Coordinated Control for Incomplete Controllable Systems over Finite Fields

Controller design is discussed for coordinated control problems of incomplete controllable systems over finite fields. Generalized types of consensus and synchronization are proposed, respectively. Combined with high-order fully actuated system approaches, incomplete controllable systems are decoupled. Under some circumstances, suitable controllers are given to achieve consensus or synchronization in the general context. Finally, a numerical example about camera light network is shown to verify our results.