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A nonlinear control strategy for controlling a motion system with mechanical resonance is presented in this paper. A mathematical model of the servo system is derived according to the parameters of an actual system. By using two Tracking-Differentiators, reference input and system output are tracked and their differential signals are given simultaneously. A nonlinear PD control law in velocity loop...
Based on the main concept of sliding mode control (SMC) theory, this study proposes a robust control law for a class of multivariable linear uncertain systems. As in conventional SMC, the developed method provides robustness against to matched model uncertainty and unknown external disturbances. A control gain used for system transformation is obtained by incorporating linear matrix inequalities (LMIs)...
This paper deals with singular linear quadratic (LQ) suboptimal control problem with disturbance rejection for descriptor systems. Under some conditions, a suboptimal control-state pair can be found such that the performance of the closed-loop system is within some range; the suboptimal control can be synthesized as state feedback and the state trajectory of the closed-loop system is uniquely determined...
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