2021/07/02 by Valessa V. Viana, Viana, Valessa V., Diego de S. Madeira +3
Mathematics · Engineering · Computer Science · #Numerical methods for differential equations #Stability and Control of Uncertain Systems #Matrix Theory and Algorithms
paper · pdf · doi:10.48550/arxiv.2107.01165
This paper proposes the design of gain-scheduled static output feedback controllers for the stabilization of continuous-time linear parameter-varying systems with L2-gain performance. The system is transformed into the form of a differential-algebraic representation which allows dealing with the broad class of systems whose matrices can present rational or polynomial dependence on the parameter. The proposed approach uses the definition of strict QSR dissipativity, Finsler's Lemma, and the notion of linear annihilators to formulate conditions expressed in the form of polytopic linear matrix inequalities for determining the gain-scheduled static output feedback control for system stabilization. One of the main advantages of the strategy is that it provides a simple design solution in a non-interactive manner. Furthermore, no restriction on the plant output matrix is imposed. Numerical examples highlight the effectiveness of the proposed method.