Sayyed Hossein Ejtahed; Naser Pariz; Ali Karimpour
Abstract
Switched linear systems are noted as a major category of control systems. Fault detection of these systems is affected by switching phenomena and therefore their integrated fault detection and robust control (IFDRC) are the central issues of recent studies. Existing studies on IFDRC ...
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Switched linear systems are noted as a major category of control systems. Fault detection of these systems is affected by switching phenomena and therefore their integrated fault detection and robust control (IFDRC) are the central issues of recent studies. Existing studies on IFDRC do not consider the effects of all of the parameter uncertainties, input disturbance, and mode-dependent time-varying state delay in the presence of mode-dependent average dwell time (MDADT) switching together in these systems. To address the issue based on output feedback, in this paper, the IFDRC design problem is formulated as a multi-objective or mixed H∞/H- optimization problem. H∞ performance indicator guarantees the robustness of residual to disturbance, and H- performance represents the sensitivity index of residual to the fault. A piecewise Lyapunov-Krasovskii function is employed together with the MDADT scheme and therefore, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) in order to deal with the problem. Then to clarify the design procedure, we also present an algorithm in the light of the proposed approach. Eventually, to illustrate the efficiency of the suggested approach, the designed IFDRC framework is simulated for a case study of an Electrical Circuit system.
