Limit Cycle Analysis of the Verge and Foliot Clock Escapement using Impulsive Differential Equations and Poincar´e Maps
The verge and foliot escapement mechanism of a mechanical clock is a classical example of a feedback regulator. In this paper we analyse the dynamics of this mechanism to understand its operation from a feedback perspective. Using impulsive differential equations and Poincare´ maps to model the dyna...
|Journal Title:||International Journal of Control Vol. 76; no. 17; pp. 1685 - 1698|
|Authors:||W.M. Haddad, V. Chellaboina, A. Roup, D.S. Bernstein, Sergey Nersesov|