In this paper, the synchronizability problem of dynamical networks is addressed, where better synchronizability means faster network synchronization with lower vibration. The L2 norm of the error vector e is taken as a performance index to measure this kind of synchronizability. For the equilibrium synchronization case, it is shown that there is a close relationship between the L2 norm of the e...

The linear quadratic regulator (LQR) controller is used to enhance the low voltage ride through (LVRT) of doubly-fed induction generator based wind turbines (DFIG-WT). A heuristic optimization method, which is MVMO, is used for optimal design of the LQR weighting matrices Q and R. The objective function of the optimization problem is to minimize the peak short-circuit current and the associated...

Optimal feedback solutions to the in nite horizon LQR problem with state and input constraints based on receding horizon real-time quadratic programming are well known. In this paper we develop an explicit solution to the same problem, eliminating the need for realtime optimization. A suboptimal strategy, based on a suboptimal choice of a nite horizon and imposing additional limitations on the ...

Design of optimal distributed controllers with a priori assigned localisation constraints is a difficult problem. Alternatively, one can ask the following question: given a localised distributed exponentially stabilising controller, is it inversely optimal with respect to some cost functional? We study this problem for linear spatially invariant systems and establish a frequency domain criterio...

In this paper we address the problem of clustering closed-loop consensus networks where the closed-loop controller is designed using a class of Linear Quadratic Regulator (LQR). Given any positive integer r, our objective is to develop a strategy for grouping the states of the n-node network into r ≤ n distinct non-overlapping groups. The criterion for this partitioning is defined as follows. F...

Linear Quadratic Regulator (LQR) is widely used in many practical engineering fields due to good stability margin and strong robustness. But there is little literature reports the technology that has been used to control the flying wing unmanned aerial vehicles (UAV). In this paper, aiming at the longitudinal static and dynamic characteristics of the flying wing UAV, LQR technology will be intr...

This paper considers solving optimization problem for linear discrete time systems such that closed-loop discrete-time system is positive (i.e., all of its state variables have non-negative values) and also finite-time stable. For this purpose, by considering a quadratic cost function, an optimal controller is designed such that in addition to minimizing the cost function, the positivity proper...

The input-constrained LQR problem is addressed in this paper; i.e., the problem of finding the optimal control law for a linear system such that a quadratic cost functional is minimised over a horizon of length N subject to the satisfaction of input constraints. A global solution (i.e., valid in the entire state space) for this problem, and for arbitrary horizon N, is derived analytically by us...

This paper studies the discrete-time switched LQR (DSLQR) problem based on a dynamic programming approach. One contribution of this paper is the analytical characterization of both the value function and the optimal hybridcontrol strategy of the DSLQR problem. Their connections to the Riccati equation and the Kalman gain of the classical LQR problem are also discussed. Several interesting prope...

This paper addresses the problem of finding linear quadratic regulator (LQR) weights such that associated discrete-time algebraic Riccati equations admit a common optimal stabilising solution. Solving is key to designing LQR controllers stabilise switched systems under arbitrary switching, or polytopic (e.g., Takagi-Sugeno fuzzy and parameter varying systems) in entire operating region. To ensu...