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In this paper, we deal with an optimal control problem for nonholonomic systems. We would be confronted with the Hamilton-Jacobi-Bellman (HJB) equation, whenever we try to obtain the feedback solution. Moreover, it is well known that a viscosity solution is necessary for the HJB equations in the case of nonholonomic systems. Generally, it is very difficult to obtain a standard solution for the HJB...
In this paper, we deal with an output regulation for nonlinear systems. Especially, when it comes to the output feedback control problem for nonlinear systems, it would be difficult to solve. From a practical point of view, it is an important issue to design a feedback controller using only output information. We introduce a certain kind of optimal inverse system for the output feedback control design...
A lot of control design methods have been reported so far. Among them we focus on the flatness based method. This method seems promising because the nonlinear controllers can be constructed by means of a linear design approach, due to the flatness property. However, it should be noted that there is little research about the flatness based design with the performance index. So we introduce the performance...
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