Linear time-varying singular systems are treated in this paper. We focus on systems with constant-rank E matrices. It is shown that the existence of state feedback for impulse elimination is both sufficient and necessary for the existence of linear-quadratic optimal control. Also, optimal control exists if and only if the corresponding fast subsystem is impulse controllable. The results obtaine...

In this paper, we study linear fuzzy time-variant optimal control systems using the generalized differentiability concept and we present the general form of optimal controls and states. Some examples are provided to illustrate our results.

A class of optimal control problems for infinite dimensional impulsive antiperiodic boundary value problem is considered. Using exponential stabilizability and discussing the impulsive evolution operators, without compactness and exponential stability of the semigroup governed by original principle operator, we present the existence of optimal controls. At last, an example is given for demonstr...

The paper utilizes the Virtual Reference Feedback Tuning methodology for the iterative way of controller design and fine-tuning. It uses a series of experiments with no restriction on data generation to design an optimal controller of desired structure without the intermediate plant identification step. The approach is shown to be successful for the design and fine-tuning of a controller for a ...

The problem of global robust exponential stabilization of nonholonomic chained systems is addressed and solved by means of a hybrid state feedback control law. It is shown that the control law yields global exponential stability and global robustness against a class of small measurement errors, actuator noises and exogenous disturbances.