This paper considers finite-time position control of robot manipulators. The robot manipulators are modeled by discontinuous differential equations. In this paper, we prove that the Nakamura’s local homogeneous controller based on a control Lyapunov function is valid to the position control of the robot manipulators, and show the effectiveness of the controller by experiments. Moreover, we comp...

A new weak measurement procedure is introduced for finite samples which yields accurate weak values that are outside the range of eigenvalues and which do not require an exponentially rare ensemble. This procedure provides a unique advantage in the amplification of small non-random signals by minimizing uncertainties in determining the weak value and by minimizing sample size. This procedure ca...

In this paper, we study the problem of finite-horizon Kalman filtering for systems involving a norm-bounded uncertain block. A new technique is presented for robust Kalman filter design. This technique involves using multiple scaling parameters that can be optimized by solving a semidefinite program. The use of optimized scaling parameters leads to an improved design. A recursive design method ...

A novel Finite Word Length (FWL) controller design is proposed in the framework of a mixed μ theory. A robust FWL controller performance measure is first developed, which takes into account the standard robust control requirements as well as the FWL implementation considerations, and the corresponding controller design problem is naturally reformulated as amixedμproblemwhich can be treated effe...

The problem of model selection in the face of nite sample size is considered within the framework of statistical decision theory. Focusing on the special case of regression, we introduce a model selection criterion which is shown to be robust in the sense that, with high conndence, even for a nite sample size it selects the best model. Our derivation is based on uniform convergence methods , au...

In this paper, we investigate the robust fault-tolerant finitetime stabilization problem of switched system with asynchronous switching. The asynchronous switching idea originates from the fact that switching instants of the controllers lag behind or exceed those of subsystems. The attention is focused on designing a robust fault-tolerant asynchronously switched controller that guarantees the f...