Output-feedback control for continuous-time interval positive systems under L1 performance

Chen, Xiaoming, Lam, James, Li, Ping and Shu, Zhan (2013) Output-feedback control for continuous-time interval positive systems under L1 performance. Asian Journal of Control. (doi:10.1002/asjc.808). (In Press)

Record type: Article

Abstract

This paper is concerned with the design of an L1-induced output-feedback controller for continuous-time positive systems with interval uncertainties. A necessary and sufficient condition for stability and an L1-induced performance of interval positive linear systems is proposed in terms of linear inequalities. Based on this, conditions for the existence of robust static output-feedback controllers are established and an iterative convex optimization approach is developed to solve the conditions. For special single-input-multiple-output (SIMO) positive systems, the problem of controller synthesis is completely solved with the help of an analytical formula for the L1-induced norm. An illustrative example is provided to show the effectiveness and applicability of the theoretical results.

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