Novel Observer-Based Suboptimal Digital Tracker for a Class of Time-Delay Singular Systems

Abstract EN

This paper presents a novel suboptimal digital tracker for a class of time-delay singular systems.

First, some existing techniques are utilized to obtain an equivalent regular time-delay system, which has a direct transmission term from input to output.

The equivalent regular time-delay system is important as it enables the optimal control theory to be conveniently combined with the digital redesign approach.

The linear quadratic performance index, specified in the continuous-time domain, can be discretized into an equivalent decoupled discrete-time performance index using the newly developed extended delay-free model.

Additionally, although the extended delay-free model is large, its advantage is the elimination of all delay terms (which included a new extended state vector), simplifying the proposed approach.

As a result, the proposed approach can be applied to a class of time-delay singular systems.

An illustrative example demonstrates the effectiveness of the proposed design methodology.