This paper addresses the design problem of GainScheduled (GS) H2 filters for Linear Parameter-Varying (LPV) systems under the condition that only inexactly measured scheduling parameters are available. The state-space matrices of the LPV systems are supposed to be polynomially parameter dependent and those of filters which are to be designed are supposed to be rationally parameter dependent. Th...

Abstract The present paper deals with a class of third-order differential operators eigenparameter dependent boundary conditions. continuity eigenvalues concerning given parameter is proved. Moreover, the derivative formulas parameters, in particular, condition matrix, are given.

This paper considers the problem of synthesizing a parameter-dependent output feedback controller for continuous-time linear parameter varying (LPV) systems so that a prespeciied bound on signal amplitude is satissed by the controlled system. The main result of the paper is a suucient condition for the existence of an LPV controller which guarantees an upper bound on the induced-L1 norm of the ...

Abstract— In this paper we study the problem of H∞ control of linear parameter-varying (LPV) discrete-time systems with delays. In an LPV system, the state-space matrices are a function of time-varying parameters which are assumed to be real-time measurable. We utilize a parameter-dependent Lyapunov function to establish a delay-dependent H∞ performance condition for the LPV system with unknown...

In this paper, we show a method of estimating l∞-norm of an output signal of discrete-time feedback systems with saturation nonlinearities. The analysis condition for estimating l∞-norm is derived based on the parameter dependent Lyapunov function (PDLF) and is reduced to a condition based on the linear matrix inequality (LMI) representation. Further, we show that the condition is guaranteed to...