In this paper, a parameterized regulator design method based on bilinear matrix inequalities (BMIs) is presented for switched linear systems, where it is desired to reject known disturbance signals and/or track known reference inputs. Switching among plant models as well among disturbance and reference signals is defined according to a switching surface. The regulator design approach consists of three steps. The first step consists of constructing a switched observer-based state-feedback central controller for the switched linear system. Switching in the controller is performed according to the same switching rule as in the plant. The second step involves augmenting the switched central-controller to construct a parameterized set of switched controllers. Conditions for internal stability of the resulting switched closed loop system are presented. In the third step, regulation conditions are derived for the switched closed loop system. Based on the regulation conditions, a regulator synthesis approach is proposed based on solving properly formulated BMIs. Finally, a numerical example is presented to illustrate the performance of the proposed regulator.
Parameterized Regulator Design Method for Switched Linear Systems
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Wu, Z, & Ben Amara, F. "Parameterized Regulator Design Method for Switched Linear Systems." Proceedings of the ASME 2006 International Mechanical Engineering Congress and Exposition. Dynamic Systems and Control, Parts A and B. Chicago, Illinois, USA. November 5–10, 2006. pp. 1665-1674. ASME. https://doi.org/10.1115/IMECE2006-16021
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