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Adaptive Control of Linear Systems with Poles in the Closed LHP with Constrained Inputs

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Adaptive Control of Nonsmooth Dynamic Systems

Abstract

In this chapter we propose an indirect adaptive control strategy for possibly nonminimum phase systems but having poles in the closed LHP. The adaptive control is based on a control law for systems with amplitude-constrained inputs. We take a departure from standard adaptive control by using as starting point a control scheme for the known-parameters case. Since the state of the system is not supposed to be measurable, we use a state observer designed for the corresponding plant state space representation. Several simulations performed on different second-order systems show that the control scheme brings the state of the system to the origin using a control input with arbitrary bounds.

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© 2001 Springer-Verlag London

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Suarez-Cerda, D.A., Lozano, R. (2001). Adaptive Control of Linear Systems with Poles in the Closed LHP with Constrained Inputs. In: Tao, G., Lewis, F.L. (eds) Adaptive Control of Nonsmooth Dynamic Systems. Springer, London. https://doi.org/10.1007/978-1-4471-3687-3_14

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  • DOI: https://doi.org/10.1007/978-1-4471-3687-3_14

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-84996-869-0

  • Online ISBN: 978-1-4471-3687-3

  • eBook Packages: Springer Book Archive

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