Observer design for singularly perturbed systems

Grant number: DP170104102 | Funding period: 2017 - 2021

Completed

Abstract

This project aims to provide a framework for observer design for singularly perturbed systems, analyse performance/robustness of such designs and apply it to engineering problems. Estimating unmeasured physical variables from available measurements is essential in engineering and science, but is hard when the system exhibits multiple time scales. This is common as dynamics occurring on much faster time scales age engineered systems’ physical properties, but tools to deal with these systems do not exist. This project aims to provide the fundamental science to estimate systems exhibiting multiple time scales. These results are expected to improve condition monitoring in mechanical, electrical ..

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Related publications (10)

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Practical exponential stability and closeness of solutions for singularly perturbed systems via averaging

Mohammad Deghat, Saeed Ahmadizadeh, Dragan Nesic, Chris Manzie

2021-01-25

This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not..

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Robustness analysis of nonlinear observers for the slow variables of singularly perturbed systems

L Cuevas, D Nešić, C Manzie

2020-09-25

Estimation of unmeasured variables is a crucial objective in a broad range of applications. However, the estimation process turns ..

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A Multi-observer Approach for Parameter and State Estimation of Nonlinear Systems with Slowly Varying Parameters

Luis Cuevas, Dragan Nesic, Chris Manzie, Romain Postoyan

2020-01-01

This manuscript addresses the parameter and state estimation problem for continuous time nonlinear systems with unknown slowly tim..

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Observing the Slow States of General Singularly Perturbed Systems

Mohammad Deghat, Dragan Nesic, Andrew R Teel, Chris Manzie

2020-01-01

This paper studies the behaviour of observers for the slow states of a general singularly perturbed system - that is a singularly ..

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Convergence of full-order observers for the slow states of a singularly perturbed system (Part II: Applications)

Luis Cuevas, Dragan Nesic, Chris Manzie

2019-01-10

Many natural and engineered systems exhibit a singularly perturbed structure where different time scales inherently lead to diffic..

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Convergence of full-order observers for the slow states of a singularly perturbed system (Part I: Theory)

Luis Cuevas, Dragan Nesic, Chris Manzie

2019-01-10

Estimation of physical variables of nonlinear systems with two-time scales is a hard task to address. Whilst nonlinear systems exh..

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Periodic event-triggered control of nonlinear systems using overapproximation techniques

DP Borgers, R Postoyan, A Anta, P Tabuada, D Nesic, WPMH Heemels

2018-08-01

In event-triggered control, the control task consisting of sampling the plant's output and updating the control input is executed ..

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Closeness of Solutions for Singularly Perturbed Systems via Averaging

Mohammad Deghat, Saeed Ahmadizadeh, Dragan Nesic, Chris Manzie

2018-01-01

This paper studies the behavior of singularly perturbed nonlinear differential equations with boundary-layer solutions that do not..

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Singularly Perturbed Algorithms for Velocity Consensus and Shape Control of Single Integrator Multi-Agent Systems

M Deghat, Z Sun, D Nešić, C Manzie

2018-01-01

This paper studies a distributed multi-agent control problem in which the agents have single-integrator dynamics. A distributed co..

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Uniting local and global observers for the state estimation of nonlinear continuous-time systems

Daniele Astolfi, Romain Postoyan, Dragan Nesic

2017-01-01

Generic techniques are available for the design of local observers for nonlinear continuous-time systems. By local, we mean that t..