Discrete-time resilient controller design with general criteria for a class of uncertain nonlinear systems

A discrete-time resilient state feedback control scheme is presented to control nonlinear systems with locally conic type of nonlinearities and driven by finite energy disturbances. The resilience property is achieved in the presence of bounded perturbations in the feedback gain. The controller design is also robust as the design process addresses system models containing a higher degree of uncertainty by allowing perturbations in both the system parameters as well as the center and the boundaries of the cone in which the nonlinearity resides. Results are presented for various performance criteria in a unified framework using linear matrix inequalities (LMIs). Illustrative examples are included to demonstrate the efficiency of the proposed approach.