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Linear quadratic networked control of uncertain polytopic systems
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DOI：10.1002/rnc.3411.png)
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Abstract
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This paper investigates the problem of designing robust linear quadratic regulators for uncertain polytopic continuous-time systems over networks subject to delays. The main contribution is to provide a procedure to determine a discrete-time representation of the weighting matrices associated to the quadratic criterion and an accurate discretized model, in such a way that a robust state feedback gain computed in the discrete-time domain assures a guaranteed quadratic cost to the closed-loop continuous-time system. The obtained discretized model has matrices with polynomial dependence on the uncertain parameters and an additive norm-bounded term representing the approximation residual error. A strategy based on linear matrix inequality relaxations is proposed to synthesize, in the discrete-time domain, a digital robust state feedback control law that stabilizes the original continuous-time system assuring an upper bound to the quadratic cost of the closed-loop system. The applicability of the proposed design method is illustrated through a numerical experiment. Copyright (C) 2015 John Wiley & Sons, Ltd.
Keywords:
discretized linear systems
networked control systems
Taylor series expansion
state feedback control
polytopic uncertainties
linear matrix inequalities
linear quadratic regulator
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