This paper proposed a methodology for the control of model following control system (MFCS) approach to time-delay linear parameter-varying (LPV) system. The method incorporates a state control law which makes the output error zero, the bounded property of the internal states for the control is given, and the utility of this control design is guaranteed. Numerical example is given to demonstrate...

chattering region and successor states 4) (a) chatter{box algorithm ° . . . . . ↑ . . . . . ↑ . . . . . ↑ . . . . . ° INF A-1 0 T0 T1 T2 amount (B) ° . . . . . ↑ . . . . . ↑ . . . . . ↑ . . . . . ° INF A-2 0 T0 T1 T2 amount (C) ↑ . . . . . ↑↓ . . . . . ↓ . . . . . ↓ . . . . . ° INF 0 MINF T0 T1 T2 d amount (B) ° . . . . . ↑ . . . . . ° . . . . . ↓ . . . . . ° INF N-1 0 MINF T0 T1 T2 d amount (C...

The chatter is one of the major limitations of the productivity in the ball end milling process. It affects the surface roughness, the dimensional accuracy and the tool life. The aim of this research is to propose the new system to detect the chatter during the ball end milling process by using the wavelet transform. The proposed method is implemented on the 5-axis CNC machining center and the ...

One of the major factors hindering the use of qualitative simulation techniques to reason about the behavior of complex dynamical systems is intractable branching due to a phenomenon called chatter. Chatter occurs when a variable's direction of change is constrained only by continuity within a region of the state space . This results in intractable, potentially infinite branching within the beh...

This paper presents the suitable depth of cut, spindle speed and feed rate that will be chosen during machining. If thus parameters are not considered, this can provoke abnormal tool behavior such as chatter. Chatter will limit the tool life which only can be use for just a few times. To predict the chatter occurs, the parameters will be use are spindle speed, depth of cut and feed rate. CNC ma...

The classical theorem of Hopf Bifurcation for the study of periodic solutions of ordinary differential equations (ODEs) at an equilibrium point has become the standard mathematical tool for reducing higher dimensional dynamical systems to lower dimensional systems, while at the same time preserving the emanating dynamics. The attraction for this tool is due to the fact that the classical Hopf t...

In nano/micro cutting process, the surface quality is heavily dependent on all the dynamic factors in machining including those from the material, tooling, cutting parameters, servo accuracy, mechanical structure deformation, and non-linear factors as well. The machined surfaces are generated based on the tool profile and the real tool path combining with the various external and internal distu...