39 research outputs found
Quantized Feedback Stabilization of Sampled-Data Switched Linear Systems
We propose a stability analysis method for sampled-data switched linear
systems with quantization. The available information to the controller is
limited: the quantized state and switching signal at each sampling time.
Switching between sampling times can produce the mismatch of the modes between
the plant and the controller. Moreover, the coarseness of quantization makes
the trajectory wander around, not approach, the origin. Hence the trajectory
may leave the desired neighborhood if the mismatch leads to instability of the
closed-loop system. For the stability of the switched systems, we develop a
sufficient condition characterized by the total mismatch time. The relationship
between the mismatch time and the dwell time of the switching signal is also
discussed.Comment: 17 pages, 3 figure
Self-triggered Consensus of Multi-agent Systems with Quantized Relative State Measurements
This paper addresses the consensus problem of first-order continuous-time
multi-agent systems over undirected graphs. Each agent samples relative state
measurements in a self-triggered fashion and transmits the sum of the
measurements to its neighbors. Moreover, we use finite-level dynamic quantizers
and apply the zooming-in technique. The proposed joint design method for
quantization and self-triggered sampling achieves asymptotic consensus, and
inter-event times are strictly positive. Sampling times are determined
explicitly with iterative procedures including the computation of the Lambert
-function. A simulation example is provided to illustrate the effectiveness
of the proposed method.Comment: 29 pages, 3 figures. To appear in IET Control Theory & Application
Semi-uniform Input-to-state Stability of Infinite-dimensional Systems
We introduce the notions of semi-uniform input-to-state stability and its
subclass, polynomial input-to-state stability, for infinite-dimensional
systems. We establish a characterization of semi-uniform input-to-state
stability based on attractivity properties as in the uniform case. Sufficient
conditions for linear systems to be polynomially input-to-state stable are
provided, which restrict the range of the input operator depending on the rate
of polynomial decay of the product of the semigroup and the resolvent of its
generator. We also show that a class of bilinear systems are polynomially
integral input-to-state stable under a certain smoothness assumption on
nonlinear operators.Comment: 28 page