Control of Linear Dynamical Systems Using Sparse Inputs

Sriram, C and Joseph, G and Murthy, CR (2020) Control of Linear Dynamical Systems Using Sparse Inputs. In: 2020 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2020, 4-8, May 2020, Barcelona, Spain, pp. 5765-5769.

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Abstract

In this work, we consider control of linear dynamical systems using sparse inputs. We provide an algorithm for determining a sequence of sparse inputs that will take the system from any given initial state to a desired final state, and stay in that state thereafter. We formulate this as a sparse vector recovery problem and obtain conditions on the sparse recovery algorithm that will enable the state of the system to be within an ϵ-ball of the desired state. Further, we also give a computationally efficient test that checks whether it is possible to remain in a given desired state using only sparse inputs.

Item Type:	Conference Paper
Publication:	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright of this article belongs to Institute of Electrical and Electronics Engineers Inc.
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	26 Aug 2020 09:18
Last Modified:	26 Aug 2020 09:18
URI:	http://eprints.iisc.ac.in/id/eprint/66380

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