The work presents how one-dimensional wave phenomenon is animated. Several methods including the D’Alembert solution, the diamond rule, the Laplace transform and the convolution integral, are employed in the Mathematica animation. All the analytical derivations were carried out by using the symbolic software. Several examples, including an infinite string with a spring, mass and damper as well ...

The design of robust time-delay and saturating controllers based on the range of expected variation of uncertain parameters from their nominal values is investigated. A minimax optimization problem is formulated with the objective of minimizing the maximum value of the cost function over the range of the uncertain parameter. By the adoption of the residual energy as the cost function, the optim...

A multiple-model adaptive control methodology is proposed that is able to provide stability and performance guarantees, for uncertain linear parameter-varying plants. The identification problem is addressed by taking advantage of recent advances in model falsification using set-valued observers (SVOs). These SVOs provide set-valued estimates of the state of the system, according to its dynamic ...

The high-speed impact of a droplet onto flexible substrate is highly nonlinear process practical importance which poses formidable modelling challenges in the context fluid-structure interaction. We present two approaches aimed at investigating canonical system impacting rigid plate supported by spring and dashpot: matched asymptotic expansions direct numerical simulation (DNS). In former, we d...

This paper investigates a time-stepping procedure of the Newmark type for dynamic analyses viscoelastic structures characterized by generalized Maxwell model. We depart from scheme developed three-parameter model Hatada et al. [1], which we extend to generic chain and demonstrate that resulting algorithm can be derived suitably discretized Hamilton variational principle. structure manifests its...

The problem of angular velocity stabilization for the spinning spacecraft is considered. The spacecraft is assumed to be supplied a passive inertial energy dissipater in the form of a spring-mass-dashpot and small resistojets. The satellite is subjected to a combination of an excitational time varying torque and a control torque. The energy-based speed-gradient (SG) control law is proposed and ...

This paper proposes a ® xed-structure technique for synthesizing controllers that are optimal with respect to various operator norms. An optimal control problem is developed for each of these operator norms, and necessary conditions for sub-optimal performance are derived. Mixed-norm optimal control problems are also formulated. A continuation algorithm using quasi-Newton corrections is used to...

This paper presents a robust controller design for second-order dynamic systems. The controller is model independent and is a virtual second-order dynamic system. The conditions for actuator and sensor placements are identified for controller designs that guarantee overall closed-loop stability. The dynamic controller can be viewed as a virtual passive damping system that serves to stabilize th...