Price Based Linear Quadratic Control Under Transportation Delay

Discrete-time Linear Quadratic Gaussian Control for Teleoperation Under Communication Time Delay

Prior relevant research in bilateral teleoperation has mainly yielded control algorithms that sacrifice performance in order to guarantee robust stability in the presence of communication latency. In contrast, in this paper we propose a multimodel predictive-type control approach based on the discrete-time linear quadratic Gaussian (LQG) control that delivers a stable transparent response in th...

Optimal Linear Quadratic Control

Linear Quadratic Optimal Control

In previous lectures, we discussed the design of state feedback controllers using using eigenvalue (pole) placement algorithms. For single input systems, given a set of desired eigenvalues, the feedback gain to achieve this is unique (as long as the system is controllable). For multi-input systems, the feedback gain is not unique, so there is additional design freedom. How does one utilize this...

Linear-quadratic Control and Quadratic Differential Forms

We consider the infinite time linear-quadratic control problem from a behavioral point of view. The performance functional is the integral of a quadratic differential form. A characterization of the stationary trajectories and of the local minima with respect to (left) compact support variations, as well as their relation to stability, are obtained. Finally, several theorems are derived that de...

Optimal Control Policy for Linear-Quadratic Control Problems with Delay and Intermediate State Constraints

In this paper, we consider a terminal, linear control system with delay, subject to unknown but bounded disturbances. For this system, we consider the problem of constructing a worst-case optimal feedback control policy, which can be corrected at fixed, intermediate time instants. The policy should guarantee that for all admissible uncertainties the system states are in prescribed neighborhoods...