scholarly journals Linear-quadratic control with and without stability subject to general implicit continuous-time systems: coordinate-free interpretations of the optimal costs in terms of dissipation inequality and linear matrix inequality; existence and uniqueness of optimal controls and state trajectories

1994 ◽  
Vol 203-204 ◽  
pp. 607-658 ◽  
Author(s):  
Ton Geerts
Keyword(s):  
Continuous Time ◽  
Existence And Uniqueness ◽  
Linear Matrix ◽  
Optimal Controls ◽  
Matrix Inequality ◽  
Linear Quadratic Control ◽  
Linear Quadratic ◽  
Dissipation Inequality ◽  
Continuous Time Systems ◽  
Time Systems

scholarly journals Observer-based fault estimation for linear systems with distributed time delay

2013 ◽  
Vol 23 (2) ◽  
pp. 169-186 ◽  
Author(s):  
Anna Filasová ◽  
Daniel Gontkovič ◽  
Dušan Krokavec
Keyword(s):  
Time Delay ◽  
Fault Estimation ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Matrix Inequalities ◽  
Structured Matrix ◽  
Continuous Time Systems ◽  
Distributed Time Delay ◽  
And Performance ◽  
Time Systems

The paper is engaged with the framework of designing adaptive fault estimation for linear continuous-time systems with distributed time delay. The Lyapunov-Krasovskii functional principle is enforced by imposing the integral partitioning method and a new equivalent delaydependent design condition for observer-based assessment of faults are established in terms of linear matrix inequalities. Asymptotic stability conditions are derived and regarded with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. Simulation results illustrate the design approach, and demonstrates power and performance of the actuator fault assessment.

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 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.

A generalised optimal linear quadratic tracker with universal applications – part 1: continuous-time systems

2016 ◽  
Vol 48 (2) ◽  
pp. 376-396 ◽  
Author(s):  
Faezeh Ebrahimzadeh ◽  
Jason Sheng-Hong Tsai ◽  
Ying Ting Liao ◽  
Min-Ching Chung ◽  
Shu-Mei Guo ◽  
...  
Keyword(s):  
Continuous Time ◽  
Linear Quadratic ◽  
Continuous Time Systems ◽  
Optimal Linear ◽  
Time Systems

DESIGN OF AN OPTIMAL PREVIEW CONTROLLER FOR CONTINUOUS-TIME SYSTEMS

2011 ◽  
Vol 09 (04) ◽  
pp. 655-673 ◽  
Author(s):  
FUCHENG LIAO ◽  
YUAN YAN TANG ◽  
HEPING LIU ◽  
YUNJIAN WANG
Keyword(s):  
Optimal Control ◽  
Continuous Time ◽  
Design Method ◽  
Original System ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Time Control ◽  
Differentiable Functions ◽  
Continuous Time Systems ◽  
Time Systems

This paper studies the preview control problem for continuous-time control systems. A design method for an optimal preview controller is presented, when the desired tracking and disturbance are piecewise-continuously differentiable functions. Applying the same techniques as for optimal control in linear quadratic optimal control, we derive a type-one servomechanism with both desired tracking preview and disturbance preview compensation. A proof is presented that if the original system is stabilizable and detectable, the closed-loop system is asymptotically stable. We also design a full-dimensional state observer for the considered system. Finally, numerical simulations show the efficiency of the controller.

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