Optimal and Robust Control Advanced Topics with MATLAB®, 2nd Edition

The book deals with advanced automatic control techniques, paying particular attention to robustness-the ability to guarantee stability in the presence of uncertainty. It explains advanced techniques for handling uncertainty and optimizing the control loop. It also details analytical strategies for obtaining reduced order models. The authors then propose using the Linear Matrix Inequality (LMI) technique as a unifying tool to solve many types of advanced control problems. Topics covered in the book include,

• LQR and H∞ approaches
  
• Kalman and singular value decomposition
  
• Open-loop balancing and reduced order models
  
• Closed-loop balancing
  
• Positive-real systems, bounded-real systems, and imaginary-negative systems
  
• Criteria for stability control
  
• Time-delay systems
  

This easy-to-read text presents the essential theoretical background and provides numerous examples and MATLAB® exercises to help the reader efficiently acquire new skills. Written for electrical, electronic, computer science, space, and automation engineers interested in automatic control, this book can also be used for self-study of for a one-semester course in robust control.
This fully renewed second edition of the book also includes new fundamental topics such as Lyapunov functions for stability, variational calculus, formulation in terms of optimization problems of matrix algebraic equations, negative-imaginary systems, and time-delay systems.