Finite-time shifting control for LPV systems with parameter-varying time delays via state feedback

In this paper, the problem of designing a parameter-scheduled state-feedback controller for LPV systems is investigated. First, the concept of finite-time stability are extended, introducing shifting specifications. Then, by using parameter-dependent Lyapunov-Krasovskii functional, a new delay-dependent finite-time stability criterion is derived. Moreover, based on the criterion, sufficient conditions for the design of stabilizer are provided, which can guarantee the closed-loop system shifting finite-time stable. By using the existing parameters, the controller can be designed in such a way that different values of these parameters imply different characteristics of the finite-time stability property. In this way, the performance of the control system can be varied during its operation. With the help of the efficient interior-point algorithms, both analysis and synthesis conditions are formulated in terms of linear matrix inequalities (LMIs).