Abstract
The non-fragile reliable controller design problem for a dynamic interval system against actuator failures in the input channels and a given quadratic cost function is discussed. A sufficient condition is established such that the closed-loop system stability and cost function is guaranteed to be no more than a certain upper bound with all admissible uncertainties as well as actuator failures. A modified interval system described by matrix factorization will lead to less conservative conclusions. An effective linear matrix inequality (LMI) approach is developed to solve the addressed problem. Furthermore, a convex optimization problem is formulated to design the optimal non-fragile reliable guaranteed cost controller which minimizes the upper bound of the closed-loop system cost. The effectiveness of this approach has been verified on an aircraft angle control system design. Simulation results on a test example are presented to validate the proposed design approach.
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