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This paper is concerned with the problem of dissipative fault-tolerant cascade control synthesis for a class of singular networked cascade control systems (NCCS) with both differentiable and non-differentiable time-varying delays. By constructing the appropriate Lyapunov–Krasovskii functional using the available information about the actual sampling pattern, a new set of sufficient condition is obtained to guarantee that the singular networked cascade control systems to be admissible and strictly (Q,S,R)-dissipative(Q,S,R)-dissipative. Based on the criterion, a design algorithm for the desired sampled-data cascade controller is formulated in terms of linear matrix inequalities. More precisely, Jensen׳s integral inequality together with Wirtinger-based inequality is used in derivation of the main result. From the obtained dissipative result, we deduce three cases namely H∞H∞ performance, passivity performance, mixed H∞H∞ and passivity performance for the considered singular NCCS. Finally, a power plant boiler-turbine system is given to demonstrate the effectiveness and applicability of the proposed design techniques.
Journal: Journal of the Franklin Institute - Volume 353, Issue 14, September 2016, Pages 3386–3406