This paper considers 61 optimal control problems with full state feedback. In contrast to ,~ optimal control, previous work has shown that linear {1 optimal controllers can be dynamic and of arbitrarily high order. However, this paper shows that continuous memoryless nonlinear state feedback performs as well as dynamic linear state feedback. The derivation , which is nonconstructive, relies on ...

For a general class of dynamical systems (of which the canonical continuous and uniform discrete versions are but special cases), we prove that there is a state feedback gain such that the resulting closed-loop system is uniformly exponentially stable with a prescribed rate. The methods here generalize and extend Gramian-based linear state feedback control to much more general time domains, e.g...

We present a unifying computational framework to solve robust pole assignment problems for linear systems using state feedback. The new framework uses Sylvester equation based parametrizations of the pole assignment problems. The non-uniqueness of solutions is exploited by minimizing additionally sensitivity of closed-loop eigenvalues and the norm of the corresponding state feedback matrix. The...

Electrorheological (ER) fluids have electrically controllable stiffness, viscosity, and heat transfer properties. Since the 1940s researchers have attempted to model the properties of ER fluids and have proposed applications which attempt to utilize their special characteristics in the operation of hydraulic valves, soft clutches, and active suspension systems. Early attempts to make these appl...

In this paper, two di erent approaches to the H1 control by state feedback are related and discussed. The rst approach is based on the solvability of an algebraic Riccati equation and the second one explores the convexity of the set de ned by a matrix inequality. New insights are provided in order to establish the relationship between the set of stabilizing gains obtained from the two di erent ...

In contrast with li, and 1-12 control theories, the problem of persistent disturbance rejection (1' optimal control) leads to dynamic controllers, even when the states of the plant are available for feedback. Using viability theory, it has recently been shown, in a nonconstructive way [li'], that in the state-feedback case, the same performance achieved by any dynamic linear time invariant cont...

In this paper we address the problem of computing state-dependent feedback controls for path integral control problems. To this end we generalize the path integral control formula and utilize this to construct parametrized state-dependent feedback controllers. In addition, we show a relation between control and importance sampling: Better control, in terms of control cost, yields more efficient...

Time-delays are important components of many dynamical systems that describe coupling or interconnection between dynamics, propagation or transport phenomena, and heredity and competition in population dynamics. The stabilization with time delay in observation or control represents difficult mathematical challenges in the control of distributed parameter systems. It is well-known that the stabi...