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Delay-Adaptive Linear Control$
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Yang Zhu and Miroslav Krstic

Print publication date: 2020

Print ISBN-13: 9780691202549

Published to Princeton Scholarship Online: January 2021

DOI: 10.23943/princeton/9780691202549.001.0001

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Output Feedback of Systems with Uncertain Delays, Parameters, and ODE State

Output Feedback of Systems with Uncertain Delays, Parameters, and ODE State

(p.199) Chapter Nine Output Feedback of Systems with Uncertain Delays, Parameters, and ODE State
Delay-Adaptive Linear Control

Yang Zhu

Miroslav Krstic

Princeton University Press

This chapter focuses on output feedback of systems with uncertain delays, parameters, and ODE state. The previous chapter solved the problem of adaptive stabilization of multi-input LTI systems under the assumption that distinct discrete multiple actuator delays are long and unknown, and the actuator state in each input channel is unavailable for measurement. A local stabilization result is achieved. This chapter considers the more challenging case where uncertainties exist not only in the input delay and the PDE actuator state, but also appear in the ODE plant state and the parameters of the system and input matrices. To be specific, it addresses the uncertainty collections. Similar to the result in the previous chapter, when the actuator state is not measurable and the delay value is unknown at the same time, the result of multi-input delays obtained in this chapter is also not global.

Keywords:   output feedback, uncertain input delays, uncertain parameters, uncertain ODE state, PDE actuator state, multi-input delays

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