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The traditional methods for mitigating chatter instability are called passive control which focuses on optimizing working spindle speeds and depths of cut. But they have inherent disadvantages in gaining highly efficient machining in milling processes. By contrast, the research in this paper is along the line of active control. Specifically, an adaptive algorithm is developed based on Fourier series...
Robust control for uncertain nonlinear systems based on T-S fuzzy model is discussed in this paper. Firstly, a T-S fuzzy system is adopted to model the uncertain nonlinear systems. Then, for the system with input variables adopting standard fuzzy partitions, a new sufficient condition to check the stability of T-S fuzzy system with uncertainty is derived, which is expressed in terms of linear matrix...
Stability conditions of T-S fuzzy system based on a common positive definite matrix or a set of positive definite matrices have been proposed in lots of literature. This paper proposes an approach to relax the conservatism of those stability conditions. By using the concept of the efficient maximal overlapped-rules group (EMORG), a relaxed sufficient condition is derived to guarantee quadratic stability...
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