2013 |
Aneel Tanwani / Hyungbo Shim / Daniel Liberzon Observability for Switched Linear Systems: Characterization and Observer Design Journal Article In: IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 891-904, 2013. Abstract | Links | BibTeX | Tags: Linear system, Time-varying system @article{TanwaniShimLiberzon13, This paper presents a characterization of observability and an observer design method for switched linear systems with state jumps. A necessary and sufficient condition is presented for observability, globally in time, when the system evolves under predetermined mode transitions. Because this characterization depends upon the switching signal under consideration, the existence of singular switching signals is studied alongside developing a sufficient condition that guarantees uniform observability with respect to switching times. Furthermore, while taking state jumps into account, a relatively weaker characterization is given for determinability, the property that concerns with recovery of the original state at some time rather than at all times. Assuming determinability of the system, a hybrid observer is designed for the most general case to estimate the state of the system and it is shown that the estimation error decays exponentially. Since the individual modes of the switched system may not be observable, the proposed strategy for designing the observer is based upon a novel idea of accumulating the information from individual subsystems. Contrary to the usual approach, dwell-time between switchings is not necessary, but the proposed design does require persistent switching. For practical purposes, the calculations also take into account the time consumed in performing computations. |
2012 |
Jaeyong Kim / Jongwook Yang / Jung-Su Kim / Hyungbo Shim Practical Consensus for Heterogeneous Linear Time-Varying Multi-Agent Systems Proceedings Article In: Proc. of 2012 12th International Conference on Control, Automation and Systems (ICCAS), pp. 23-28, IEEE, JeJu Island, South Korea, 2012. Abstract | BibTeX | Tags: Linear system, Time-varying system @inproceedings{KimYangKimShim12, This paper studies practical consensus (PC) problem for linear multi-agent systems (MAS) under a fixed, connected, and undirected communication network. PC means that the difference between any two agents remains in an arbitrarily chosen neighborhood of the origin after some time by using a suitable control law. All the agents, which are heterogeneous first-order linear time-varying (LTV) systems, can collect only relative state information from their neighborhoods. According to the assumptions of MAS, we divide the problem into two cases; one is a class of homogeneous LTV MAS with heterogeneous disturbances where the difference between any two disturbances is bounded, and the other is a class of heterogeneous LTV MAS with heterogeneous bounded disturbances. Finally, we show that PC for each case is always achieved if the control gain is sufficiently large. |
Jin Heon Seo / Juhoon Back / Hongkeun Kim / Hyungbo Shim Output Feedback Consensus for High-order Linear Systems Having Uniform Ranks Under Switching Topology Journal Article In: IET Control Theory and Applications, vol. 6, no. 8, pp. 1118-1124, 2012. Abstract | Links | BibTeX | Tags: Time-varying system @article{SeoBacKimShim12, This study addresses a challenging problem on the consensus of multi-agent systems, that is, simultaneously deals with the high-order linear multi-agent systems (including single and double integrators, and harmonic oscillators) and time-varying interaction topology. The interaction topology is assumed to switch among a finite number of connected undirected graphs having a non-vanishing dwell time. It is also constrained that each agent can use only the system outputs of its neighbouring agents for the purpose of feedback. Under these conditions, the authors propose two high-gain dynamic consensus protocols, one with multiple time-scale based and the other single time-scale, for the uniform rank systems without finite zeros. An example is provided to validate the proposed protocols. |
List of English Publication
2013 |
Observability for Switched Linear Systems: Characterization and Observer Design Journal Article In: IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 891-904, 2013. |
2012 |
Practical Consensus for Heterogeneous Linear Time-Varying Multi-Agent Systems Proceedings Article In: Proc. of 2012 12th International Conference on Control, Automation and Systems (ICCAS), pp. 23-28, IEEE, JeJu Island, South Korea, 2012. |
Output Feedback Consensus for High-order Linear Systems Having Uniform Ranks Under Switching Topology Journal Article In: IET Control Theory and Applications, vol. 6, no. 8, pp. 1118-1124, 2012. |