加热炉控制系统鲁棒性设计

本文探讨了多变量系统鲁棒稳定性和鲁棒对角优势的关系,得出了系统鲁棒对角优势保证系统鲁棒稳定的一般性结论,提出了一种鲁棒系统的设计方法,并在IBM微机上实现了计算机辅助设计,用该方法对大型加热炉控制系统进行了设计,结果表明,设计的系统具有鲁棒稳定性和良好的性能鲁棒性。     

鲁棒稳定性和鲁棒对角优势的关系

本文研究了多输入多输出系统的鲁棒稳定性和鲁棒对角优势的关系.不仅给出了使系统 鲁棒对角优势所需的鲁棒稳定性条件,而且还得出了系统鲁棒对角优势一定保证系统鲁棒稳 定这个一般性的结论.并可根据本文所给的结果,对允许摄动的最大边界进行估计,包括非结 构摄动的范数上界和结构性摄动的摄动矩阵的各元素的模的估计.本文得出的鲁棒对角优势 保证鲁棒稳定的结果是较少保守性的.     

一种多变量系统鲁棒设计方法

本文介绍一种多变量系统鲁棒设计方法.该方法是基于"鲁棒对角优势保证鲁棒稳定"这 个一般性结论,其核心是多模型加权准优势化算法,该算法设计的鲁棒预补偿器,使系统为鲁 棒对角优势.用该设计方法对一大型工业加热炉进行鲁棒系统设计,结果令人满意.     

鲁棒对角优势及在多变量系统鲁棒设计中应用

本文基于多变量系统奈氏阵列设计方法和鲁棒对角优势保证系统鲁棒稳定的结论,提出一种多变量系统鲁棒设计方法,该方法设计的鲁棒预补偿器使广义对象在一定摄动范围内严格符合鲁棒对角优势定义,因而系统一定是鲁棒稳定的,该方法具有保守性小,设计的控制器简单,易于工程实现等优点,用该方法对一参数不确定性工业对象进行了鲁棒系统设计,结果令人满意。     

结构不确定性系统鲁棒对角优势的实现

讨论了结构不确定性线性系统传递函数矩阵的鲁棒对角优势问题。在传统的伪对角化方法的基础上，提出了鲁棒的伪对角化方法，并研究了系统鲁棒对角优势的实现条件，最后，通过一个实例说明了该方法的有效性。’     

结构不确定线性系统鲁棒对角优势的实现

讨论了结构不确定性线性系统传递函数矩阵的鲁棒对角优势问题．在传统的伪对角化方法的基础上，提出了鲁棒的伪对角化方法，并研究了系统鲁棒对角优势的实现条件．最后，通过一个实例说明了该方法的有效性     

利用常数补偿器实现鲁棒对角优势

本文研究了利用常数补偿器实现鲁棒对角优势的问题。首先给出了系统在某一点处实现鲁棒对角优势的条件。然后研究了系统在某一频段内鲁棒对角优势的实现问题。最后通过一个算例说明了该方法的有效性。     

基于PSO的BTT飞行器鲁棒解耦控制设计

提出BTT飞行器的一种鲁棒解耦控制方法。针对飞行器具有非线性、强耦合、多输入多输出（MIM0）等特点,从飞行器数学模型分析通道间耦合产生的原因,并采用Gershgorin圆的方式,定量的分析系统的对角优势度;然后利用粒子群优化算法（PSO）得到小偏差线性模型的鲁棒解耦矩阵,使得系统满足对角优势的性质;最后设计鲁棒控制器,经仿真结果验证表明,该解耦方式的控制效果良好,并具有较强的工程应用价值。     

多变量时滞系统鲁棒稳定性

基于Smith预估技术和多变量线性系统解耦鲁棒理论,研究了多变量时滞系统鲁棒 稳定性,得到在Smith预估严格匹配时闭环系统稳定,且摄动系统为鲁棒对角优势,则摄动系 统为鲁棒稳定的一般性结论.     

SCARA型机械手的鲁棒防振控制

对ＳＣＡＲＡ型机械手的防振控制进行研究，提出了两自由度鲁棒控制法，应用μ控制理论设计鲁棒反馈控制器，保证了系统的鲁棒稳定性及鲁棒性能指标；基于模型匹配法设计前馈控制器，组成两自由度控制系统，进一步改善了闭环系统的跟踪特性。仿真研究表明，与传统的ＰＤ控制相比，该控制系统能对机械手前端的残留振支进行有效的抑制，取得较好的轨迹跟踪特性。     

鲁棒的逆Nyquist阵列(RINA)设计方法

通过大量的数值计算和回归分析找出了矩阵的对角优势度与特征值摄动量的关系,进而 提出一种鲁棒的逆Nyquist阵列(RINA)设计方法,该方法既保持了INA方法的优点,又 使控制系统具有希望的鲁棒性.并针对伪对角化方法存在的不足之处提出一种"双环优势化" 方法.此外,也澄清了Doyle和Steln关于INA方法缺乏鲁棒性的提法.     

基于INA—QFT的高超声速飞行器鲁棒控制器设计

针对高超声速飞行器数学模型的不确定性,提出基于逆奈氏阵列法设计预补偿器和定量反馈理论设计控制器相结合的方法。该方法首先对相互关联的飞行器三通道进行预补偿,使开环前向通道的逆传递函数矩阵成为对角优势阵。然后根据某型号飞行器俯仰通道多个模型参数变化范围,利用定量反馈理论进行鲁棒控制器设计。线性和非线性仿真结果表明,该方法跟踪效果良好,具有较强的工程应用价值。     

Non‐diagonal MIMO QFT controller design reformulation

This paper presents a reformulation of the full‐matrix quantitative feedback theory (QFT) robust control methodology for multiple‐input–multiple‐output (MIMO) plants with uncertainty. The new methodology includes a generalization of previous non‐diagonal MIMO QFT techniques; avoiding former hypotheses of diagonal dominance; simplifying the calculations for the off‐diagonal elements, and then the method itself; reformulating the classical matrix definition of MIMO specifications by designing a new set of loop‐by‐loop QFT bounds on the Nichols Chart, which establish necessary and sufficient conditions; giving explicit expressions to share the load among the loops of the MIMO system to achieve the matrix specifications; and all for stability, reference tracking, disturbance rejection at plant input and output, and noise attenuation problems. The new methodology is applied to the design of a MIMO controller for a spacecraft flying in formation in a low Earth orbit. Copyright © 2008 John Wiley & Sons, Ltd.     

Decentralized robust PI controller design for an industrial boiler

This paper presents a new scheme to design decentralized robust PI controllers for uncertain LTI multivariable systems. Sufficient conditions for closed-loop stability and closed-loop diagonal dominance (almost decoupling) of a multivariable system are obtained. Satisfying these conditions and robust performance of the overall system are modeled as local robust performance problems. Then, by appropriately selecting the time constants of the closed-loop isolated subsystems in the IMC (Internal Model Control) strategy, the defined local robust performance problems are solved. To design a decentralized robust PI controller for a real industrial utility boiler, a control oriented nonlinear model for the boiler is identified. The nonlinearity of the system is modeled as uncertainty for a nominal LTI multivariable system. Using the new proposed method, a decentralized PI controller for the uncertain LTI model is designed. The designed controller is applied to the real system. The simulation results show the effectiveness of the proposed methodology.     

LMI optimization approach to robust decentralized controller design

A new approach for design of robust decentralized controllers for continuous linear time‐invariant systems is proposed using linear matrix inequalities (LMIs). The proposed method is based on closed‐loop diagonal dominance. Sufficient conditions for closed‐loop stability and closed‐loop block‐diagonal dominance are obtained. Satisfying the obtained conditions is formulated as an optimization problem with a system of LMI constraints. By adding an extra LMI constraint to the system of LMI constraints in the optimization problem, the robust control is addressed as well. Accordingly, the decentralized robust control problem for a multivariable system is reduced to an optimization problem for a system of LMI constraints to be feasible. An example is given to show the effectiveness of the proposed method. Copyright © 2010 John Wiley & Sons, Ltd.