Work

SDP‐based analysis and control of the response peak of discrete‐time uncertain systems via head/tail partition

Year: 2025

Type: article

Abstract: ABSTRACT This paper addresses the problems of analyzing and controlling the response peak of a discrete‐time uncertain linear system. A novel approach is proposed for the analysis problem based on the solution of a semidefinite program (SDP). The novel idea consists of splitting the response into two temporal parts, head and tail, which are analyzed via inspection of the response formula and via quadratic Lyapunov functions polynomially parameterized by the uncertainty. This approach is extended to deal with the control problem by proposing two strategies, one based on a nonconvex search obtained by alternately freezing some decision variables and the other one based on a convex search obtained by constructing a controller‐dependent index. The proposed approach has key advantages with respect to the existing methods, which may be conservative, or inapplicable, or computationally prohibitive.

Source: Asian Journal of Control

DOI: 10.1002/asjc.3596

Authors: Graziano Chesi, Tiantian Shen

Institutions: University of Hong Kong, Hunan Normal University

Language: English

Topic: Stability and Control of Uncertain Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funder: National Natural Science Foundation of China

Award: G2874458500