Discrete-time Negative Imaginary Systems from ZOH Sampling
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910481490378752 |
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| author | Shi, Kanghong Petersen, Ian R. Vladimirov, Igor G. |
| author_facet | Shi, Kanghong Petersen, Ian R. Vladimirov, Igor G. |
| contents | A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time NI system. Under some assumptions, asymptotic stability can be guaranteed for the closed-loop interconnection of an NI system and an output strictly negative imaginary system, with one of them having a one step advance. In the case of linear systems, we also provide necessary and sufficient frequency-domain and LMI conditions under which the definition is satisfied. Also provided is a simple DC gain condition for the stability results in the linear case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05419 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Discrete-time Negative Imaginary Systems from ZOH Sampling Shi, Kanghong Petersen, Ian R. Vladimirov, Igor G. Systems and Control Optimization and Control A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time NI system. Under some assumptions, asymptotic stability can be guaranteed for the closed-loop interconnection of an NI system and an output strictly negative imaginary system, with one of them having a one step advance. In the case of linear systems, we also provide necessary and sufficient frequency-domain and LMI conditions under which the definition is satisfied. Also provided is a simple DC gain condition for the stability results in the linear case. |
| title | Discrete-time Negative Imaginary Systems from ZOH Sampling |
| topic | Systems and Control Optimization and Control |
| url | https://arxiv.org/abs/2312.05419 |