7 research outputs found
Exponential stabilization of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays
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By choosing to view this document, you agree to all provisions of the copyright laws protecting it.In this technical note, the globally exponential stabilization problem is investigated for a general class of stochastic systems with both Markovian jumping parameters and mixed time-delays. The mixed mode-dependent time-delays consist of both discrete and distributed delays. We aim to design a memoryless state feedback controller such that the closed-loop system is stochastically exponentially stable in the mean square sense. First, by introducing a new Lyapunov-Krasovskii functional that accounts for the mode-dependent mixed delays, stochastic analysis is conducted in order to derive a criterion for the exponential stabilizability problem. Then, a variation of such a criterion is developed to facilitate the controller design by using the linear matrix inequality (LMI) approach. Finally, it is shown that the desired state feedback controller can be characterized explicitly in terms of the solution to a set of LMIs. Numerical simulation is carried out to demonstrate the effectiveness of the proposed methods.This work was supported in part by the Engineering and Physical Sciences Research Council (EPSRC) of the U.K. under Grant GR/S27658/01, the Royal Society of the U.K., the National 973 Program of China under Grant 2009CB320600, and the Alexander von Humboldt Foundation of Germany. Recommended by Associate Editor G. Chesi
On algebraic time-derivative estimation and deadbeat state reconstruction
This note places into perspective the so-called algebraic time-derivative
estimation method recently introduced by Fliess and co-authors with standard
results from linear state-space theory for control systems. In particular, it
is shown that the algebraic method can in a sense be seen as a special case of
deadbeat state estimation based on the reconstructibility Gramian of the
considered system.Comment: Maple-supplements available at
https://www.tu-ilmenau.de/regelungstechnik/mitarbeiter/johann-reger
A receding horizon Kalman FIR filter for linear continuous-time systems
A receding horizon Kalman finite-impulse response (FIR) filter is suggested for continuous-time systems, combining the Kalman filter with the receding horizon strategy. In the suggested filter, the horizon initial state is assumed to be unknown. It can always be obtained irrespective of unknown information on the horizon initial state, The filter may be the first stochastic FIR form for continuous-time systems that may have many good inherent properties. The suggested filter can be represented in an iterative form and also in a standard FIR form. The suggested filter turns out to be a remarkable deadbeat observer. The validity of the suggested filter is illustrated by numerical examples.X1144sciescopu
INTELLIGENT VISION-BASED NAVIGATION SYSTEM
This thesis presents a complete vision-based navigation system that can plan and
follow an obstacle-avoiding path to a desired destination on the basis of an internal map
updated with information gathered from its visual sensor.
For vision-based self-localization, the system uses new floor-edges-specific filters
for detecting floor edges and their pose, a new algorithm for determining the orientation of
the robot, and a new procedure for selecting the initial positions in the self-localization
procedure. Self-localization is based on matching visually detected features with those
stored in a prior map.
For planning, the system demonstrates for the first time a real-world application of
the neural-resistive grid method to robot navigation. The neural-resistive grid is modified
with a new connectivity scheme that allows the representation of the collision-free space of
a robot with finite dimensions via divergent connections between the spatial memory layer
and the neuro-resistive grid layer.
A new control system is proposed. It uses a Smith Predictor architecture that has
been modified for navigation applications and for intermittent delayed feedback typical of
artificial vision. A receding horizon control strategy is implemented using Normalised
Radial Basis Function nets as path encoders, to ensure continuous motion during the delay
between measurements.
The system is tested in a simplified environment where an obstacle placed
anywhere is detected visually and is integrated in the path planning process.
The results show the validity of the control concept and the crucial importance of a
robust vision-based self-localization process