This paper documents the development, theoretical analysis and experimental evaluation of a Lyapunov-based nonlinear control scheme for asymptotic force regulation of hydraulic actuators with friction. The complete discontinuous model of actuator friction, servo-valve dynamics, and nonlinear hydraulic functions are all included in the theoretical solution and stability analyses of the resulting nonsmooth system. The frictionless contact force is modeled as a linear stiffness. Filippov’s solution theory and the extension of LaSalle’s invariance principle to nonsmooth systems are employed to prove the asymptotic convergence of the system trajectories towards equilibria. Experiments complement the theoretical analysis in providing a solid foundation for implementation of the proposed control scheme for asymptotic force regulation of the hydraulic actuators despite friction effects.

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