Series:

Lecture Notes in Control and Information Sciences

2 primary works

Book 318

Cover of H-infinity Control and Estimation of State-multiplicative Linear Systems

Multiplicative noise appears in systems where the process or measurement noise levels depend on the system state vector. Such systems are relevant, for example, in radar measurements where larger ranges involve higher noise level.

This monograph embodies a comprehensive survey of the relevant literature with basic problems being formulated and solved by applying various techniques including game theory, linear matrix inequalities and Lyapunov parameter-dependent functions.

Topics covered include: convex H2 and H-infinity norms analysis of systems with multiplicative noise; state feedback control and state estimation of systems with multiplicative noise; dynamic and static output feedback of stochastic bilinear systems; tracking controllers for stochastic bilinear systems utilizing preview information.

Various examples which demonstrate the applicability of the theory to practical control engineering problems are considered; two such examples are taken from the aerospace and guidance control areas.

Book 481

Cover of Advances in H Control Theory
Advances in H Control Theory is concerned with state-of-the-art developments in three areas:

  • the extended treatment of mostly deterministic switched systems with dwell-time;
  • the control of retarded stochastic state-multiplicative noisy systems; and
  • a new approach to the control of biochemical systems, exemplified by the threonine synthesis and glycolytic pathways.

Following an introduction and extensive literature survey, each of these major topics is the subject of an individual part of the book.
The first two parts of the book contain several practical examples taken from various fields of control engineering including aircraft control, robot manipulation and process control. These examples are taken from the fields of deterministic switched systems and state-multiplicative noisy systems.

The text is rounded out with short appendices covering mathematical fundamentals: -algebra and the input-output method for retarded systems.

Advances in H Control Theory is written for engineers engaged in control systems research and development, for applied mathematicians interested in systems and control and for graduate students specializing in stochastic control.