Quadratic optimal control of stable well-posed linear systems

Riccati equations and optimal control of well-posed linear systems

We generalize the classical theory on algebraic Riccati equations and optimization to infinite-dimensional well-posed linear systems, thus completing the work of George Weiss, Olof Staffans and others. We show that the optimal control is given by the stabilizing solution of an integral Riccati equation. If the input operator is not maximally unbounded, then this integral Riccati equation is equ...

Linear-Quadratic Optimal Controller 10.3 Optimal Linear Control Systems

In Chapters 8 and 9 of this book we have designed dynamic controllers such that the closed-loop systems display the desired transient response and steady state characteristics. The design techniques presented in those chapters have sometimes been limited to trial and error methods while searching for controllers that meet the best given specifications. Furthermore, we have seen that in some cas...

Well-posed fuzzy extensions of ill-posed linear equality systems

Linear equality systems with fuzzy parameters and crisp variables defined by the Zadeh’s extension principle are called possibilistic linear equality systems. This study focuses on the problem of stability (with respect to small changes in the membership function of fuzzy parameters) of the solution in these systems.

Reciprocals of well-posed linear systems

ear systems. Roughly speaking, these are generalizations of the finite-dimensional systems specified by 4 matrices A,B,C,D to systems with Hilbert spaces as the input, output and state spaces and unbounded generating operators A,B,C. The interest in this generalization is motivated by control and system theoretic problems for systems described by delay equations and partial differential equatio...

Optimal Linear Quadratic Control