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1. 6. 2016.
New VSC based finite time control of LTI systems
This paper proposes a finite time control for a class of linear time invariant multi-input continuous-time (CT) and discrete-time (DT) controllable systems. The main idea is to reduce the system order to zero, by using higher sliding control which drives states to origin in finite time. The control scheme is fully decentralized and differentiators are not needed for control realization. The CT reaching control uses the quasi-continuous control. For DT systems a new type of order reducing control named multi-step equivalent control is proposed. This control annihilates both the switching functions and states in a finite number of discrete time units, resulting in a dead-beat control.