Aiming at a class of nonlinear systems with multiple equilibrium points, we present a dual-mode model predictive control algorithm with extended terminal constraint set combined with control invariant set and gain sch...Aiming at a class of nonlinear systems with multiple equilibrium points, we present a dual-mode model predictive control algorithm with extended terminal constraint set combined with control invariant set and gain schedule. Local LQR control laws and the corresponding maximum control invariant sets can be designed for finite equilibrium points. It is guaranteed that control invariant sets are overlapped each other. The union of the control invariant sets is treated as the terminal constraint set of predictive control. The feasibility and stability of the novel dual-mode model predictive control are investigated with both variable and fixed horizon. Because of the introduction of extended terminal constrained set, the feasibility of optimization can be guaranteed with short prediction horizon. In this way, the size of the optimization problem is reduced so it is computationally efficient. Finally, a simulation example illustrating the algorithm is presented.展开更多
针对带有未知但有界(Unknown But Bounded-UBB)噪声的非线性系统的建模及其故障检测问题,提出了一种集员辨识与T-S模糊模型相结合的非线性系统建模及其故障检测算法。在建立非线性系统模型时,利用系统正常状态下的运行数据,选用T-S模型...针对带有未知但有界(Unknown But Bounded-UBB)噪声的非线性系统的建模及其故障检测问题,提出了一种集员辨识与T-S模糊模型相结合的非线性系统建模及其故障检测算法。在建立非线性系统模型时,利用系统正常状态下的运行数据,选用T-S模型对其进行离线建模。首先采用模糊聚类的方法对输入空间进行模糊划分,然后利用T-S模型为参数线性模型的特点,使用参数线性集员辨识算法辨识T-S模型的结论参数。由于集员辨识算法所得到的是参数的集合估计,在系统运行过程中,可以很方便地利用所建模型预测实际系统的输出范围,如果测量所得实际系统的输出不在预测输出范围之内,则可判断系统发生了故障。通过与其他算法相比,验证了本方法的性能。展开更多
基金Supported by National Natural Science Foundation of P. R. China (60474051, 60534020)Development Program of Shanghai Science and Technology Department (04DZ11008)the Program for New Century Excellent Talents in Universities of P. R. China (NCET)
文摘Aiming at a class of nonlinear systems with multiple equilibrium points, we present a dual-mode model predictive control algorithm with extended terminal constraint set combined with control invariant set and gain schedule. Local LQR control laws and the corresponding maximum control invariant sets can be designed for finite equilibrium points. It is guaranteed that control invariant sets are overlapped each other. The union of the control invariant sets is treated as the terminal constraint set of predictive control. The feasibility and stability of the novel dual-mode model predictive control are investigated with both variable and fixed horizon. Because of the introduction of extended terminal constrained set, the feasibility of optimization can be guaranteed with short prediction horizon. In this way, the size of the optimization problem is reduced so it is computationally efficient. Finally, a simulation example illustrating the algorithm is presented.
文摘针对带有未知但有界(Unknown But Bounded-UBB)噪声的非线性系统的建模及其故障检测问题,提出了一种集员辨识与T-S模糊模型相结合的非线性系统建模及其故障检测算法。在建立非线性系统模型时,利用系统正常状态下的运行数据,选用T-S模型对其进行离线建模。首先采用模糊聚类的方法对输入空间进行模糊划分,然后利用T-S模型为参数线性模型的特点,使用参数线性集员辨识算法辨识T-S模型的结论参数。由于集员辨识算法所得到的是参数的集合估计,在系统运行过程中,可以很方便地利用所建模型预测实际系统的输出范围,如果测量所得实际系统的输出不在预测输出范围之内,则可判断系统发生了故障。通过与其他算法相比,验证了本方法的性能。
