Abstract:
This paper extends the method originally proposed in [1] to systems with an arbitrary
number of inputs and outputs. The method ensures that these signals will be in given domains.
Two sequential changes of coordinates are introduced to solve the problem. The first change
reduces the plant’s output to a new variable of a dimension not exceeding that of the control
vector (input). The second change allows passing from the control problem with constraints to
the one without them. The effectiveness of this method is illustrated for two problems. The first
problem is designing a state-feedback controller for linear systems with constraints imposed on
the input and state variables. The second problem is designing an output-feedback controller
for linear systems with constraints imposed on the output and input. In both problems, the
stability of the closed loop system is verified in terms of linear matrix inequalities. The results
are accompanied by simulation examples to show the effectiveness of the proposed method.
Keywords:dynamic system, the change of coordinates, stability, control.
Presented by the member of Editorial Board:A. Polyakov