This book presents new computational tools for the H? control of distributed parameter systems in which transfer functions are considered as input-output descriptions for the plants to be controlled. The emphasis is on the computation of the controller parameters and reliable implementation. The authors present recent studies showing that the simplified skew-Toeplitz method is applicable to a wide class of systems, supply detailed examples from systems with time delays and various engineering applications, and discuss reliable implementation of the controller, complemented by a software based on MATLAB. Frequency Domain Techniques for H? Control of Distributed Parameter Systems is intended for advanced undergraduate and early graduate students interested in robust control of distributed parameter systems?time delay systems?as well as researchers and engineers working in related fields. It can be used in the following courses: Introduction to Robust Control with Applications to Distributed Parameter Systems and Introduction to Robust Control with Applications to Time Delay Systems.

This book presents a unified frequency-domain method for the analysis of distributed control systems. The following important topics are discussed by using the proposed frequency-domain method: (1) Scalable stability criteria of networks of distributed control systems; (2) Effect of heterogeneous delays on the stability of a network of distributed control system; (3) Stability of Internet congestion control algorithms; and (4) Consensus in multi-agent systems. This book is ideal for graduate students in control, networking and robotics, as well as researchers in the fields of control theory and networking who are interested in learning and applying distributed control algorithms or frequency-domain analysis methods.

Research in control and estimation of distributed parameter systems encompasses a wide range of applications including both fundamental science and emerging technologies. The latter include smart materials (piezoceramics, shape memory alloys, magnetostrictives, electrorheological fluids) fabrication and testing, design of high-pressure chemical vapor deposition (CVD) reactors for production of microelectronic surfaces (e.g., semiconductors), while the former include groundwater contamination cleanup and other environmental modeling questions, climatology, flow control, and fluid-structure interactions as well as more traditional topics in biology, mechanics, and acoustics. These expository papers provide substantial stimulus to both young researchers and experienced investigators in control theory. Includes a comprehensive and lucid presentation that relates frequency domain techniques to state-space or time domain approaches for infinite-dimensional systems including design of robust stabilizing and finite-dimensional controllers for infinite-dimensional systems. It focuses on these two approaches to control design in an integrated system theoretic framework. This is excellent reading for researchers in both the frequency domain and time domain control communities. In other articles, topics considered include pointwise control of distributed parameter systems, bounded and unbounded sensors and actuators, stabilization issues for large flexible structures, and an overview discussion of damping models for flexible structures.

Often in process simulation studies and process control it is desirable to have an approximate transfer function that could be used for dynamic simulation via analog computer or for feedforward control algorithms. The scope of the work is concerned with developing a general analytical technique that can be easily implemented in obtaining approximate transfer functions for distributive parameter systems of the convective type, where the spacial dependence of the dependent variable is of little interest from a control viewpoint. This technique relies on a distributed parameter model that is transformed into ordinary differential equations in the frequency domain. These equations are then analyzed in the frequency domain using well known classical techniques. The frequency solution of the ordinary differential equation provides the necessary data to carry out regressions on the parameters of the postulated transfer function.

The purpose of the Phase 1 effort was to investigate and demonstrate the feasibility of a new class of computational algorithms for the design of high performance control laws for flexible space structures based on frequency response modeling and to consider advanced techniques for the implementation of real time control for precision (wide bandwidth) applications. Typical applications requiring advanced realtime control of flexible space structure include vibration suppression and isolation of payload subsystems. Performance of vibration suppression and isolation systems are critical factors effecting achievable levels of performance for space based optical systems. In the Phase 1 effort, a prototype software code was developed for testing computational algorithms for spectral factorization, causal projection, and coprime factorization-critical steps in frequency domain design of precision control laws. Keywords: Computer programs; Mathematical models; Algorithms.