The method of “integrator backstep**” emerged around 1990 as a robust version of
feedback linearization for nonlinear systems with uncertainties. Backstep** was …

At publication, The Control Handbook immediately became the definitive resource that
engineers working with modern control systems required. Among its many accolades, that …

This paper presents several recently developed techniques for adaptive control of PDE
systems. Three different design methods are employed—the Lyapunov design, the passivity …

Adaptive control is a control methodology capable of dealing with uncertain systems to
ensure desired control performance. This paper provides an overview of some fundamental …

This book introduces a comprehensive methodology for adaptive control design of parabolic
partial differential equations with unknown functional parameters, including reaction …

We develop adaptive controllers for parabolic partial differential equations (PDEs) controlled
from a boundary and containing unknown destabilizing parameters affecting the interior of …

A mathematical description of motion in a sliding mode is considered for systems with
discontinuous controls described by differential equations in Banach space. Applying the …

The certainty equivalence approach to adaptive control is commonly used with two types of
identifiers: passivity-based identifiers and swap** identifiers. The “passive”(also known as …

We develop an adaptive output-feedback controller for a wave PDE in one dimension with
actuation on one boundary and with an unknown anti-dam** term on the opposite …

Adaptive control of PDEs is a nonlinear feedback design problem for an infinite-dimensional
system. The author's early work for PDEs with unmatched uncertainties was limited to …