This paper presents an adaptive control approach for flutter suppression of a performance adaptive aeroelastic wing equipped with a variable camber continuous trailing edge flap design. The adaptive control approach is based on the optimal control modification method augmented to a linear quadratic gaussian optimal control design. A model reduction based on a singular perturbation approach is p...

We present some recent developments and issues on adaptive multimesh finite element method, and its applications to computational optimal control. Particularly, we discuss several difficult issues on finite element schemes with adaptive multi-set meshes for parabolic optimal control.

In the presence of large uncertainties, a control system needs to be able to adapt rapidly to regain performance. Fast adaptation is referred to the implementation of adaptive control with a large adaptive gain so as to reduce the tracking error rapidly. However, a large adaptive gain can lead to highfrequency oscillations which can adversely affect robustness. A new adaptive law, called optima...

Friction is a nonlinear phenomenon which has destructive effects on performance of control systems. To obviate these effects, friction compensation is an effectual solution. In this paper, an adaptive technique is proposed in order to eliminate limit cycles as one of the undesired behaviors due to presence of friction in control systems which happen frequently. The proposed approach works for n...

The asymptotic behavior of adaptive systems has been a well researched topic during the last couple of decades, and it is well known that asymptotic tracking can be achieved using the Lyapunov redesign method. However, the transient behavior of the input and output signals can be very oscillatory with significant excursions [1]. There has been a great deal of effort to modify the control archit...

We prove convergence and optimal complexity of an adaptive finite element algorithm for a model problem of optimal control. Following previous work, our algorithm is based on an adaptive marking strategy which compares a simple edge estimator with an oscillation term in each step of the algorithm in order to adapt the marking of cells.

This paper introduces an efficient and simple method for mesh point distribution for solving optimal control problems using direct methods. The method is based on density (or monitor) functions, which have been used extensively for mesh refinement in other areas such as partial differential equations and finite element methods. Subsequently, the problem of mesh refinement is converted to a prob...

In this paper we consider a posteriori error estimates for space-time finite element discretizations for optimal control of hyperbolic partial differential equations of second order. It is an extension of Meidner & Vexler (2007), where optimal control problems of parabolic equations are analyzed. The state equation is formulated as a first order system in time and a posteriori error estimates a...

The problem of robust adaptive stabilization of a class of multi-input multi-output nonlinear systems with constant linearly parameterized uncertainty and unknown structure of bounded variation have been considered. With the aid of direct adaptive technique and control Lyapunov function method, a robust adaptive controller is designed to complete the globally adaptive stability of the closed-lo...

One of the key component of an Adaptive Optics system is the deformable mirror. This mirror can correct the atmospheric turbulence effects by changing its shape. In the last years Adaptive Secondary Mirrors (ASM) have been developed and the Large Binocular Telescope (LBT) will be soon equipped with two ASMs. Each LBT ASM unit has 672 voice-coil force actuators to change the shape of the mirror ...