可部分线性化系统的鲁棒动态补偿器设计*

本文考察其标称系统的相对阶大于１同时 含匹配和非匹配不确定性的ＳＩＳＯ非线性系统的动态输出反馈镇定问题。     

一类不确定仿射非线性系统的动态输出反馈全局镇定

本文研究了有非匹配不确定性的ＳＩＳＯ及ＭＩＭＯ仿射非线性系统的动态输出反馈镇定问题，在要求标准系统为双曲极小相位及系统不确定部分满足一定条件下，构造出了输出反馈形式的动态补偿器，该动态补偿器使相应闭环系统在Ｌｙａｐｕｎｏｖ意义下全局这稳定、数值仿真结果令人满意。     

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。     

一类非线性MIMO不确定系统的动态输出反馈镇定

考察其标称系统的相对阶大于{1,1,…,1}同时含匹配和非匹配不确定性的MIMO 非线性系统的动态输出反馈镇定问题.文中直接用Lyaunov方法构造一类输出反馈动态补 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渐近镇定.     

具有状态时滞和控制时滞的不确定性非线性系统的鲁棒控制

对于具有状态时滞和控制时滞的不确定性非线性系统，当其线性部分的不确定性满足范数有界条件而非线性部分的不确定性满足匹配条件时，本文研究其鲁棒镇定问题．在整体指数稳定的意义下，我们得到了上述这类系统可由线性状态反馈和输出反馈镇定的充分条件——某个代数黎卡提不等式有解．并且只要得到了黎卡提不等式的解，就可很方便地设计出对应的控制器．     

MIMO不确定仿射非线性系统输出反馈区域镇定

研究不确定仿射非线性系统的输出反馈镇定,在允许系统存在某类非匹配不确定性 的情况下,为系统构造出动态输出反馈鲁棒控制器,使相应闭环系统渐近稳定,并给出吸引域 的估计.     

一类不确定线性时滞系统的输出反馈鲁棒镇定

研究一类不确定线性时滞系统的输出反馈鲁棒镇定问题,其中不确定性不必满足匹配条件。以二次Lyapunov泛函保证系统的渐近稳定性,利用线性矩阵不等式给出了系统可以利用动态输出反馈鲁棒镇定的充分条件。当此条件成立时,基于线性矩阵不等式的解构造了全阶动态输出反馈镇定控制器。     

一类不确定组合大系统的输出反馈鲁棒控制

本语文研究一类不确定组合大系统的静态输出反馈鲁棒镇定问题,对于含有满足匹配条件的不确定性的一类组合大系统设计出了静态输出反馈鲁棒控制器,使闭环系统状态全局指数稳定。最后给出的传真例子验证了所给结果的有效性。     

离散时间部分状态反馈模型参考自适应控制

本文针对线性不确定性系统, 给出了部分状态反馈直接模型参考自适应控制设计方案以及详细的系统稳 定性、输出跟踪性能分析. 控制器设计基于降维观测器和参数化方法. 此方案采用反馈控制, 反馈信号不仅仅依赖 全状态信息或者输出信号, 而是任意不超过系统维数的可测信号. 因此, 部分状态反馈控制是包含状态反馈、输出 反馈控制的新的控制方案, 缓解了状态反馈对状态信息的限制, 降低了输出反馈控制结构的复杂性. 通过引入辅助 信号, 本文证明了输出匹配条件的存在性、所有闭环系统信号的有界性以及渐近输出跟踪性能. 仿真结果验证了该 方案的有效性.     

一类带有非匹配不确定性的非线性组合系统的按指数镇定

本文讨论一类带有非匹配不确定性的非线性大系统的按指数镇定，在标称系统是按指数稳定且非匹配不确定性为等效匹配的假设条件下提出了两种鲁棒控制算法，分散控制仅利用每个子系统的状态作为反馈信息，而双层控制使用每个子系统及相关子系统的状态，最后用一个说明性的例子来说明本文所提出方法的可用性。     

Finite‐time tracking control of uncertain nonholonomic systems by state and output feedback

This paper studies the finite‐time tracking control of nonholonomic systems in chained form with parameter uncertainties, unknown output gains, and mismatched uncertainties. To achieve the finite‐time tracking control of uncertain nonholonomic systems, we propose 2 types of controllers by state and output feedback, respectively. Both of the proposed 2 types of controllers can achieve the finite‐time output tracking control of the nonholonomic systems even in the presence of mismatched uncertainties and/or unknown gains. The effectiveness of our proposed controllers are illustrated with simulation examples.     

Exponential tracking of feedback linearizable non-linear control systems with uncertainties

This paper studies the robust output tracking problem of feedback linearizable non-linear control systems with uncertainties. Utilizing the input-output feedback linearization technique and the Lyapunov method for non-linear state feedback synthesis, a robust globally exponential output tracking controller design methodology for a broad class of non-linear control systems with uncertainties is developed. The underlying theoretical approaches are the differential geometry approach and the composite Lyapunov approach. One utilizes the parametrized coordinate transformation to transform the original non-linear system with uncertainties into a singularly perturbed model with uncertainties and the composite Lyapunov approach is then applied for output tracking. To demonstrate the practical applicability, the paper has investigated a pendulum control system.     

不确定广义系统的鲁棒脉冲耗散控制

本文在状态空间下, 基于线性矩阵不等式(LMI)的方法, 研究了一类不确定广义系统在允许的不确定性下的脉冲耗散控制问题, 并且通过解线性矩阵不等式得到了此类不确定广义系统对于允许的不确定性的鲁棒脉冲耗散状态反馈控制器和输出反馈控制器, 最后通过数值算例验证了定理的可行性.     

带有非匹配不确定性非线性系统的线性动态输出反馈镇定

研究了带有非匹配不确定性的SISO及MIMO仿射和非仿射非线性系统的动态 输出反馈镇定问题,在仅要求标称系统为双曲极小相位,以及在对系统不确定部分做较弱限 制下,分别为所论系统构造出了输出反馈形式的动态补偿器,它们均使相应的闭环系统为 Lyapunov意义下的渐近稳定.所构造的补偿器为线性的,结构简单,易于实现.     

Recursive scaling design for robust global nonlinear stabilization via output feedback

This paper proposes a novel approach to robust backstepping for global stabilization of uncertain nonlinear systems via output feedback. The design procedure developed in this paper is based on the concept of state‐dependent scaling, which handles output‐feedback stabilization problems of strict‐feedback systems with various structures of uncertainties in a unified way. The proposed method is suitable for numerical computation. The theory of the method employs the Schur complements formula instead of Young's inequality and completing the squares. This paper shows a condition of allowable uncertainty size under which an uncertain system is globally stabilized by output feedback. A class of systems is shown to be always globally stabilizable for arbitrarily large nonlinear size of uncertainties. A recursive procedure of robust observer design for such a class of uncertain systems is presented. Copyright © 2000 John Wiley & Sons, Ltd.     

Design of robust-optimal output feedback controllers for linear uncertain systems using LMI-based approach and genetic algorithm

This paper considers the robust-optimal design problems of output feedback controllers for linear systems with both time-varying elemental (structured) and norm-bounded (unstructured) parameter uncertainties. Two new sufficient conditions are proposed in terms of linear-matrix-inequalities (LMIs) for ensuring that the linear output feedback systems with both time-varying elemental and norm-bounded parameter uncertainties are asymptotically stable, where the mixed quadratically-coupled parameter uncertainties are directly considered in the problem formulation. A numerical example is given to show that the presented sufficient conditions are less conservative than existing ones reported recently. Then, by integrating the hybrid Taguchi-genetic algorithm (HTGA) and the proposed LMI-based sufficient conditions, a new integrative approach is presented to find the output feedback controllers of the linear systems with both time-varying elemental and norm-bounded parameter uncertainties such that the control objective of minimizing a quadratic integral performance criterion subject to the stability robustness constraint is achieved. A design example of the robust-optimal output feedback controller for the AFTI/F-16 aircraft control system with the time-varying elemental parameter uncertainties is given to demonstrate the applicability of the proposed new integrative approach.     

基于LMI的输出反馈鲁棒完整性控制器设计

完整性是容错控制的一个重要研究方向,不确定系统的鲁棒完整性研究具有很强的实际意义.本文基于[0,σ]故障模型和线性矩阵不等式(LMI)方法,提出了参数不确定系统的输出反馈鲁棒完整性控制器存在的充分条件,通过求解两个矩阵不等式获得控制器,使闭环系统在传感器发生故障时仍然保持二次稳定,并对参数不确定性具有鲁棒性.数值示例说明了该方法的有效性.     

The sector bound approach to quantized feedback control

This paper studies a number of quantized feedback design problems for linear systems. We consider the case where quantizers are static (memoryless). The common aim of these design problems is to stabilize the given system or to achieve certain performance with the coarsest quantization density. Our main discovery is that the classical sector bound approach is nonconservative for studying these design problems. Consequently, we are able to convert many quantized feedback design problems to well-known robust control problems with sector bound uncertainties. In particular, we derive the coarsest quantization densities for stabilization for multiple-input-multiple-output systems in both state feedback and output feedback cases; and we also derive conditions for quantized feedback control for quadratic cost and H/sub /spl infin// performances.     

Adaptive control for output feedback nonlinear systems in the presence of modeling errors

The paper is extending output feedback nonlinear control and backstepping approaches to a class of systems approximately diffeomorphic to output feedback systems that include unknown functions. The unknown functions are addressed via online function approximation, which results in two types of uncertainty. Parametric uncertainty due to online function approximation and non-parametric uncertainty. The non-parametric uncertainty results from the inability of any function approximator to perfectly model an unknown function and from terms unmodeled by the output feedback form. The non-parametric terms are assumed to be bounded by unknown constants. The backstepping procedure is applied to adapt with respect to both parametric uncertainties and the upper bound on the non-parametric uncertainties.     

不确定相似组合系统的分散自适应输出反馈控制

本文讨论了不确定组合大系统的分散自适应输 出反馈控制问题,不确定项满足通常的匹配条件．针对不确定项界未知的情形,通过设计自 适应输出反馈控制器,使系统渐近稳定．仿真结果表明本文的设计方法是有效的．