随机变量导致工程问题具有不确定性.设计者希望设计方案不仅能满足目标性能最优,而且希望目标性能受不确定性的影响在可接受范围之内.对此,本文提出了考虑灵敏度区域的多目标鲁棒性优化方法(multi-objective robust optimization based ...随机变量导致工程问题具有不确定性.设计者希望设计方案不仅能满足目标性能最优,而且希望目标性能受不确定性的影响在可接受范围之内.对此,本文提出了考虑灵敏度区域的多目标鲁棒性优化方法(multi-objective robust optimization based on sensitivity region,SR–MORO).SR–MORO可以用来解决设计变量存在不确定性时目标鲁棒性优化设计问题.该方法假定不确定性变量属于区间变量,并不需要知道随机变量的概率分布.SR–MORO采用非梯度优化方法,所以,它可以解决目标函数和约束条件不连续的情况.当参数变化幅度大,超过目标函数线性变化范围,该方法也同样适用.最后,通过实例验证了本方法的适用性.展开更多
A robust H∞ directional controller for a sampled-data autonomous airship with polytopic parameter uncertainties was proposed. By input delay approach, the linearized airship model was transformed into a continuous-ti...A robust H∞ directional controller for a sampled-data autonomous airship with polytopic parameter uncertainties was proposed. By input delay approach, the linearized airship model was transformed into a continuous-time system with time-varying delay. Sufficient conditions were then established based on the constructed Lyapunov-Krasovskii functional, which guarantee that the system is mean-square exponentially stable with H∞ performance. The desired controller can be obtained by solving the obtained conditions. Simulation results show that guaranteed minimum H∞ performance γ=1.4037 and fast response of attitude for sampled-data autonomous airship are achieved in spite of the existence of parameter uncertainties.展开更多
文摘随机变量导致工程问题具有不确定性.设计者希望设计方案不仅能满足目标性能最优,而且希望目标性能受不确定性的影响在可接受范围之内.对此,本文提出了考虑灵敏度区域的多目标鲁棒性优化方法(multi-objective robust optimization based on sensitivity region,SR–MORO).SR–MORO可以用来解决设计变量存在不确定性时目标鲁棒性优化设计问题.该方法假定不确定性变量属于区间变量,并不需要知道随机变量的概率分布.SR–MORO采用非梯度优化方法,所以,它可以解决目标函数和约束条件不连续的情况.当参数变化幅度大,超过目标函数线性变化范围,该方法也同样适用.最后,通过实例验证了本方法的适用性.
基金Projects(51205253,11272205)supported by the National Natural Science Foundation of ChinaProject(2012AA7052005)supported by the National High Technology Research and Development Program of China
文摘A robust H∞ directional controller for a sampled-data autonomous airship with polytopic parameter uncertainties was proposed. By input delay approach, the linearized airship model was transformed into a continuous-time system with time-varying delay. Sufficient conditions were then established based on the constructed Lyapunov-Krasovskii functional, which guarantee that the system is mean-square exponentially stable with H∞ performance. The desired controller can be obtained by solving the obtained conditions. Simulation results show that guaranteed minimum H∞ performance γ=1.4037 and fast response of attitude for sampled-data autonomous airship are achieved in spite of the existence of parameter uncertainties.
