论文标题
线性不确定系统的强大自适应间隔预测控制
Robust-Adaptive Interval Predictive Control for Linear Uncertain Systems
论文作者
论文摘要
我们考虑了线性系统，状态和控制约束的稳定问题，并受到状态矩阵中有限的干扰和未知参数的影响。首先，使用一个简单的最小平方解决方案和可用的嘈杂测量值，评估了参数的可允许值集。其次，对于系统的估计的参数值集和系统的相应线性间隔模型，召回了两个间隔预测变量，并设计了使用预测间隔的不受约束的稳定控制。第三，为了确保强大的约束满意度，开发了模型预测控制算法，该算法基于对间隔预测变量提出的优化问题的解决方案。建立了递归可行性和渐近性能的条件。数字模拟说明了所提出的控制框架的效率。
We consider the problem of stabilization of a linear system, under state and control constraints, and subject to bounded disturbances and unknown parameters in the state matrix. First, using a simple least square solution and available noisy measurements, the set of admissible values for parameters is evaluated. Second, for the estimated set of parameter values and the corresponding linear interval model of the system, two interval predictors are recalled and an unconstrained stabilizing control is designed that uses the predicted intervals. Third, to guarantee the robust constraint satisfaction, a model predictive control algorithm is developed, which is based on solution of an optimization problem posed for the interval predictor. The conditions for recursive feasibility and asymptotic performance are established. Efficiency of the proposed control framework is illustrated by numeric simulations.
