Static output feedback adaptive integral sliding control for interconnected nonlinear systems

The problem of static output feedback decentralization of uncertain inter-connected systems is concerned with the goal of decoupling Lipschitz non-linear systems into individual “decentralized” subsystems, satisfying stability and fault-tolerance objectives. This work proposes a strategy for decentralized control in which each subsystem uses a static output structure invoking an approach to separation principle recovery. The approach is based on Adaptive Integral Sliding Model Control (AISMC) with careful consideration of both matched and unmatched uncertainties arising from inter-connections and disturbances. The proposed design strategy for the static output feedback and uncertainty de-coupling designs involves an LMI procedure to solve a non-convex problem. An example of 3 unstable inter-connected non-linear systems is used to illustrate the power of the approach.