Delay-Dependent Robust Stabilization of Uncertain Linear State-Delayed Systems via Static Output Feedback *

1998 ◽  
Vol 31 (19) ◽  
pp. 1-6 ◽  
Author(s):  
Xi Li ◽  
Carlos E. de Souza ◽  
Alexandre Trofino
Keyword(s):  
Output Feedback ◽  
Robust Stabilization ◽  
Static Output Feedback ◽  
Delayed Systems ◽  
Linear State ◽  
Delay Dependent ◽  
Static Output

scholarly journals Sufficient Dilated LMI Conditions for Static Output Feedback Robust Stabilization of Linear Continuous-Time Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Kamel Dabboussi ◽  
Jalel Zrida
Keyword(s):  
Output Feedback ◽  
Continuous Time ◽  
Robust Stabilization ◽  
Output Feedback Control ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Slack Variables ◽  
Continuous Time Systems ◽  
Time Systems ◽  
Static Output

New sufficient dilated linear matrix inequality (LMI) conditions for the static output feedback control problem of linear continuous-time systems with no uncertainty are proposed. The used technique easily and successfully extends to systems with polytopic uncertainties, by means of parameter-dependent Lyapunov functions (PDLFs). In order to reduce the conservatism existing in early standard LMI methods, auxiliary slack variables with even more relaxed structure are employed. It is shown that these slack variables provide additional flexibility to the solution. It is also shown, in this paper, that the proposed dilated LMI-based conditions always encompass the standard LMI-based ones. Numerical examples are given to illustrate the merits of the proposed method.

Synthesis Of Robust Control Systems With Dynamic Actuators And Sensors Using A Static Output Feedback Method

2020 ◽  
Author(s):  
Bruno Sereni ◽  
Roberto K. H. Galv˜ao ◽  
Edvaldo Assun¸c˜ao ◽  
Marcelo C. M. Teixeira
Keyword(s):  
Output Feedback ◽  
Linear Time ◽  
Robust Stabilization ◽  
Linear Matrix ◽  
Static Output Feedback ◽  
Sensors And Actuators ◽  
Actuator Dynamics ◽  
Linear Time Invariant ◽  
Incomplete System ◽  
Static Output

In this paper, we propose a strategy for the robust stabilization of uncertain linear time-invariant(LTI) systems considering sensors and actuators whose dynamics cannot be neglected. The control problem isaddressed by defining an augmented system encompassing the plant, sensor and actuator dynamics. The centralidea of the proposed method lies in the fact that the actual plant states, measured by sensors, are not available forfeedback, and thus, the problem can be regarded as a static output feedback (SOF) control design. Then, SOFgain matrices are computed through a two-stage method, based on linear matrix inequalities (LMIs). Intendingto illustrate the efficacy and explore the main features of the proposed technique, some computational examplesare presented in an application of the method for the design of a robust controller for the classic benchmarkproblem of the two-mass-spring problem. The examples cover the case of asymptotic stabilization of known anduncertain system model, in addition to decay rate inclusion and incomplete system state information.

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