SMC for Linear Systems with Input and State Delays

Abstract

Mainly due to these advantages variable structure control theory has found applications in various kinds of plants (see, e.g. [86], [175], [33], [85]. Other SMC schemes are proposed for linear systems with state delay [161], [104], [100], and system with input delay [147]. Their methods have the same benefits, but cannot be applied to systems with both state and input delay. In a recent paper [63], the authors propose the design methods of a SMC for systems with both input and state delay. However, the results of [63] involve the tuning and factorizing of a symmetric positive-definite matrix. Because no tuning procedure for such matrix is available, this makes the use of these methods somehow difficult, especially when one wants to find the largest possible bound for the time delay which ensures stabilization.