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Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays

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Abstract

The problem of the guaranteed cost control (GCC) for a class of uncertain discrete-time systems with both state and input delays is considered in this paper. A novel LMI-based approach is proposed for the existence of a state feedback controller which guarantees not only the asymptotic stability of the closed-loop system, but also an adequate performance bound over all the possible parameter uncertainties. A convex optimization algorithm is given to design the state feedback controller which minimizes a bound on a quadratic performance index. The result exhibits some favorable features in computation as shown by a numerical example.

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Authors and Affiliations

  1. School of Electrical Engineering and Automation, Tianjin University, Tianjin, China

    Z. Q. Zuo & Y. J. Wang

Authors
  1. Z. Q. Zuo
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  2. Y. J. Wang
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Correspondence to Y. J. Wang.

Additional information

Communicated by B.T. Polyak.

This work was supported by the National Science Foundation of China under Grants 60504012 and 60774039.

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Zuo, Z.Q., Wang, Y.J. Novel Optimal Guaranteed Cost Control of Uncertain Discrete Systems with Both State and Input Delays. J Optim Theory Appl 139, 159–170 (2008). https://doi.org/10.1007/s10957-008-9411-5

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  • DOI: https://doi.org/10.1007/s10957-008-9411-5

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