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Algebraic Constraints on the Gain Matrix

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Book cover Control of Complex Systems

Part of the book series: Communications and Control Engineering ((CCE))

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Abstract

Conventional decentralized state feedback and its variations need not always be adequate control strategies for practical large-scale problems. It often happens, for example, that certain subsystem state variables are not available for control purposes, in which case it is necessary to apply some form of output feedback. This type of control requires a special factorization of the gain matrix, which can be represented as a set of algebraic constraints in the LMI optimization. It turns out that similar constraints also arise in the context of singular systems, as well as in problems where the gain matrix has an arbitrary structure. With that in mind, in the following we will consider how such requirements can be incorporated into the design strategy described in Chap. 2. In doing so, we will devote special attention to techniques that are capable of reducing the computational effort (which is a critical consideration in the context of large-scale systems).

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  1. Dept. Electrical Engineering, Santa Clara University, 500 EI Camino Real, Santa Clara, CA, 95053, USA

    Aleksandar I. Zečević & Dragoslav D. Šiljak

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  1. Aleksandar I. Zečević
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Correspondence to Aleksandar I. Zečević .

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Zečević, A.I., Šiljak, D.D. (2010). Algebraic Constraints on the Gain Matrix. In: Control of Complex Systems. Communications and Control Engineering. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1216-9_3

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  • DOI: https://doi.org/10.1007/978-1-4419-1216-9_3

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