Structured Controllers For Uncertain Systems: A Stochastic Optimization Approach (advances In Industrial Control)

Structured Controllers for Uncertain Systems focuses on the development of easy-to-use design strategies for robust low-order or fixed-structure controllers (particularly the industrially ubiquitous PID controller). These strategies are based on a recently-developed stochastic optimization method termed the "Heuristic Kalman Algorithm" (HKA) the use of which results in a simplified methodology that enables the solution of the structured control problem without a profusion of user-defined parameters. An overview of the main stochastic methods employable in the context of continuous non-convex optimization problems is also provided and various optimization criteria for the design of a structured controller are considered; H infinite, H2, and mixed H2/H infinite each merits a chapter to itself. Time-domain-performance specifications can be easily incorporated in the design. Advances in Industrial Control aims to report and encourage the transfer of technology in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. The series offers an opportunity for researchers to present an extended exposition of new work in all aspects of industrial control Front Matter....Pages I-XXIV Introduction....Pages 1-23 Signal and System Norms....Pages 25-44 Optimization in Control Theory....Pages 45-79 Stochastic Optimization Methods....Pages 81-105 Heuristic Kalman Algorithm....Pages 107-128 Uncertain Systems and Robustness....Pages 129-162 H ∞ Design of Structured Controllers....Pages 163-198 H 2 and Mixed H 2 / H ∞ Design of Structured Controllers....Pages 199-231 Nonlinear Structured Control via the Multi-model Approach....Pages 233-274 Conclusion....Pages 275-280 Back Matter....Pages 281-298 Standard Stochastic Optimisation Methods Heuristic Kalman Algorithm Uncertain Linear Systems and Robustness H∞ Design of Fixed Structure Controllers H2 Design of Fixed Structure Controllers Mixed H2/H∞ Design of Fixed Structure Controllers Extension to Nonlinear Control via Multimodel Approach.