Robust Positive Invariant Set Research Articles

Robust invariant sets for constrained storage systems

Several items are produced and stored into n buffers in order to supply an external demand without interruptions. We consider the classical problem of determining control laws and smallest buffer levels guaranteeing that an unknown bounded demand is always satisfied. A simple model with n decoupled integrators and n additive bounded disturbances is employed. The coupling arises from bounds on the total production capacity and on the total demand. Invariant set theory for linear and switched linear systems is exploited to compute robust positive invariant sets and controlled robust invariant sets for two commonly adopted scheduling policies. This paper provides the explicit expression of the invariant sets for any arbitrary n .

Positive invariant sets for fault tolerant multisensor control schemes

Positive invariance is a common analysis and control design tool for systems affected by constraints and disturbances. The present paper revisits the construction of ∈-approximations of minimal robust positive invariant sets proposing contractive procedures in the cases of switching between different sets of disturbances and the inclusion of a predefined region of the state space. The results are used in multisensor control schemes which have to deal with specific problems originated by the switching between different estimators and by the presence of faults. Within this framework, global stability of the switching strategies can be assured if the invariant sets topology allows the exclusive selection of estimates obtained from healthy sensors.