A convex reformulation of the controller synthesis problem for MIMO single-delay systems with implementation in SOS

2017 ◽  
Author(s):  
Matthew M. Peet
Keyword(s):  
Controller Synthesis ◽  
Synthesis Problem ◽  
Delay Systems

Optimal controller synthesis for second order time delay systems with at least one RHP pole

2018 ◽  
Vol 73 ◽  
pp. 181-188 ◽  
Author(s):  
K. Ghousiya Begum ◽  
A. Seshagiri Rao ◽  
T.K. Radhakrishnan
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Optimal Controller ◽  
Time Delay Systems

Guaranteed Cost Control of Saturated Time-Varying Delay Systems

2012 ◽  
Vol 235 ◽  
pp. 129-134
Author(s):  
Han Lin He ◽  
Xiao Dong Wang ◽  
Wei Jun Li
Keyword(s):  
Schur Complement ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Degree Function ◽  
Varying Delay

This paper mainly considers the control problem of saturated time-varying delay systems. Applying the saturation degree function and the convex hull theory to handle the saturated terms, we put forward the guaranteed cost controller of the system according to the Lyapunov-Krasovskii theorem. Then we make use of Schur complement to convert the QMI (quadratic matrix inequality) to a LMI (linear matrix inequality) and so it can be easily used as controller synthesis. Finally, we apply the guaranteed cost controller to a two dimentional time-varying delay cellular neural networks, and the simulation results show the effectiveness of the proposed controller.

Delay-dependent robust H∞ control for neutral time-delay systems

2014 ◽  
Vol 24 (5) ◽  
Author(s):  
MAN SUN ◽  
AIMIN YANG
Keyword(s):  
Time Delay ◽  
Performance Criterion ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Descriptor System ◽  
Linear Matrix ◽  
Time Delay Systems ◽  
Matrix Inequalities ◽  
Delay Dependent ◽  
Decoupled Structure

We derive a delay-dependent H∞ performance criterion with a decoupled structure for systems with neutral time delay. We then extend it to an H∞ controller synthesis for systems with polytopic uncertainty. All conditions are given in terms of linear matrix inequalities (LMIs). In some previous descriptor system methods, the products of the controller and Lyapunov matrices are completely separated for the performance analysis, but not for controller synthesis - the method developed in the current paper eliminates this weakness. We present a numerical example to illustrate the effectiveness of the solution.

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