We propose a new, extended artificial potential field method, which uses dynamic internal agent states. The internal states are modeled as a dynamical system of coupled first order differential equations that manipulate the potential field in which the agent is situated. The internal state dynamics are forced by the interaction of the agent with the external environment. Local equilibria in the potential field are then manipulated by the internal states and transformed from stable equilibria to unstable equilibria, allowing escape from local minima in the potential field. This new methodology successfully solves reactive path planning problems, such as a complex maze with multiple local minima, which cannot be solved using conventional static potential fields.
This paper investigates the problem of global output stabilization for a family of uncertain nonlinear systems, which are dominated by a triangular-type condition. The distinguishing feature of such a class of systems is the presence of unmeasured states growth with growth rate polynomial of output-input multiplying an unknown constant. We show by an example that the power of the input in the growth rate seems to be optimal.
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