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In this paper,we investigated non-smooth bifurcation control of a piecewise-linear continuous system with a canonical form for the first time.We presented the conditions under which the system has only one stable or unstable equilibrium point.Furthermore,we eliminated some non-smooth bifurcations of the system,by designing two controllers,such as simultaneous feedback controller and switched feedback controller.Simultaneous feedback controller is linear and switched feedback controller is piecewise-linear,which have all a simple structure and available control properties.Numerical simulations showed that these methods were effective.