Singular Value Decomposition-Based Method for Sliding Mode Control and Optimization of Nonlinear Neutral Systems

[摘要] The sliding mode control and optimization are investigated for a class of nonlinearneutral systems with the unmatched nonlinear term. In the framework of Lyapunov stability theory,the existence conditions for the designed sliding surface and the stability boundα∗are derived viatwice transformations. The further results are to develop an efficient sliding mode control law withtuned parameters to attract the state trajectories onto the sliding surface in finite time and remainthere for all the subsequent time. Finally, some comparisons are made to show the advantages of ourproposed method.

[学科分类] 应用数学