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This paper deals with the problem of designing a robust repetitive-control system for a class of plants with structured time-varying uncertainties. The repetitive control system is constructed using a combination of state observer and state feedback. A two-dimensional model of the system is used to precisely describe the characteristics of repetitive control, and a sufficient condition for the robust...
An LMI-based method is presented in this paper to design a robust modified repetitive-control system for a class of strictly proper plants. Applying the periodicity and continuity of repetitive control, the system design is converted into the robust stabilization problem of a continuous-discrete 2D system. A LMI-based robust stability sufficient condition is derived by using linear matrix inequality...
Repetitive control, a distinctive control method with a human-like learning capability, is of both theoretical and practical importance. This paper deals with the problem of designing a robust observer-based repetitive-control system that provides a given H?? steady-state disturbance-attenuation performance for a class of plants with time-varying structured uncertainties. A continuous-discrete two-dimensional...
To characterize the topological structure of a power system, we first define a dual system for the original one to handle the case where a transmission line is inoperative. Then, we introduce four new indices for a transmission line: dual power supply capacity, capacity balance ratio, dual load limit, and dual overload ratio. We use the maximum-flow algorithm of graph theory along with the indices...
This paper presents necessary and sufficient conditions for the existence of a Lyapunov function in the Lur’e form that guarantees the absolute stability of a Lur’e control system with multiple nonlinearities. It simplifies the existence problem to one of solving a set of linear matrix inequalities (LMIs). If these inequalities are feasible,the free parameters in the Lyapunov function, such as the...
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