2025 |
Hyuntae Kim / Gyunghoon Park / Hyungbo Shim Robust disturbance rejection for uncertain linear system with time-varying exo-system: A disturbance observer approach Journal Article In: Automatica, iss. 174, pp. 112100, 2025, ISSN: 0005-1098. Abstract | Links | BibTeX | Tags: Disturbance observer, Internal model principle, Linear Systems @article{nokey,This paper addresses the problem of completely eliminating modeled disturbance that enters linear minimum-phase systems having parametric uncertainty and is generated by a linear time-varying exo-system. Motivated by the internal model principle (IMP), the core is to append a filter in front of the plant, such that (a) the disturbance model is embedded into the filter dynamics and (b) the filter is of minimum phase. Then the cascade connection of the plant and the filter is robustly stabilized by employing a disturbance observer (DOB)-based controller. In addition to simplicity in the design over the existing IMP-based approaches, the proposed controller also enjoys benefits of the DOB techniques, such as robustness against large parametric uncertainty and additional unmodeled disturbance, and guaranteeing a pre-defined nominal tracking performance in both transient and steady-state. Stability and performance of the controller are analyzed by the singular perturbation theory. |
2024 |
Sunghyun Koo / Hyungbo Shim Reference-Tracking Sliding-Mode Control Robust to Mismatched Exogenous Disturbances Proceedings Article In: 2024 14th Asian Control Conference, pp. 848-853, 2024, ISBN: 978-9-8875-8159-8. Abstract | Links | BibTeX | Tags: Internal model principle, Output regulation, Sliding mode control @inproceedings{nokey,A dynamic state-feedback sliding-mode controller (SMC) based on the internal model principle (IMP) is proposed for the tracking of exogenous signals. The proposed SMC is robust to both matched disturbances and mismatched exogenous disturbances. It also achieves robustness to matched parametric uncertainties and a certain degree of mismatched parametric uncertainties. The stability of the closed-loop system and the existence of a global solution are theoretically guaranteed by a specific initialization of the internal model. Its performance is demonstrated through numerical simulations. |
2019 |
Jin Gyu Lee / Hyungbo Shim Behavior of a network of heterogeneous Li´enard systems under strong output coupling Proceedings Article In: Proc. of 8th IFAC Symposium on Mechatronic Systems & 11th IFAC Symposium on Nonlinear Control Systems, pp. 256-261, IFAC, Vienna, Austria, 2019. Abstract | Links | BibTeX | Tags: Approximate synchronization, Blended dynamics, Heterogeneous multi-agents, Internal model principle, Lienard system, Oscillations, Singular perturbation, Strong coupling @inproceedings{LeeShim19b,In this paper, to participate in the understanding of a biological system, we analyze the synchronous and oscillatory behavior of coupled Liénard systems. In particular, we will consider a network of heterogeneous Liénard systems under output diffusive coupling to take into account two fundamental characteristics of a biological system. The key idea in this work is to emphasize the role of a network, which introduces an emergent behavior that each individual element approximately follows, hence making elements approximately synchronize. The intuition comes from a series of developments recently made in the name of ‘blended dynamics,’ and thus, the common philosophy of ‘blended dynamics’ approach enables us to illustrate a biological phenomenon that collective behavior is preserved even when there are some malfunctioning elements. |
2018 |
Gyunghoon Park / Hyungbo Shim / Youngjun Joo Recovering Nominal Tracking Performance in an Asymptotic Sense for Uncertain Linear Systems Journal Article In: SIAM Journal on Control and Optimization, vol. 56, no. 2, pp. 700-722, 2018. Abstract | Links | BibTeX | Tags: Disturbance observer, Internal model principle, Nominal performance recovery, Robustness @article{ParkShimJoo18,In this paper, we consider the problem of recovering a (predefined) nominal output trajectory in the presence of model uncertainty and external disturbance. In particular, whereas the nominal performance recovery (NPR) has been studied in an approximate fashion in the literature, we extend the notion of the NPR in an asymptotic sense from the perspective of the internal model principle: that is, as long as the disturbance and reference signals are generated by an exogenous system, the actual output not only is kept close to the nominal trajectory as much as desired but also asymptotically converges to the nominal one as time elapses. It is shown via the singular perturbation theory that the asymptotic NPR can be achieved for uncertain minimum-phase systems under arbitrarily large (but bounded) model uncertainty. A disturbance observer (DOB) approach is employed in the controller design, with the internal model embedded into the so-called Q-filter, which is a key component of the DOB. Simulation results for mechanical positioning systems illustrate that the asymptotic NPR can enhance robust performance of control systems. |
List of English Publication
2025 |
Robust disturbance rejection for uncertain linear system with time-varying exo-system: A disturbance observer approach Journal Article In: Automatica, iss. 174, pp. 112100, 2025, ISSN: 0005-1098. |
2024 |
Reference-Tracking Sliding-Mode Control Robust to Mismatched Exogenous Disturbances Proceedings Article In: 2024 14th Asian Control Conference, pp. 848-853, 2024, ISBN: 978-9-8875-8159-8. |
2019 |
Behavior of a network of heterogeneous Li´enard systems under strong output coupling Proceedings Article In: Proc. of 8th IFAC Symposium on Mechatronic Systems & 11th IFAC Symposium on Nonlinear Control Systems, pp. 256-261, IFAC, Vienna, Austria, 2019. |
2018 |
Recovering Nominal Tracking Performance in an Asymptotic Sense for Uncertain Linear Systems Journal Article In: SIAM Journal on Control and Optimization, vol. 56, no. 2, pp. 700-722, 2018. |