The analysis and design of linear systems is much easier than that of
nonlinear systems; however, most real-world systems are an
interconnection of linear and nonlinear components. A common paradigm of
nonlinear systems is that they are linear systems with embedded or
sandwiched nonlinear elements. More specifically, most nonlinear systems
can be modeled as linear systems with constrains on their inputs and
selected outputs.
Unifying two decades of research, this book is the first to establish a
comprehensive foundation for a systematic analysis and design of linear
systems with general state and input constraints. For such systems, the
following issues are addressed in the work:
* Internal or Lyapunov stability, external L_p stability, and
simulatneous internal and external stability
* Control system feedback design laws for different types of stability
* New notions of external stability
* Additional constraints on controller architecture under decentralized
internal and external stabilization
* Satisfactory performance, which also guarantees stability
Internal and External Stabilization of Linear Systems with
Constraints is an excellent reference for practicing engineers,
graduate students, and researchers in control systems theory and design.
The book may also serve as an advanced graduate text for a course or a
seminar in nonlinear control systems theory and design in applied
mathematics or engineering departments. Minimal prerequisites include a
first graduate course in state-space methods as well as a first course
in control systems design.
