Stabilization of Uncertain Discrete-time Linear System via Limited Information

Niladri Sekhar Tripathy; I. N. Kar; Kolin Paul

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arXiv · 1512.07201

Stabilization of Uncertain Discrete-time Linear System via Limited Information

Niladri Sekhar Tripathy·I. N. Kar·Kolin Paul

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Abstract

This paper proposes a procedure to control an uncertain discrete-time networked control system through a limited stabilizing input information. The system is primarily affected by the time-varying, norm bounded, mismatched parametric uncertainty. The input information is limited due to unreliability of communicating networks. An event-triggered based robust control strategy is adopted to capture the network unreliability. In event-triggered control the control input is computed and updated at the system end only when a pre-specified event condition is violated. The robust control input is derived to stabilize the uncertain system by solving an optimal control problem based on a virtual nominal dynamics and a modified cost-functional. The designed robust control law with limited information ensures input-to-sate stability (ISS) of original system under presence of mismatched uncertainty. Deriving the event-triggering condition for discrete-time uncertain system and ensuring the stability of such system analytically are the key contributions of this paper. A numerical example is given to prove the efficacy of the proposed event-based control algorithm over the conventional periodic one.

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BibTeX RIS

Niladri Sekhar Tripathy, I. N. Kar, Kolin Paul. 2015-12-22. Stabilization of Uncertain Discrete-time Linear System via Limited Information. https://arxiv.org/abs/1512.07201

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