Stochastic Distribution Control System Design: A Convex Optimization Approach (Advances in Industrial Control)

Stochastic distribution control (SDC) systems are widely seen in practical industrial processes, the aim of the controller design being generation of output probability density functions for non-Gaussian systems. Examples of SDC processes are: particle-size-distribution control in chemical engineering, flame-distribution control in energy generation and combustion engines, steel and film production, papermaking and general quality data distribution control for various industries. SDC is different from well-developed forms of stochastic control like minimum-variance and linear-quadratic-Gaussian control, in which the aim is limited to the design of controllers for the output mean and variances. An important recent development in SDC-related problems is the establishment of intelligent SDC models and the intensive use of linear-matrix-inequality-based (LMI-based) convex optimization methods. Within this theoretical framework, control parameter determination can be designed and stability and robustness of closed-loop systems can be analyzed. __Stochastic Distribution Control System Design__ describes the new framework of SDC system design and provides a comprehensive description of the modelling of controller design tools and their real-time implementation. The book starts with a review of current research on SDC and moves on to some basic techniques for modelling and controller design of SDC systems. This is followed by a description of controller design for fixed-control-structure SDC systems, PDF control for general input- and output-represented systems, filtering designs, and fault detection and diagnosis (FDD) for SDC systems. Many new LMI techniques being developed for SDC systems are shown to have independent theoretical significance for robust control and FDD problems. This monograph will be of interest to academic researchers in statistical, robust and process control, and FDD, process and quality control engineers working in industry and as a reference for graduate control students. Stochastic distribution control (SDC) systems are widely seen in practical industrial processes, the aim of the controller design being generation of output probability density functions for non-Gaussian systems. Examples of SDC processes are: particle-size-distribution control in chemical engineering, flame-distribution control in energy generation and combustion engines, steel and film production, papermaking and general quality data distribution control for various industries. SDC is different from well-developed forms of stochastic control like minimum-variance and linear-quadratic-Gaussian control, in which the aim is limited to the design of controllers for the output mean and variances. An important recent development in SDC-related problems is the establishment of intelligent SDC models and the intensive use of linear-matrix-inequality-based (LMI-based) convex optimization methods. Within this theoretical framework, control parameter determination can be designed and stability and robustness of closed-loop systems can be analyzed. Stochastic Distribution Control System Design describes the new framework of SDC system design and provides a comprehensive description of the modelling of controller design tools and their real-time implementation. The book starts with a review of current research on SDC and moves on to some basic techniques for modelling and controller design of SDC systems. This is followed by a description of controller design for fixed-control-structure SDC systems, PDF control for general input- and output-represented systems, filtering designs, and fault detection and diagnosis (FDD) for SDC systems. Many new LMI techniques being developed for SDC systems are shown to have independent theoretical significance for robust control and FDD problems. This monograph will be of interest to academic researchers in statistical, robust and process control, and FDD, process and quality control engineers working in industry and as a reference for gradua te control students. Front Matter....Pages i-xviii Developments in Stochastic Distribution Control Systems....Pages 1-14 Front Matter....Pages 15-16 Proportional Integral Derivative Control for Continuous-time Stochastic Systems....Pages 17-30 Constrained Continuous-time Proportional Integral Derivative Control Based on Convex Algorithms....Pages 31-43 Constrained Discrete-time Proportional Integral Control Based on Convex Algorithms....Pages 45-57 Front Matter....Pages 59-61 Adaptive Tracking Stochastic Distribution Control for Two-step Neural Network Models....Pages 63-79 Constrained Adaptive Proportional Integral Tracking Control for Two-step Neural Network Models with Delays....Pages 81-99 Constrained Proportional Integral Tracking Control for Takagi-Sugeno Fuzzy Model....Pages 101-111 Front Matter....Pages 113-114 Multiple-objective Statistical Tracking Control Based on Linear Matrix Inequalities....Pages 115-128 Adaptive Statistical Tracking Control Based on Two-step Neural Networks with Time Delays....Pages 129-141 Front Matter....Pages 143-144 Optimal Continuous-time Fault Detection Filtering....Pages 145-155 Optimal Discrete-time Fault Detection and Diagnosis Filtering....Pages 157-169 Front Matter....Pages 171-171 Summary and Potential Applications....Pages 173-177 Back Matter....Pages 179-195 A recent development in SDC-related problems is the establishment of intelligent SDC models and the intensive use of LMI-based convex optimization methods. Within this theoretical framework, control parameter determination can be designed and stability and robustness of closed-loop systems can be analyzed. This book describes the new framework of SDC system design and provides a comprehensive description of the modelling of controller design tools and their real-time implementation. It starts with a review of current research on SDC and moves on to some basic techniques for modelling and controller design of SDC systems. This is followed by a description of controller design for fixed-control-structure SDC systems, PDF control for general input- and output-represented systems, filtering designs, and fault detection and diagnosis (FDD) for SDC systems. Many new LMI techniques being developed for SDC systems are shown to have independent theoretical significance for robust control and FDD problems.