Robust PI observer design for linear time-delay systems

Sadaka, H.; Shafai, B.; Sipahi, Rifat

doi:10.1109/cca.2009.5280978

Cited by 6 publications

(1 citation statement)

References 15 publications

(9 reference statements)

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“…OBSERVER DESIGN FOR FOS We consider two types of fractional order observers for FOS based on the conventional Luenberger observer or proportional observer (P −Observer) and the proportional integral observer (P I−Observer). The P I−Observer for regular systems has proven advantages in LTR design in connection to observer-based LQR in optimal control, disturbance estimation and fault detection [32]- [35]. It is expected that the same advantages can carry over for FOS.…”

Section: Definitionmentioning

confidence: 96%

Positive observer design for fractional order systems

Shafai

Oghbaee

2014

2014 World Automation Congress (WAC)

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This paper initially starts with an overview of fractional order representation of linear continuous-time systems and their stability analysis. The design of fractional order observers for fractional order system (FOS) is considered with the purpose of estimating the system states in feedback implementation. Using the stability conditions for FOS, design procedures for both fractional order observer of proportional and proportional integral types (P α −Observer and P I α −Observer) are given with the aim of generalizing the conventional P − and P I−Observers. Finally, the problem of positive P α −Observer design for positive FOS is formulated and solved using linear programming. The possibility of incorporating P α −Observer and state feedback control law is also addressed for stabilization of FOS.

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Section: Definitionmentioning

confidence: 96%

Positive observer design for fractional order systems

Shafai

Oghbaee

2014

2014 World Automation Congress (WAC)

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Proportional-Integral Observer in Robust Control, Fault Detection, and Decentralized Control of Dynamic Systems

Shafai

Saif

2015

Studies in Systems, Decision and Control

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Abstract. This chapter initially reviews observer theory as it was developed over the past few decades. The state observer and its order reduction including functional observer in connection to state feedback control design are briefly discussed. The robustness of observer-based controller design is also explored. The loss of robustness due to the inclusion of observer in optimal linear quadratic regulator (LQR) and its recovery procedure (LTR) are summarized. The subsequent development of new observer structures such as disturbance observer (DO), unknown input observer (UIO), and proportional-integral observer (PIO) for disturbance estimation and fault detection is highlighted. Throughout the chapter we concentrate mainly on important advantages of PI-observer. Finally, we consider the problem of designing a decentralized PI observer with prescribed degree of convergence for a set of interconnected systems. Under the assumption of linear interactions, we provide a direct design procedure for the PI observer which can effectively be used in disturbance estimation and observer-based control design enhancing the robustness properties. In this connection we also extend the results to the case of designing controllers that attenuate the disturbance while preserving the stability. It is shown that the design can be formulated in terms of LMI which efficiently solve the problem.

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