Lecture Notes in Control and Information Sciences

2 primary works

Singularly Perturbed and Weakly Coupled Linear Control Systems

by Zoran Gajic, Djordjija Petkovski, and Xuemin Shen

Published 30 March 1990

This book provides a comprehensive view of current developments in the theory of recursive reduced-order methods for singularly perturbed and weakly coupled linear control systems. The recursive methods offer several advantages: high accuracy can easily be achieved at low cost, parallel processing can be used, results are obtained under mild assumptions, and software and hardware implementation of the control algorithms is highly simplified. The book emphasizes mathematical developments as well as their application to solving practical problems. A number of real world examples demonstrating the usefulness of the theory are included.

Linear Optimal Control of Bilinear Systems

by Zijad Aganovic and Zoran Gajic

Published 11 August 1995

This book is designed to be a comprehensive treatment of linear methods to optimal control of bilinear systems. The unified theme of this book is the use of dynamic programming in order to simplify and decompose required computations for the optimal control of bilinear-quadratic systems. There are numerous examples of bilinear control systems that provide great challenges to engineers, mathematicians and computer scientists: these include nuclear reactors, missile intercept problems and mechanical brake systems. The book also examines two special classes of bilinear-quadratic control problems: namely singularly perturbed and weakly coupled bilinear control systems. The usefulness of the presented methods to these two types of control problem is demonstrated by several real control system examples.