[show abstract][hide abstract] ABSTRACT: In this work, we provide a framework for the design of linear state feedback controllers for a class of continuous-time conic nonlinear systems driven by finite energy disturbances. This controller design is presented for various performance criteria in a unified framework using linear matrix inequalities in the formulation. Illustrative examples are included.
[show abstract][hide abstract] ABSTRACT: Much of the recent work on robust control or observer design has focused on preservation of stability of the controlled system or the convergence of the observer in the presence of parameter perturbations in the plant or the measurement model. The present work addresses the important problem of resilience or non-fragility of a discrete-time observer which is the maintenance of convergence or performance when the observer is erroneously implemented due possibly to computational errors i.e. round off errors in digital implementation or sensor errors, etc. A linear matrix inequality approach is presented that optimizes performance in the implementation based on the knowledge of an upper bound on the variance of the error in the observer gain. Examples complement the theoretical results.