Fundamental limitations of monotonic tracking systems
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918493206609920 |
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| author | Taghavian, Hamed |
| author_facet | Taghavian, Hamed |
| contents | We consider the monotonic tracking control problem for continuous-time single-input single-output linear systems using output-feedback linear controllers in this paper. We provide the necessary and sufficient conditions for this problem to be solvable and expose its fundamental limitations: the exact feasible locations of the plant zeros, the minimum controller order possible, and the fastest decay rate achievable for the closed-loop system. The relationship between these bounds is explained by a simple geometric shape for plants with a pair of complex-conjugate zeros. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08844 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fundamental limitations of monotonic tracking systems Taghavian, Hamed Optimization and Control Systems and Control We consider the monotonic tracking control problem for continuous-time single-input single-output linear systems using output-feedback linear controllers in this paper. We provide the necessary and sufficient conditions for this problem to be solvable and expose its fundamental limitations: the exact feasible locations of the plant zeros, the minimum controller order possible, and the fastest decay rate achievable for the closed-loop system. The relationship between these bounds is explained by a simple geometric shape for plants with a pair of complex-conjugate zeros. |
| title | Fundamental limitations of monotonic tracking systems |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2508.08844 |