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We provide a new adaptive controller for curve tracking in the plane under unknown curvature. We prove a global asymptotic stability theorem that ensures tracking of the curve and convergence of the curvature estimate to the unknown curvature. Our curvature identification result is an improvement over the known adaptive curve tracking results, which do not ensure parameter identification, or which...
We analyze an important class of feedback controllers for curve tracking problems for robotics. Earlier experimental work suggested the robust performance of the control laws under perturbations. In this note, we use input-to-state stability to prove predictable tolerance and safety bounds that guarantee robust performance. Our work uses an invariant polygon argument and a new strict Lyapunov function...
In this paper we propose a method for feedback controller synthesis using the concept of control autobisimulation function. Control autobisimulation function (CAF) is the analog of control Lyapunov function for approximate bisimulation. Approximate bisimulation has been used to establish robustness (in ℓ∞ sense) of execution trajectories of dynamical systems and hybrid systems, resulting in trajectory-based...
The trajectory tracking control problem of nonholonomic mobile robots with parameter uncertainties has been analyzed. The kinematics and dynamical models of mobile robots are taken into account, the control rule based on the kinematics model is taken as desired virtual control, and the adaptive sliding mode controller is designed, as the controller take into account both kinematics and dynamical model,...
A mobile manipulator service robot comprising a mobile platform with a three-link arm mounted on top of the platform is considered. A torque compensation control approach is proposed for the robust motion control of the robot. Considering the coupling disturbance between the platform and the manipulator, the nominal model of service robot is built, applying computed torque and proportion-differential...
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