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Robust Stabilization of Plants with both Parameter Perturbation and Unstructured Uncertainty
Tielong Shen,Katsutoshi Tamura 대한전자공학회 1992 대한전자공학회 학술대회 Vol.1992 No.10
In this paper a robust stabilization problem is discussed for plant with both time-varying parameter perturbations and unstructured uncertainty. It is shown that, a robust L₂-stabilizing controller can be obtained by solving an H∞ standard problem with a scaling parameter. Using an H∞ design method, a robust L₂-stabilizing controller is drived. Finally, a numerical example is given.
Po Li,Tielong Shen,Kaipei Liu,Junichi Kako,Shozo Yoshida 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10
This paper presents a torque balancing control method for multi-cylinder SI engines. The deviation in average torque generation of sections with equal crank angle interval in ignition event scale is introduced as the index for balancing. Moreover, based on crank shaft dynamics in crank angle domain, an estimation method for this index from engine speed measurement is developed to avoid torque measurement. According to analysis in coupling characteristic in torque generation between cylinders, a 2nd order ARMA model is established for the dynamics from spark ignition to the index. Then model predictive control technique is used in regulation. Finally, the proposed model, estimation method and controller are validated by simulation where the engine model is provided by SICE benchmark problem.
Feedback Stabilization of a Class of Time-delay Systems with Discontinuity
Jiangyan Zhang,Tielong Shen 제어로봇시스템학회 2008 제어로봇시스템학회 국제학술대회 논문집 Vol.2008 No.10
In this paper, a feedback stabilization approach is proposed for a class of time-delay systems with discontinuity based on functional differential inclusions. By extending the differential inclusion in the sense of Filippov to functional differential inclusion, a notion of the solution for time-delay systems with discontinuity is presented that is defined satisfying the proposed Filippov set-valued functional. With this notion, it is shown that both the Lyapunov-Krasovskii stability theorem and the LaSalle invariance principle can be easily extended to discuss the stability problem of time-delay systems with discontinuity. Based on the introduced analysis tools, it is proved that a feedback stabilization controller can be obtained for a class of nonlinear time-delay systems with discontinuity such that the closed loop system is strongly asymptotically stable. Simulation result of a numerical example is given to demonstrate the proposed control approach.