This paper describes an evolutionary strategy called PSOGA-NN, which uses Neural Network (NN) for selfadaptive control of hybrid Particle Swarm Optimization and Adaptive Plan system with Genetic Algorithm (PSO-APGA) to solve large scale problems and constrained real-parameter optimization. This approach combines the search ability of all optimization techniques (PSO, GA) for stability of conver...

EEorts on the numerical approximation and simulation of control of time periodic parabolic distributed parameter system are reported. Test examples have been chosen suc that the optimal control can be explicitly computed via analytical methods. The approximation framework and convergence theory are applied to a polynomial spline based approximation scheme. In the case of control of one dimensio...

In this paper, the conjugate direction method is used in designing a type of iterative learning control scheme for a kind of linear discrete time-invariant single-inputsingle-output systems, which is termed as a conjugate direction method based iterative learning control scheme. The convergence of the proposed learning scheme is analyzed by the technique of inductive inference in considering th...

In this article, we present some approximate analytical solutions to the general perturbed KdV-Burgers equation with nonlinear terms of any order by applying the homotopy analysis method (HAM). While compared with the Adomain decomposition method (ADM) and the homotopy perturbation method (HPM), the HAM contains the auxiliary convergence-control parameter ~ and the control function H(x, t), whi...

In most adaptive control algorithms, parameter estimate errors are not guaranteed to converge to zero. This lack of convergence adversely affects the global performance of the algorithms. The effect is more pronounced in control problems where the desired reference setpoint or trajectory depends on the system's unknown parameters. This paper presents a parameter estimation routine that allows e...

Nonlinear tracking control of unmanned underwater vehicles (UUVs) in 6 degrees of freedom (DOF) is discussed. The 4-parameter unit quaternion is used in a singularity-free representation of attitude. Several control laws based on a generalized Lyapunov function for the attitude dynamics are derived, including feedback from the vector quaternion, the Euler rotation vector and the Rodrigues param...

Based on virtual equivalent system concept and methodology, a unified analysis of the stability and convergence of switching multiple model adaptive control (MMAC) of linear time-invariant discrete plant is presented. The main results are expressed by three criteria. Two of them are applicable to switching MMAC systems with arbitrary control strategy, arbitrary parameter estimation algorithm an...

Recently, several convergence rate results for Douglas-Rachford splitting and the alternating direction method of multipliers (ADMM) have been presented in the literature. In this paper, we show linear convergence of Douglas-Rachford splitting and ADMM under certain assumptions. We also show that the provided bounds on the linear convergence rates generalize and/or improve on similar bounds in ...

Active control methods have been applied to a number of practical problems in which it is necessary to control a tonal disturbance. For example, the control of engine noise and vibration in vehicles, propeller noise in aircraft and the vibration produced by reciprocating machinery in many industrial systems. In such applications the steepest-descent algorithm has been widely employed, in part d...