The aim of this work is to obtain optimal-order error estimates for the LQR (Linear-quadratic regulator) problem in a strongly damped 1-D wave equation. We consider a finite element discretization of the system dynamics and a control law constant in the spatial dimension, which is studied in both point and distributed case. To solve the LQR problem, we seek a feedback control which depends on t...

In this paper, we provide the solution to the optimal Linear Quadratic Regulator (LQR) paradigm for Markovian Jump linear Systems, when the continuous state is available at the controller instantaneously, but the mode is available only after a delay of one time step. This paper is the first to investigate the LQR paradigm in the presence of such mismatch between the delay in observing the mode ...

This paper is a contribution to the theory of the infinitehorizon linear quadratic regulator (LQR) problem subject to inequality constraints on the inputs and states, extending an approach first proposed by Sznaier and Damborg [16]. A solution algorithm is presented, which requires solving a finite number of finite-dimensional positive definite quadratic programs. The constrained LQR outlined d...

Recently the applications of unmanned systems are steadily increasing. Unmanned Surface Vessels (USV) can be used for military and rescue purposes. This paper designs a Fuzzy-LQR controller for Heading control of the USV system. A new analysis of the fuzzy system behavior presented helps to make possible precise integration of LQR features into fuzzy control. This Fuzzy-LQR controller is used t...

This article studies the robustness of policy iteration in context continuous-time infinite-horizon linear quadratic regulator (LQR) problem. It is shown that Kleinman's algorithm small-disturbance input-to-state stable, a property stronger than Sontag's local stability but weaker global stability. More precisely, whenever error each bounded and small, solutions are also enter small neighborhoo...

An Integral Sliding Mode approach to hierarchical control of interconnected systems with uncertainties arising from unknown interconnection states and unknown parametric variation is proposed. The work is based on a recent study using constrained LQR showing that a two-level hierarchical control system with on-line learning coordination provides a suitable architecture for control of uncertain ...

This paper proposes a polynomial chaos based numerical method providing an optimal controller for the linearquadratic regulator (LQR) problem when the parameters in the formulation are uncertain, i.e., a controller minimizing the mean value of the LQR cost function obtained for a certain distribution of the uncertainties which is assumed to be known. The LQR problem is written as an optimality ...

in this paper, a new analytical method to find a near-optimal high gain controller for the non-minimum phase affine nonlinear systems is introduced. this controller is derived based on the closed form solution of the hamilton-jacobi-bellman (hjb) equation associated with the cheap control problem. this methodology employs an algebraic equation with parametric coefficients for the systems with s...