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Sharif, Bardia; Alferink, Dirk; Heertjes, Marcel; Nijmeijer, Hendrik; Heemels, Maurice

Analysis of sampled-data hybrid integrator-gain systems: a discrete-time approach. (English) Zbl 1542.93252

Automatica 167, Article ID 111765, 13 p. (2024).
Summary: Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed recent successes in engineering applications such as high-precision motion systems. However, despite the relevance of digital implementations, the creation of sampled-data versions of HIGS and their formal analysis have not been addressed in the literature so far, and will form the topic of the present paper. Thereto, we present discrete-time HIGS elements, which preserve the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A comparison between these stability criteria is presented as well. A numerical case study is provided to illustrate the application of the main results.

MSC:

93C57 Sampled-data control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
93C55 Discrete-time control/observation systems
93D25 Input-output approaches in control theory

Keywords:

hybrid integrator-gain systems; sampled-data systems; stability analysis
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References:

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