Local Output Feedback Stabilization of a Reaction–Diffusion Equation With Saturated Actuation

L 2 Bibo Output Feedback Stabilization with Saturated Control

For the problem of stabilization of mildly nonlinear systems with saturated control, a simple and computationally attractive method of designing a stabilizing gain scheduled output feedback is proposed. The resulting controller is characterized by an eecient use of the actuator capacity (\agressive" control), and is supplied with rigorously proven input/output performance bounds. In particular,...

Adaptive output-feedback stabilization of non-local hyperbolic PDEs

We address the problem of adaptive output-feedback stabilization of general first-order hyperbolic partial integro-differential equations (PIDE). Such systems are also referred to as PDEs with non-local (in space) terms. We apply control at one boundary, take measurements on the other boundary, and allow the system’s functional coefficients to be unknown. To deal with the absence of both full-s...

Boundary Output Feedback Stabilization of a One-Dimensional Wave Equation System with Time Delay

The stabilization with time delay in observation and control represents extremely difficult mathematical challenges in distributed parameter systems control. It is well-known that the closed-loop stability achieved by some stabilizing output feedback laws is not robust for any small time delay. When this happens, it necessary to reconsider the stabilizing feedback control laws. We are concerned...

Output-feedback stochastic nonlinear stabilization

We present the rst result on global output-feedback stabilization (in probability) for stochastic nonlinear continuous-time systems. The class of systems that we consider is a stochastic counterpart of the broadest class of deterministic systems for which globally stabilizing controllers are currently available. Our controllers are \inverse optimal" and possess an innnite gain margin. A reader ...

A Note on Periodic Output Feedback Stabilization