Fundamental limitations of monotonic tracking systems

Hamed Taghavian

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arXiv · 2508.08844

Fundamental limitations of monotonic tracking systems

Hamed Taghavian

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Abstract

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.

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Hamed Taghavian. 2025-08-12. Fundamental limitations of monotonic tracking systems. https://arxiv.org/abs/2508.08844

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