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This paper presents a generalized theoretical framework for carrier tracking of global navigation satellite systems signals by constructing a state space representation for the carrier tracking loop and applying control system design techniques to derive state feedback and state estimator gain matrices. Both phase-locked loop and frequency-locked loop are studied using this approach. Their performances...
This paper investigates the consensus problem for a class of heterogeneous singular multi-agent systems. Based on graph, algebra and singular system theory, sufficient and necessary conditions are obtained. The conditions depend on the topologies of heterogeneous singular multi-agent systems and the structure properties of each agent dynamics. Moreover, the distributed consensus protocol is designed...
For descriptor multi-agent systems (DMASs) with agents described by the same or different descriptor linear time-invariant systems, the conditions of consensusability with respect to a set of admissible consensus protocols are proposed by using the tools of algebra, graph and descriptor linear system theory. The consensusability conditions depend on both the structure properties of each agent's dynamics...
This paper investigates the problem of robust H∞ control for linear time-delay singular systems with linear fractional parametric uncertainties. By linear matrix inequality approach, a sufficient condition is given for the existence of a memory state feedback controller, which guarantees that the closed-loop systems are admissible with an H∞ norm bound γ for all admissible uncertainties. Meanwhile,...
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