The basic topic of this book is solving problems from system and control theory using
convex optimization. We show that a wide variety of problems arising in system
and control theory can be reduced to a handful of standard convex and quasiconvex
optimization problems that involve matrix inequalities. For a few special cases there
are “analytic solutions” to these problems, but our main point is that they can be
solved numerically in all cases. These standard problems can be solved in polynomial-
time (by, e.g., the ellipsoid algorithm of Shor, Nemirovskii, and Yudin), and so are
tractable, at least in a theoretical sense. Recently developed interior-point methods
for these standard problems have been found to be extremely efficient in practice.
Therefore, we consider the original problems from system and control theory as solved.
標簽:
Linear_Matrix_Inequalities_in_Sys
tem
上傳時間:
2020-06-10
上傳用戶:shancjb
This texts contemporary approach focuses on the concepts of linear control systems, rather than computational mechanics. Straightforward coverage includes an integrated treatment of both classical and modern control system methods. The text emphasizes design with discussions of problem formulation, design criteria, physical constraints, several design methods, and implementation of compensators.Discussions of topics not found in other texts--such as pole placement, model matching and robust tracking--add to the texts cutting-edge presentation. Students will appreciate the applications and discussions of practical aspects, including the leading problem in developing block diagrams, noise, disturbances, and plant perturbations. State feedback and state estimators are designed using state variable equations and transfer functions, offering a comparison of the two approaches. The incorporation of MATLAB throughout the text helps students to avoid time-consuming computation and concentrate on control system design and analysis
標簽:
控制系統
上傳時間:
2021-12-15
上傳用戶: