Dissipative reliable controller design for uncertain systems and its application

R. Sakthivel, M. Rathika, Srimanta Santra and Quanxin Zhu

Applied Mathematics and Computation, 2015, vol. 263, issue C, 107-121

Abstract: This paper address the reliable robust strictly (Q, R, S) dissipative control problem for a class of uncertain continuous time systems with input delay and linear fractional uncertainties despite possible actuator failures in system model. In particular, by employing a novel Lyapunov functional together with delay fractioning approach, a reliable control law is designed in terms of the solution of certain linear matrix inequalities which makes the considered system strictly (Q, R, S) dissipative which can be easily solved by using the available software. At the same time, as special cases the H∞, passivity, mixed H∞ and passivity control problems can obtained from the proposed dissipative control formulation. This explains the fact that the dissipative control unifies H∞ control, passive control, and mixed H∞ and passivity control in a single framework. Finally, a numerical example based on a mechanical system is given to demonstrate the effectiveness and applicability of the proposed design approach. More precisely, the proposed results have been compared through numerical simulation which reveals that the obtained criteria are considerably less conservative than some existing results.

Keywords: Reliable control; Dissipative performance; Delay fractioning approach; Linear fractional uncertainties (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:263:y:2015:i:c:p:107-121

DOI: 10.1016/j.amc.2015.04.009

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