Design of Third-order Zero-free MRACS Taking State Variables from Model

doi:10.16182/j.issn1004731x.joss.201804041

Abstract

Abstract: Since the current design method of the relative order n^*≥3 MRACS taking state variables from model introduces some linear positive feedback loops, so it is difficult to be used in practical systems. This paper took the third-order zero-free (n^*=3) system as the study object and designed the controller for third-order zero-free MRACS taking state variables from model by using the zero state equivalence relation between two different control systems. The design method of the controller is based on the Popov hyperstability theory. The controller only used integrators except for a differentiator and avoided introducing linear positive feedback loops, so it is easy to be applied in practical systems. To verify the validity of the controller, the model of a digital hydraulic system with the controller was built in Simulink for the simulation study. The simulation results show that the controller has the advantages of simple structure, easy realization and higher control precision, as well as strong robustness to interference.

Key words: relative order, model reference adaptive control system (MRACS), taking state variables from model, third-order zero-free, Popov hyperstability theory

CLC Number:

TP13

Qian Chao, Song Fei. Design of Third-order Zero-free MRACS Taking State Variables from Model[J]. Journal of System Simulation, 2018, 30(4): 1542-1550.

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