Abstract

This paper illustrates a method of designing a sliding mode linear functional observer for a system with unknown inputs. The existence conditions for the observer are presented. A structure and design algorithm for the sliding mode observer is proposed. The proposed algorithm is then applied for sensorless control of Permanent Magnet Synchronous Machines.

Highlights

  • Sliding mode observers differ from more traditional observers e.g. Luenberger observers, in that there is a non-linear term injected into the observer depending on the output estimation error

  • Motivated by reported robustness properties of sliding mode observers, in this paper we present the concept of sliding mode functional observers and apply it for sensorless control of Permanent Magnet Synchronous Motors (PMSM)

  • We present conditions for designing sliding mode functional observers when the system is subjected to unknown inputs

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Summary

Introduction

Sliding mode observers differ from more traditional observers e.g. Luenberger observers, in that there is a non-linear term injected into the observer depending on the output estimation error. This certain peculiar system characteristic which is a consequence of the switching function is claimed to result in superb system performance which includes insensitivity to parameter variations, and complete rejection of disturbances [3] These properties of sliding mode are investigated in this paper by simulating the proposed observer in sensorless control of PMSMs. In literature the state estimation problem for unknown input systems is well researched [14], [15], [16] application of sliding mode concepts to estimate a linear function of the state vector has not yet been addressed.

Problem Statement
Existence Conditions of the Observer
C AM2 C M2
C A Rank C
Design Algorithm
Dynamical Model of PMSM
PMSM Test Rig
Design of Sliding Mode Functional Observer
Simulation of Sliding Mode Functional Observer
Findings
Conclusion
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