使用动态面方法来解决传统反演控制中虚拟控制量随着系统阶数的增加而愈加繁杂的问题.基于Lyapunov方法从理论上证明了所设计的系统控制器能够保证闭环系统有界稳定,系统中所有信号是一致最终有界的,仿真结果验证了反演控制方法的正确性.     

基于扩张状态观测器的反馈线性化无人飞行器姿态控制

随着集成电子等技术逐渐成熟,无人飞行器得到了广泛的关注和应用;其中,由于飞行器在飞行阶段具有高响应速度、耦合动力学和非线性等特点,使其在飞行阶段的姿态控制成为该领域重点研究的方向之一;针对该研究方向,文章提出了一种基于反步法技术的反馈线性化无人飞行器姿态跟踪控制方案来解决其在受到环境干扰的条件下可以精准跟踪姿态角度的问题;在该方法中,设计了反步法技术拆分简化模型和反馈线性化减少调节参数,并利用扩张状态观测器(ESO)来对扰动进行估计和补偿,同时给出了ESO的收敛性和闭环系统的稳定性来证明该方法的可实施性;最后给出了仿真结果,验证了该方法在干扰的环境下仍可以精准控制无人飞行器姿态。     

带有时滞的未知非仿射非线性系统自适应模糊跟踪控制

应用自适应模糊逼近方法研究了一类带有时滞的未知非仿射非线性系统的跟踪控制问题.系统的实际控制器是按照Backstepping设计过程经逐步反推而得到, 在每一步设计中需要用自适应模糊逻辑系统来逼近未知的非线性函数.为了降低控制设计对先验知识的依赖性, 取消须事先已知模糊基函数的限制, 采用非线性参数化的模糊逻辑系统作为逼近器.由于逼近器中的未知参数彼此之间呈非线性关系, 无法直接得到在线估计这些参数的自适应律.为了实现对相关参数的在线调节, 先应用Taylor展开式将呈非线性关系的参数分离, 使其相互之间具有线性关系, 然后再基于Lyapunov第2方法给出相应参数的自适应调节律.最后, 通过一个仿真实例来验证所给方法的有效性.结果表明:所得自适应模糊控制器能有效补偿时滞的影响, 保证闭环系统中所有信号均有界, 而且输出跟踪误差能收敛到原点的任意小邻域内.     

基于Backstepping的电液伺服系统多级自适应滑模控制

针对电液伺服系统的非线性特性、系统参数及外部负载的非匹配不确定性,在电液伺服系统的位置跟踪控制中,提出了基于Backstepping逆向递推技术的多级自适应滑模控制方法,应用Backstepping的逆向递推方法有效地解决了高阶系统的控制问题,并结合了自适应方法和滑模控制方法各自优良的抗干扰特点。仿真结果显示,该控制方法具有较强的鲁棒性及良好的跟踪性能。     

Adaptive fuzzy approach for a class of uncertain nonlinear systems in strict-feedback form

Adaptive fuzzy control is proposed for a class of affine nonlinear systems in strict-feedback form with unknown nonlinearities. The unknown nonlinearities include two types of nonlinear functions: one satisfies the "triangularity condition" and can be directly approximated by fuzzy logic system, while the other is assumed to be partially known and consists of parametric uncertainties. Takagi-Sugeno type fuzzy approximators are used to approximate unknown system nonlinearities and the design procedure is a combination of adaptive backstepping and generalized small gain design techniques. It is proved that the proposed adaptive control scheme can guarantee the uniformly ultimately bounded (UBB) stability of the closed-loop systems. Simulation studies are shown to illustrate the effectiveness of the proposed approach.