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Control and Dynamic Systems: Advances in Theory and Applications, Volume 56: Digital and Numeric Techniques and their Applications in Control Systems, Part 2 of 2 covers the significant developments in digital and numerical techniques for the analysis and design of modern complex control systems.

This volume is composed of 12 chapters and starts with a description of the design techniques of linear constrained discrete-time control systems. The subsequent chapters describe the techniques dealing with robust real-time system identification, the adaptive control algorithms, and the utilization of methods from generalized interpolation and operator theory to deal with a wide range of problems in robust control. These topics are followed by reviews f the decentralized control design for interconnected uncertain systems; the computation of frequency response of descriptor systems by rational interpolation; the techniques for the synthesis of multivariable feedback control laws; and the effect of the initial condition in state estimation for discrete-time linear systems. Other chapters illustrate practical, efficient, and reliable numerical algorithms for robust multivariable control design of linear time-invariant systems, as well as a complete analysis of closed-loop transfer recovery in discrete-time systems using observer-based controllers. The last chapters provide the techniques in robust policy-making in the global economic environment and the implications of robust control techniques for continuous-time systems.

This book will prove useful to process, control, systems, and design engineers.
Modern control systems in manufacturing are characterized by rising complexity in size and functionality. They are highly decentralized and constitute a network of physically and functionally distributed controllers collaborating to perform the control tasks. That goes along with a further growing demand on safety and reliability. A distributed control architecture supporting functional decomposition of large systems as well as accommodating flexibility of modular systems is defined. This work describes the formal synthesis of distributed control functions for the sub area of safety requirements. The formal synthesis is applied to avoid the potentially faulty influence of human work through the whole process from the formal specification to the executable control function. Starting points are a formal model of the uncontrolled plant behavior and a formal specification of forbidden behavior. The formulation of the specification and the modeling is exemplified on a manufacturing system in lab-scale. The introduced synthesis methods produce controller models describing the correct control actions to achieve the given specification. The methods use symbolic backward search from a forbidden state to determine the last admissible state before entering an uncontrollable trajectory to a forbidden state. Hence, the determination of the reachable state space is avoided to reduce the computational complexity. The use of partial markings leads to a further reduction. The complexity is an important obstacle for the use of formal methods on real-scale applications. The monolithic synthesis approach is proven to result in maximally permissive results. The modular approach is not maximally permissive but the more efficient way to distributed control functions. The implementation of the generated controller model as executable Function Blocks according to IEC61499 is addressed in the last part of this work. The distributed control predicates are embedded as structured text instruction into different interacting Function Block types according to the distributed control structure. This last step finalizes the sequence from a formal model and the specification to fully automatically-generated executable control code.
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