不确定非完整动力学系统的指数镇定

研究具有未知惯性参数非完整动力学系统的镇定问题,基于非连续变换和动力学方程的性质,设计出两类非线地指数镇定律－鲁棒控制和自适应控制律。将其用于一类移动机器人的位姿镇定,仿真结果验证了所提出控制方法的有效性。     

一类不确定非完整机器人的时变自适应镇定

通过对质心和几何中心不重合情况下两轮驱动移动机器人镇定问题的研究,提出了一种光滑时变控制律,并针对质心和几何中心距离参数未知的情况,利用自适应技术对其进行了修正. 证明了所提出的控制律可使该类型移动机器人的位姿从任意的初始状态指数收敛到原点．仿真试验验证了本文所提出控制律的有效性．     

一类不确定非完整动力学系统的时变镇定

对于一类具有未知惯性参数的非完整动力学系统,提出了新的时变自适应镇定律,将其用于一类移动机器人的位姿镇定中．仿真结果验证了所提控制方法的有效性．     

一类不确定非完整动力学系统的时变镇定

对于一类具有未知惯性参数的非完整动力学系统,提出了新的时变自适应镇定律、将其用于一类移动机器人的位姿镇定中.仿真结果验证了所提控制方法的有效性.     

用滑动模态实现一类非完整动力学系统的指数镇定

对于基变量具有对称性的一类确定非完整动力学系统,直接基于该系统模型,利用滑动模态的方法设计了指数镇定控制器,得到了状态空间中的一个区域.当系统初始状态位于该区域内时,系统状态是指数收敛的,而当初始状态不在该区域内时,可用非零的开环常值控制使系统状态在有限时间内进入这一区域.因此,它是一种简洁的全局镇定律.最后,用仿真结果验证了这一方法的有效性.     

一类不确定非完整动力学系统的鲁棒镇定及其在移动机器人中的应用

本文讨论了一类带有未知惯性参数、动静态摩擦及外界干扰的非完整动力学系统的控制问题．基于变结构控制的思想,给出了该系统的镇定方法,使得Ｐｏｍｅｔ［３］关于非完整运动学系统的时变光滑镇定律可推广到相应的带有参数不确定和干扰的动力学系统上．最后,将所得结果应用于一类移动机器人的镇定控制,仿真结果验证了该方法的有效性．     

一类不确定非完整动力学系统的鲁棒镇定及其在移动机器人中的应用

本文讨论了一类带有未知惯性参数、动静态摩擦及外界干扰的非完整动力学系统的控制问题．基于变结构控制的思想，给出了该系统的镇定方法，使得Ｐｏｍｅｔ［３］关于非完整运动学系统的时变光滑镇定律可推广到相应的带有参数不确定和干扰的动力学系统上．最后，将所得结果应用于一类移动机器人的镇定控制，仿真结果验证了该方法的有效性．     

不确定非完整动力学系统的时变自适应控制

研究了具有未知惯性参数非完整动力学系统的镇定问题,对于一类非完整系统,给出了一种新的时变自适应律镇定律,不同于其它文中的控制律,该镇定律不是高增益的,文中也讨论了一般不确定非完整动力学系统的镇定问题,证明了时变周期镇定律的存在性,一个简单的例子说明了如何应用文中结果设计镇定律,仿真结果表明了本文所提设计方法的有效性。     

一类不确定非完整动力学系统的鲁棒镇定*

研究了一类不确定非完整动力系统的鲁棒镇定问题,设计了时变镇定律,仿真表明了该镇定律有效性。     

Disturbance Attenuation of LPV Systems with Bounded Inputs

A design technique is proposed for disturbance attenuation in linear parameter varying (LPV) systems with bounded inputs. The actuator constraints are handled via a typical LPV approach, in which the time varying parameter is related to the error between the command input and the actual input. Since these two signals are known in most applications, a standard LPV structure for the controller is possible. As a result, the design of controllers with bounded actuators is no more difficult – fundamentally – than the unconstrained control of the LPV system. For example, state feedback problem is convex and the output feedback problem is convex if all of the parameters are available on-line. Cases where the parameters are not available on-line (i.e., traditional robust problems), rate constraint or when the underlying Lyapunov matrix is itself parameter varying are also discussed.     

一类具有有界控制器的多重时变滞后系统的指数稳定性

考虑了一类具有多重时变滞后和有界控制器的不确定动力系统的鲁棒指数稳定性问题.匹配一个无记忆的控制器,确保存在一个吸收域.我们所考虑的这类系统的解收敛于一个给定的球.球的半径和指数收敛率可以任意选择.     

Partial-state Feedback Stabilization for a Class of Generalized Nonholonomic Systems with ISS Dynamic Uncertainties

In this paper, the problem of global stabilization control via partial-state feedback is addressed for a class of uncertain nonholonomic systems with the disturbed virtual control directions. The investigated nonholonomic system has the input-to-state stable (ISS) dynamic uncertainties. The small gain theorem and the changing supply function technique are employed to derive a global stabilization controller. Additionally, we develop a switching control strategy in order to get around the smooth stabilization burden associated with nonholonomic systems. The simulation results illustrate the efficacy of the presented algorithm.     

一类不确定系统的动态输出反馈镇定

考察同时含有匹配和非匹配不确定性的一类非线性系统的输出反馈镇定问题。首先讨论仿射非线性的情形,然后讨论一类非仿射非线性情形。分别为所论系统构造了输出反馈动态补偿器,该补偿器可以实现对所论非线性不确定系统的动态输出反馈指数的镇定。     

Reachable Set Estimation for Uncertain Linear Systems with Known Inputs

International Journal of Control, Automation and Systems - This paper studies reachable set estimation for systems with parameter uncertainties and known input. A new method is proposed for...     

Control of Uncertain Systems under Bounded Chattering

In this paper, we propose a mathematical method to compute a robust control with bounded chattering enabling to stabilize a uncertain dynamical system around an equilibrium of the nominal system (non disturbed system) The idea is to consider the problem in the framework of differential games and to treat the stabilization problem as a state constraint inspired from a Lyapunov characterization. The notion of Leadership kernel then provides states and controls allowing the system to converge exponentially to a neighborhood of the equilibrium.     

Adaptive Dynamic Surface Control for Finite-time Tracking of Uncertain Nonlinear Systems with Dead-zone Inputs and Actuator Faults

In this paper, a finite-time tracking control scheme for perturbed undetermined nonlinear systems governed by dead-zone inputs and actuator faults is investigated. By means of dynamic surface control technique, a suitable adaptive neural network controller is introduced, which guarantees that all signals in the closed-loop system are bounded, and that all state trajectories of the error dynamics converge to a small region in the sense of semi-globally practically finite-time stabilization. Finally, a numerical simulation is taken into consideration for the reliability of the proposed methodology.

     

Stabilization of Enforced Positive Switched Linear Systems with Bounded Controls

This paper is concerned with the controller synthesis issue for enforced positive switched linear systems via output feedback. First, the stabilization problem is studied with output feedback under average dwell time switching signal, and the controllers we proposed guarantee stability and positivity of the closed-loop systems. Second, the output feedback stabilization issue is investigated by introducing special form of diagonal matrices, and the constraints on states and control inputs are solved based on limited initial conditions. Then, the derived conditions are described via linear programming, also extending the theoretical findings to constrained output issue. Finally, the simulation results demonstrate the feasibility of the control strategy.