In aerospace engineering and industry, control tasks are often of a periodic nature, while repetitive control is especially suitable for tracking and rejection of periodic exogenous signals. Because of limited research effort on nonlinear systems, we give a survey of repetitive control for nonlinear systems in this paper. First, a brief introduction of repetitive control is presented. Then, aft...

In this paper, stability analysis and periodic optimal control problems for a class of an impulsive periodic system in Banach spaces is considered. Combining exponential stabilizability and impulsive evolution operators, we present the existence of periodic optimal controls without assuming the semigroup is compact or exponentially stable. Finally, an example is given for demonstration. AMS sub...

Anti-control of chaos of single time-scale brushless DC motors is studied in this paper. In order to analyse a variety of periodic and chaotic phenomena, we employ several numerical techniques such as phase portraits, bifurcation diagrams and Lyapunov exponents. Anti-control of chaos can be achieved by adding an external constant term or an external periodic term.

In this paper, we consider a food-limited population model with delay and feedback control. By applying the comparison theorem of the differential equation and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained. Keywords—Almost periodic soluti...

Chaotic behaviors of the buck converter were demonstrated by computer simulation studies. The paper implied theoretical considerations and simulations for this kind of converter using a sliding-mode control. The method tried to establish a periodic behavior from a chaotic one in converter behavior. Key-Words: buck converter, sliding-mode, control, bifurcation, periodic, chaotic