Abstract
In this chapter, we consider the problem of H ∞ almost disturbance decoupling for general discrete-time plants whose subsystems are allowed to have invariant zeros on the unit circle of the complex plane. The stability region of a discrete-time system considered in this chapter is defined as usual as the open unit disc. In contrast to the continuous-time case, the problem of almost disturbance decoupling for general discrete-time systems is less studied in the literature. In 1996, Chen, Guo and Lin [21] gave a set of solvability conditions for the H ∞-ADDPMS for the special case when a given plant whose subsystems do not have invariant zeros on the unit circle. Only very recently, has the necessary and sufficient conditions under which the H ∞-ADDPMS for general discrete-time systems been derived by Chen, He and Chen [22]. Solutions to such a general problem have just been reported by Lin and Chen [84]. The results of [22] and [84] form the core of this chapter.
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© 2000 Springer-Verlag London
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Chen, B.M. (2000). Discrete-time H ∞ Almost Disturbance Decoupling. In: Robust and H∞ Control. Communications and Control Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-3653-8_12
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DOI: https://doi.org/10.1007/978-1-4471-3653-8_12
Publisher Name: Springer, London
Print ISBN: 978-1-84996-858-4
Online ISBN: 978-1-4471-3653-8
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