The instrumentation, i.e., sensors and actuators, in feedback control systems often contain nonlinearities, such as saturation, deadzone, quantization, etc. Standard synthesis techniques, however, assume that the actuators and sensors are linear. This technical note is intended to modify the LQR/LQG methodology into the so-called Instrumented LQR/LQG (referred to as ILQR/ILQG), which allows for...

This paper presents a new method for the control of Two linkrobotic manipulator systems using Linear-QuadraticGaussian (LQG), in This method Linear-Quadratic-Gaussian (LQG) that is a modern state-space technique for designing optimal dynamic regulators by kalman used for the control of Two linkrobotic manipulator systems. The simulation result are very promising.

I consider the implications for brane-world scenarios of the rather robust quantum-gravity expectation that there should be a quantum minimum limit on the uncertainty of all physical length scales. In order to illustrate the possible significance of this issue, I observe that, according to a plausible estimate, the quantum limit on the length scales that characterize the bulk geometry could aff...

Recent work has shown that for $\gamma \in (0,2)$, a Liouville quantum gravity (LQG) surface can be endowed with canonical metric. We prove several results concerning geodesics this In particular, we completely classify the possible networks of from typical point on to an arbitrary surface, as well types joining two points which occur dense set pairs surface. This latter result is $\gamma$-LQG ...

The feed-forward and linear quadratic Gaussian (LQG) controllers significantly reduced the servo error at higher rate tracking. However, the servo error due to wind disturbances acting on the antenna structure is still significant. This error cannot be reduced by the feed-forward controller and is only moderately reduced by the LQG controller. The H∞ controller design approach gives the possibi...

The capabilities of a tri-tethered aerostat positioning system are investigated using simulations of a comprehensively validated dynamics model. The physical system studied consists of a payload supported by a helium filled aerostat and attached to three anchored ground tethers actuated using winches. Closed-loop control is achieved by feeding back the position of a payload located at the confl...

We consider within the framework of the Mean Field Games theory a dynamic discrete choice model with social interactions, where a large number of agents/players are choosing between two alternatives while influenced by the group’s behavior. We introduce the “Min-LQG” optimal control problem, a modified Linear Quadratic Gaussian (LQG) optimal control problem that includes a minimum term in its f...