Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10226036 | Journal of the Franklin Institute | 2018 | 25 Pages |
Abstract
In this paper, we solve the problem of hybrid output unification of two local output feedback controllerU0 and U1 for linear systems subject to input saturation. The closed-loop system with the controller U0 has a smaller region of attraction R0 and higher decay rate Ï0, while the closed-loop system with U1 has a larger region of attraction R1 and a slower decay rate Ï1, R0âR1 and Ï0â¯>â¯Ï1. To the best of our knowledge, the problem of unification of two local output feedback controller, has been solved only in the recent papers [17] and [2]. In [17], the problem of unification of two output controller is solved by using two norm estimators and a trigger time Ï* to switch from the “global” controller to the “local” one, where it is defined in [17] and chosen sufficiently large. The work [2] proves that it can be selected arbitrarily small. Such choice of Ï* minimizes the use of the slow controller U1 and, thus, ameliorates the performance significantly. In this paper, the solution of the unification problem is formulated by means of linear matrix inequalities (LMIs), which can be easily verified numerically. The numerical example given in this paper compares the performance of the proposed hybrid controller with hybrid controllers in [17] and [2].
Related Topics
Physical Sciences and Engineering
Computer Science
Signal Processing
Authors
Abdallah Benabdallah, Walid Hdidi,