Showing papers by "Li Yu published in 1997"
04 Jun 1997
TL;DR: In this paper, the authors considered the guaranteed cost control problem of a class of uncertain linear discrete-time systems and proposed a robust state feedback guaranteed cost controller for these systems, which is based on robust feedback.
Abstract: We consider the guaranteed cost control problem of a class of uncertain linear discrete-time systems. The uncertain systems under consideration depend on norm-bounded time-varying uncertain parameters. Results on the design of robust state feedback guaranteed cost controllers are presented.
20 citations
04 Jun 1997
TL;DR: In this article, a robust H/sup /spl infin// controller design for a class of time-varying uncertain linear time-delay systems is presented, where a static state feedback controller which stabilizes the plant and reduces the effect of the disturbance input on the controlled output to a prescribed levels is obtained by solving a modified algebraic Riccati equation.
Abstract: Mainly studies quadratic stabilization and robust H/sup /spl infin// controller design for a class of time-varying uncertain linear time-delay systems. A static state feedback controller which stabilizes the plant and reduces the effect of the disturbance input on the controlled output to a prescribed levels for all admissible time-varying uncertainties is presented and the controller can be obtained by solving a modified algebraic Riccati equation. A sufficient condition for the existence of robust H/sup /spl infin// controller is derived.
8 citations
10 Dec 1997
TL;DR: In this paper, an observer-based dynamic output feedback controller is derived to quadratically stabilize the linear time-delay system with norm-bounded uncertainty, and a sufficient condition of robust output feedback stabilizability of a system is presented, then the sufficient condition is transformed into a linear matrix inequality (LMI) problem and the control law can be obtained by solving two LMIs.
Abstract: A robust stabilizing problem for linear time-varying uncertain systems with delayed state and control is studied when the full state can not be measured. An observer-based dynamic output feedback controller is derived to quadratically stabilize the linear time-delay system with norm-bounded uncertainty. A sufficient condition of robust output feedback stabilizability of a system is presented, then the sufficient condition is transformed into a linear matrix inequality (LMI) problem and the control law can be obtained by solving two LMIs. Finally, a numerical example is presented to illustrate the obtained results.
2 citations
10 Dec 1997
TL;DR: An equivalent linear time-invariant discrete H/sup /spl infin// output feedback structural description for time-varying uncertain discrete systems is obtained to construct dynamic output feedback compensator.
Abstract: This paper focuses on guaranteed cost output feedback control of linear time-varying uncertain discrete systems. A dynamic output feedback compensator is presented to ensure not only the stabilization of a plant with norm-bounded uncertainty but also some desired performance. The sufficient conditions for the existence of the dynamic output feedback compensator are derived. An equivalent linear time-invariant discrete H/sup /spl infin// output feedback structural description for time-varying uncertain discrete systems is obtained to construct dynamic output feedback compensator.
1 citations
TL;DR: In this article, a dynamic output feedback controller is derived to quadratically stabilize the linear time-delay system with norm-bounded uncertainty via introducing a linear delay-free state observer.
01 Jul 1997
TL;DR: In this article, the robust passive control problem for linear systems with norm-bounded time-varying uncertainties in all the system matrices was studied and a robust feedback controller was designed such that the closed-loop system is both quadratically stable and strictly passive for all admissible uncertainties.
Abstract: This paper concerns the robust passive control problem for linear systems with norm-bounded time-varying uncertainties in all the system matrices. Our objective is to design a feedback controller such that the closed-loop system is both quadratically stable and strictly passive for all admissible uncertainties. It is shown that such a problem is equivalent to a scaled strictly positive real control problem for a certain linear time-invariant system in which no uncertainty occurs. Therefore, a complete solution can be obtained by using the existing results of standard positive real control.