Fault-Tolerant Stabilization in Discrete-Time Multiple-Integrator Networks with General Information Sharing

The paper considers a network of agentswith identical discrete-timemultiple-integrator dynamics. The agents share information according to an arbitrary topology. The information is relative to the states corresponding to some of the highest integration levels.With reference to this setting, a decentralized stabilization problem is faced, under the further assumption that faults may occur in the communication apparatus of one or several of the agents. A necessary and sufficient solvability condition is presented for the problem, together with formulas for a class of least-order regulators

Two fault-tolerant control problems for multiple-integrators networks

The paper considers a network of agents with multiple-integrator internal dynamics, which share partial information on their states according to an arbitrary topology. For this system, two control problems are addressed and solved. The first consists in assigning the dominant closed-loop poles. The second consists in achieving a specified consensus with arbitrarily fast dynamics. In both cases, the regulator is required to be decentralized and the controlled network has to result tolerant with respect to faults in the communication apparatuses of the agents