CONSTRUCTION OF OPTIMAL BLOCKING SCHEMES FOR ROBUST PARAMETER DESIGNS

Robust parameter design （RPD） is an important issue in experimental designs. If all experimental runs cannot be performed under homogeneous conditions, blocking the units is effective. In this paper, we obtain the correspondence relation between fractional factorial RPDs and the blocking schemes for full factorial RPDs. In addition, we provide a construction of optimal blocking schemes that make all main effects and control-by-noise two-factor interactions estimable.

The Method for Optimum Design of Water Rocket Flight Stability Performance Conditions Using CAE with T Method and Robust Parameter Design

A water rocket is a rocket system that obtains thrust by injecting water with compressed air of up to about 8 atmospheres. It is usually manufactured using a pressure-resistant PET bottle. The mechanical elements and principles contained in the water rocket have much in common with the actual small rocket system, and are suitable as educational and research teaching materials in the field of mechanics. Especially in the field of disaster prevention and mitigation, the use of water rockets is being researched and developed as a rescue tool in the event of a flood or earthquake as a disaster countermeasure. However, since the water rocket is a flying object based on the mechanical principle, it is important to ensure the accuracy and stability of the flight path. In this paper, a mechanical simulator is developed with a numerical calculation program based on the mechanical consideration of water rocket flight performance. In addition, the correlation between the flight distance obtained in the simulation and the estimated flight distance is analyzed by applying a multivariate analysis method and verifying the validity of the flight distance calculated from the result. Based on the verification results, we will apply a statistical optimization method to approach the optimization of flight stability performance conditions for water rockets.

Robust Adaptive Control of Nonholonomic Systems with Nonlinear Parameterization

全球适应的州的反馈控制策略与强壮的非线性的飘移和未知非线性的参数在锁住的形式为 nonholonomic 系统的一个类被介绍。一种参数分离技术被介绍把非线性的 parameterization nonholonomic 系统转变成一个象线性一样 parameterized nonholonomic 系统。然后，反馈支配设计被使用设计一个全球适应稳定控制器，切换的策略被开发消除 uncontrollability 的现象。建议控制器能保证那得到状态全球性集成到起源的所有系统，当另外的信号仍然保持围住时。模拟例子表明有效性和建议控制器的柔韧的特征。

PARAMETER COORDINATION AND ROBUST OPTIMIZATION FOR MULTIDISCIPLINARY DESIGN

A new parameter coordination and robust optimization approach for multidisciplinary design is presented. Firstly, the constraints network model is established to support engineering change, coordination and optimization. In this model, interval boxes are adopted to describe the uncertainty of design parameters quantitatively to enhance the design robustness. Secondly, the parameter coordination method is presented to solve the constraints network model, monitor the potential conflicts due to engineering changes, and obtain the consistency solution space corresponding to the given product specifications. Finally, the robust parameter optimization model is established, and genetic arithmetic is used to obtain the robust optimization parameter. An example of bogie design is analyzed to show the scheme to be effective.

Modified robust finite-horizon filter for discrete-time systems with parameter uncertainties and missing measurements

A robust finite-horizon Kalman filter is designed for linear discrete-time systems subject to norm-bounded uncertainties in the modeling parameters and missing measurements.The missing measurements were described by a binary switching sequence satisfying a conditional probability distribution,the commonest cases in engineering,such that the expectation of the measurements could be utilized during the iteration process.To consider the uncertainties in the system model,an upperbound for the estimation error covariance was obtained since its real value was unaccessible.Our filter scheme is on the basis of minimizing the obtained upper bound where we refer to the deduction of a classic Kalman filter thus calculation of the derivatives are avoided.Simulations are presented to illustrate the effectiveness of the proposed approach.

Robust H_∞ control for uncertain Markovian jump systems with mixed delays

We scrutinize the problem of robust H∞control for a class of Markovian jump uncertain systems with interval timevarying and distributed delays. The Markovian jumping parameters are modeled as a continuous-time finite-state Markov chain. The main aim is to design a delay-dependent robust H∞control synthesis which ensures the mean-square asymptotic stability of the equilibrium point. By constructing a suitable Lyapunov–Krasovskii functional（LKF）, sufficient conditions for delay-dependent robust H∞control criteria are obtained in terms of linear matrix inequalities（LMIs）. The advantage of the proposed method is illustrated by numerical examples. The results are also compared with the existing results to show the less conservativeness.

Solvability Condition for a Class of Parametric Robust Stabilization Problem

The robust stabilization problem (RSP) for a plant family P(s,δ,δ) having real parameter uncertainty δ will be tackled. The coefficients of the numerator and the denominator of P(s,δ,δ) are affine functions of δ with ‖δ‖p≤δ. The robust stabilization problem for P(s,δ,δ) is essentially to simultaneously stabilize the infinitely many members of P(s,δ,δ) by a fixed controller. A necessary solvability condition is that every member plant of P(s,δ,δ) must be stabilizable, that is, it is free of unstable pole-zero cancellation. The concept of stabilizability radius is introduced which is the maximal norm bound for δ so that every member plant is stabilizable. The stability radius δmax(C) of the closed-loop system composed of P(s,δ,δ) and the controller C(s) is the maximal norm bound such that the closed-loop system is robustly stable for all δ with ‖δ‖p<δmax(C). Using the convex parameterization approach it is shown that the maximal stability radius is exactly the stabilizability radius. Therefore, the RSP is solvable if and only if every member plant of P(s,δ,δ) is stabilizable.

Robust parametric approach for tracking control of an air-breathing hypersonic cruise vehicle

To realize the stabilization and the tracking of flight control for an air-breathing hypersonic cruise vehicle, the linearization of the longitudinal model under trimmed cruise condition is processed firstly. Furthermore, the flight control problem is formulated as a robust model tracking control problem. And then, based on the robust parametric approach, eigenstructure assignment and reference model tracking theory, a parametric optimization method for robust controller design is presented. The simulation results show the effectiveness of the proposed approach.

多输入多输出微振动系统的混合鲁棒自适应控制

Q参数化方法在结构振动自适应控制领域的应用中体现出明显优势.本文针对多输入多输出(MIMO)结构振动主动控制系统,利用Q参数化方法的优势,基于无限冲激响应(IIR)滤波器,提出了一种结合前馈控制与反馈控制的MIMO混合鲁棒自适应控制方法.同时,给出前馈,反馈MIMO鲁棒自适应控制方法的详细推导过程,给出混合MIMO鲁棒自适应控制方法的推导和稳定性,收敛性分析.在此基础上,通过构建三自由度微振动主动振动控制实验系统,针对单频窄带和双频窄带扰动展开了对比实验分析,相关的实验结果验证了本文所提出MIMO混合鲁棒自适应控制方法的可行性和有效性.

基于鲁棒残差观测器的分布式电网动态补偿控制

为了增强分布式电网对电压波动、谐波和三相不平衡的抗干扰能力,针对电压型逆变器设计了一种基于鲁棒残差观测器的分布式电网动态补偿控制策略。首先以dq轴坐标系为基准,建立电流基波和非基波分离的逆变器状态空间模型,依据所设计的动态补偿控制结构将电能质量问题分解定义为逆变器dq坐标系下状态空间模型的扰动输入。其次根据鲁棒尤拉参数化稳定控制器理论推导出基于鲁棒残差观测器的动态补偿控制结构,并对其正确性加以证明。然后参考鲁棒模型匹配原理使用线性矩阵不等式(linearmatrix inequality,LMI)对电压动态补偿控制器进行求解,同时完成电流环控制器的二次动态补偿,并通过小信号稳定性分析证明系统的稳定性。最后将鲁棒残差观测器动态补偿结构加入到逆变器双闭环控制中,改善分布式电网电压的电能质量问题,并在AppSIM半实物仿真系统平台上验证其有效性,其结果证明该策略可以在不改变原控制系统结构和参数基础上,提升抗干扰能力和鲁棒控制效果。

一类非线性参数系统的鲁棒自适应控制

针对一类具有非线性参数和未知非线性的非线性系统 ,提出了一种鲁棒自适应控制设计方法 ,该方法能保证所有信号全局一致有界 。

柔性悬臂梁柔度6σ稳健优化设计

在柔顺机构优化中如何考虑设计变量的随机波动与外界随机载荷的不确定性干扰成为柔性机构稳健可靠性保障的关键问题。引入6σ稳健设计方法,建立了稳定性优化模型,并对以柔性悬臂梁为载体的柔顺机构进行了柔度稳健优化设计,通过与传统柔性悬臂梁柔度确定性优化结果对比表明,其柔度稳健水平达到了8σ,验证了6σ稳健优化设计具有良好的效果。

基于性能稳健指数的产品族稳健优化设计

针对设计参数随机波动引起的产品族性能稳健问题,提出了一种基于性能稳健指数的产品族稳健优化设计方法。以区间型设计参数的稳健设计为研究对象,为度量设计的稳健性,提出了性能稳健指数概念和计算方法。在此基础上,通过分析设计参数的灵敏度来选择平台参数,使用模糊C均值算法对性能变化进行聚类以确定平台参数的共享策略。最后以性能稳健指数作为约束条件的判据,构建了稳健优化模型,提高了实例产品的稳健性。通过通用电机产品族的稳健优化设计实例,验证了该方法的有效性和可行性。

振动二阶Sylvester矩阵方程鲁棒解法及仿真分析

考虑了具有参数不确定的振动二阶Sylvester矩阵方程求解问题。基于二阶Sylvester矩阵方程解的参数化表达式,将具有参数不确定的振动二阶Sylvester矩阵方程求解问题转化为误差性能指标极小化问题。提出了求解具有参数不确定的振动二阶Sylvester矩阵方程问题的算法。数值算例及仿真分析验证了所提算法的有效性。

高速再入飞行器的鲁棒自动驾驶仪设计

针对高速再入飞行器的自动驾驶仪设计问题,基于鲁棒参数化方法,采用特征结构配置和模型参考跟踪理论设计BTT飞行器姿态控制系统的鲁棒控制器,完成对于制导信号的快速跟踪。本设计的鲁棒镇定器是一个不随滚动角速度变化也无需切换的定常反馈镇定律,结构简单,便于工程实现。通过分析高速再入飞行器的特点,给出了简单可行的控制方案。将所设计的控制器应用于飞行器非线性模型进行了六自由度仿真试验。仿真时考虑了系统执行机构的时滞和饱和特性。仿真结果验证了所设计的控制器的有效性。

自适应广义预测控制系统的鲁棒稳定性分析

研究当被控对象具有未建模动态、参数时变、非线性以及有界干扰时，自适应广义预测控制系统的鲁棒稳定性。提出了分析和设计鲁棒自适应广义预测控制系统的一般理论和方法。给出了一类满足弱化鲁棒稳定性条件的鲁棒参数自适应算法，并根据确定性等价原理将它和鲁棒广义预测控制律结合，建立了鲁棒间接自适应广义预测控制算法。采用统一的理论分析了已建立的自适应广义预测控制算法的全局稳定性和鲁棒性，得出了自适应控制系统具有鲁棒稳定性的新条件：自适应验后误差和对象参数估值变化的均值渐近小，从而弱化了现有自适应控制系统的鲁棒稳定性条件。

含未建模动态的非线性参数系统的鲁棒自适应控制

许多实际系统如生化过程、带有摩擦的机器等都是具有不确定性的非线性参数系统。如何有效地控制这类系统是-富有挑战性问题。针对一类重要的非线性参数系统提出了一种鲁棒自适应控制器,可用于存在参数和非线性不确定性、未知扰动和未建模动态的情况。该鲁棒自适应控制器的设计是基于控制李亚普诺夫函数法,通过引入一动态信号和自适应非线性阻尼来抑止未建模动态、非线性不确定性和未知有界扰动的影响,同时采用反推设计方法来克服控制器设计的复杂性。所提方法不必对系统的未知参数进行估计,且无论系统的阶次多高、未知参数多少,只需要一个自适应参数。理论证明,所提出的鲁棒自适应控制器可保证整个具有不确定性的非线性参数系统的稳定性,且通过适当选择设计参数,可使状态以任意精度趋于平衡点。仿真结果例证了所提方法的有效性。

不确定Delta算子系统的鲁棒H_∞重构控制

讨论一类含有参数不确定和执行器故障的Delta算子系统鲁棒H_∞重构控制设计问题。通过利用故障检测与隔离(FDI)技术,在考虑不可检测故障执行器输入为能量有界的干扰信号情形下,基于H_∞干扰抑制的思想,给出了系统可鲁棒H_∞镇定的充分条件。所设计的控制器可使闭环系统鲁棒稳定,而且对可允许的不确定性和执行器故障具有一定的H_∞性能。数值例子说明了本文设计方法的有效性。

设计高阶PI观测器对线性系统故障作鲁棒检测

针对具有干扰的线性定常系统,研究了基于高阶PI观测器的鲁棒故障检测设计问题.基于Sylveste矩阵方程的参数化解,给出了干扰与残差解耦的充要条件,并提出了基于高阶PI观测器的线性系统鲁棒故障检测参数化设计方法.数值算例及仿真分析表明所提鲁棒故障检测参数化设计方法是有效的.

基于广义内模控制的时滞系统主动容错控制设计

为了提高动态系统的可靠性,研究了多状态时滞系统的主动容错控制.给出了基于广义内模控制设计的容错控制器设计方法.该容错控制器由两部分构成,分别针对系统的性能和鲁棒性.只有当系统发生故障时,控制器中针对鲁棒性(容错性)的部分才会起作用,从而保证系统在没有故障时具有尽量好的性能,而当故障发生后具有容错功能.通过一个仿真算例,验证了方法的有效性.