A boundary optimal control problem for a nonlinear nonstationary heat transfer model is considered. The model describes coupled conduction and radiation within the P1 approximation. The control parameter is related to the emissivity of the boundary and varies with time. The optimal control problem is to minimize or maximize a cost functional which is assumed to be monotonic. Sufficient conditio...

The established general results on convergence properties of the EM algorithm require the sequence of EM parameter estimates to fall in the interior of the parameter space over which the likelihood is being maximized. This paper presents convergence properties of the EM sequence of likelihood values and parameter estimates in constrained parameter spaces for which the sequence of EM parameter e...

Ant Colony Optimization is a population-based meta-heuristic that exploits a form of past performance memory that is inspired by the foraging behavior of real ants. The behavior of the Ant Colony Optimization algorithm is highly dependent on the values defined for its parameters. Adaptation and parameter control are recurring themes in the field of bio-inspired optimization algorithms. The pres...

For regulating the dynamic nonholonomic mobile cart with parameter uncertainties, a time-varying robust control law is derived to yield globally exponential convergence of carts position and orientation to the desired set point. The controller design relies on converting the carts dynamics to an advantageous form, and the robust linear feedback control laws steer the carts position and orientat...

This paper analyzes the local properties of the symmetric interior penalty upwind discontinuous Galerkin method (SIPG) for the numerical solution of optimal control problems governed by linear reaction-advection-diffusion equations with distributed controls. The theoretical and numerical results presented in this paper show that for advection-dominated problems the convergence properties of the...

in this research, the numerical method of computational fluid dynamics and dimensionless parameter of froude number have been applied to determine the flow regime over ogee spillways.froude number is a dimensionless dynamic parameter calculated using the square root of the ratio of inertia force and gravitational force. considering that the study of the regimes of flow over hydraulic structures...

A novel robust control law with finite time convergence for rigid robotic manipulators is proposed in this paper. The whole control process is divided into two phases, i.e., the error correction phase and the steady tracking phase. Firstly, a novel time-varying sliding mode control (TVSMC) method is developed in the first phase to ensure the tracking error converge to zero at the desired time. ...

Stabilizing unstable periodic orbits in a chaotic invariant set not only reveals information about its structure but also leads to various interesting applications. For the successful application of a chaos control scheme, convergence speed is of crucial importance. Here we present a predictive feedback chaos control method that adapts a control parameter online to yield optimal asymptotic conv...

A methodology for the design of fuzzy control laws for tracking control of mechanical systems is described. The approach uses Lyapunov’s stability theory to formulate a class of control laws that guarantee convergence of the tracking errors to within specification limits in presence of bounded parameter uncertainties and input disturbances. The proposed methodology results in control laws that ...

Two adaptive nonlinear friction compensation schemes are proposed for second-order nonlinear mechanical systems with a partially known nonlinear dynamic friction model to achieve asymptotic position and velocity tracking. The first scheme has auxiliary filtered states so that a simple open-loop observer can be used. The second one has a dual-observer structure to estimate two different nonlinea...