Abstract
In this paper, we discuss the problem of robust H-infinity control for a class of discrete-time nonlinear uncertain singular systems with time delay. A new delay-dependent bounded real lemma for singular systems with interval time delays is derived and expressed in terms of LMI. Based on the result, considering the nonlinear disturbance link to uncertain discrete-time singular systems with time delay effects, we come up with the design idea of robust H-infinity controller based on the Lyapunov stability theory. Using Lyapunov stability theory and linear matrix inequality (LMI) methods, we give a robust H-infinity controller design example of such nonlinear uncertain discrete-time singular systems with time delay both in state equation and output equation. Under the condition that nonlinear uncertain functions satisfy Lipschitz condition, we get a sufficient condition of such nonlinear uncertain singular discrete-time delay systems which are asymptotically stable and satisfy the robust H-infinity performance. Finally, a numerical example is given to show the applicability of the proposed method.
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Qiu, J. et al. (2012). Robust H-Infinity Control for a Class of Discrete-Time Nonlinear Uncertain Singular Systems with Time Delays Both in State Equation and Output Equation. In: Zhao, M., Sha, J. (eds) Communications and Information Processing. Communications in Computer and Information Science, vol 288. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31965-5_48
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DOI: https://doi.org/10.1007/978-3-642-31965-5_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-31964-8
Online ISBN: 978-3-642-31965-5
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