scholarly journals Robust Recursive Regulator for Systems Subject to Polytopic Uncertainties

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Jose Nuno A. D. Bueno ◽  
Kaio D. T. Rocha ◽  
Marco H. Terra
Keyword(s):  
Polytopic Uncertainties

scholarly journals Improved H2 and H¥ conditions for robust analysis and control synthesis of linear systems

2005 ◽  
Vol 16 (4) ◽  
pp. 427-434 ◽  
Author(s):  
Alexandre Trofino ◽  
Daniel F. Coutinho ◽  
Karina A. Barbosa
Keyword(s):  
Linear Systems ◽  
Control Synthesis ◽  
H Infinity ◽  
Stability Performance ◽  
Augmented Space ◽  
Polytopic Uncertainties ◽  
Discrete Time Case ◽  
Performance Conditions ◽  
And Control ◽  
Parameter Dependent

This paper proposes improved H-2 and H-infinity conditions for continuous-time linear systems with polytopic uncertainties based on a recent result for the discrete-time case. Basically, the performance conditions are built on an augmented-space with additional multipliers resulting in a decoupling between the Lyapunov and system matrices. This nice property is used to develop new conditions for the robust stability, performance analysis, and control synthesis of linear systems using parameter dependent Lyapunov functions in a numerical tractable way.

scholarly journals On Switched Control Design of Linear Time-Invariant Systems with Polytopic Uncertainties

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Wallysonn A. de Souza ◽  
Marcelo C. M. Teixeira ◽  
Máira P. A. Santim ◽  
Rodrigo Cardim ◽  
Edvaldo Assunção
Keyword(s):  
Lyapunov Function ◽  
Linear Time ◽  
Time Derivative ◽  
Control Design ◽  
Feedback Gain ◽  
Linear Time Invariant ◽  
Switched Control ◽  
Polytopic Uncertainties ◽  
Linear Time Invariant Systems ◽  
Time Invariant

This paper proposes a new switched control design method for some classes of linear time-invariant systems with polytopic uncertainties. This method uses a quadratic Lyapunov function to design the feedback controller gains based on linear matrix inequalities (LMIs). The controller gain is chosen by a switching law that returns the smallest value of the time derivative of the Lyapunov function. The proposed methodology offers less conservative alternative than the well-known controller for uncertain systems with only one state feedback gain. The control design of a magnetic levitator illustrates the procedure.

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