Estimation of stability regions for continuous-time systems with actuator saturation via homogeneous parameter-dependent quadratic Lyapunov functions

2017 ◽  
Author(s):  
Zhong Xiang ◽  
Wang Zenggui ◽  
Guochen Pang
Keyword(s):  
Continuous Time ◽  
Lyapunov Functions ◽  
Actuator Saturation ◽  
Stability Regions ◽  
Continuous Time Systems ◽  
Quadratic Lyapunov Functions ◽  
Parameter Dependent ◽  
Time Systems

scholarly journals An Improved Antiwindup Design Using an Anticipatory Loop and an Immediate Loop

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Qing Wang ◽  
Maopeng Ran ◽  
Chaoyang Dong ◽  
Maolin Ni
Keyword(s):  
Linear Matrix Inequalities ◽  
Continuous Time ◽  
Actuator Saturation ◽  
Sufficient Conditions ◽  
The Other ◽  
Linear Matrix ◽  
Matrix Inequalities ◽  
Continuous Time Systems ◽  
Linear Invariant ◽  
Time Systems

We present an improved antiwindup design for linear invariant continuous-time systems with actuator saturation nonlinearities. In the improved approach, two antiwindup compensators are simultaneously designed: one activated immediately at the occurrence of actuator saturation and the other activated in anticipatory of actuator saturation. Both the static and dynamic antiwindup compensators are considered. Sufficient conditions for global stability and minimizing the inducedL2gain are established, in terms of linear matrix inequalities (LMIs). We also show that the feasibility of the improved antiwindup is similar to the traditional antiwindup. Benefits of the proposed approach over the traditional antiwindup and a recent innovative antiwindup are illustrated with well-known examples.

scholarly journals Robust switched controller design for linear continuous-time systems

2015 ◽  
Vol 25 (4) ◽  
pp. 401-416 ◽  
Author(s):  
Adrian Ilka ◽  
Vojtech Veselý
Keyword(s):  
Continuous Time ◽  
Controller Design ◽  
Design Procedure ◽  
Quadratic Stability ◽  
Quadratic Cost ◽  
Novel Approach ◽  
Continuous Time Systems ◽  
Parameter Dependent ◽  
Time Systems ◽  
Quadratic Cost Function

Abstract In this paper we study a novel approach to the design of a robust switched controller for continuous-time systems described by a novel robust plant model using quadratic stability and multi parameter dependent quadratic stability approaches. In the proposed design procedure with an output feedback a novel quadratic cost function is proposed which allows to obtain different performance dependence on the working points. Finally a numerical examples are investigated.

scholarly journals On the Computation of Set-Induced Control Lyapunov Functions for Continuous-Time Systems

2015 ◽  
Vol 53 (3) ◽  
pp. 1305-1327 ◽  
Author(s):  
Mirko Fiacchini ◽  
Christophe Prieur ◽  
Sophie Tarbouriech
Keyword(s):  
Continuous Time ◽  
Lyapunov Functions ◽  
Continuous Time Systems ◽  
Time Systems
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