Name
Title | ||
|---|---|---|
Anti-windup-based dynamic controller synthesis for nonlinear systems under input saturation. |
Abstract | ||
|---|---|---|
This paper describes the design of dynamic controller and static anti-windup compensator (AWC) for Lipschitz nonlinear systems under input saturation. Global and local AWC-based control schemes for stabilization of the nonlinear systems are proposed, and necessary conditions for feasibility of the control approaches are investigated. A one-step approach for simultaneous design of H"~ controller and AWC by means of linear matrix inequalities (LMIs) is presented herein, which supports multi-objective synthesis to attain stabilization or tracking, robustness against disturbance and noise, and penalization of large and high frequency control signals. This multi-objective synthesis can be accomplished by incorporating design weights, as commonly used in the standard H"~ control theory, to design a performance-oriented anti-windup-based control scheme. LMIs for the global control of the nonlinear systems subject to input saturation are derived by application of a quadratic Lyapunov function, the Lipschitz condition, the global sector condition, L"2 gain reduction, substantial matrix algebra and variable transformation. In order to cope with unstable and oscillatory nonlinear systems, LMI-based local results are established using a local sector condition. Additional conditions are derived, by incorporating properties of the saturation function, to ensure well-posedness of the controller. Two simulation examples are provided to show the effectiveness of the proposed control schemes for control of stable and chaotic nonlinear systems under input saturation. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.05.080 | Applied Mathematics and Computation |
Keywords | Field | DocType |
global control,input saturation,performance-oriented anti-windup-based control scheme,high frequency control signal,proposed control scheme,control approach,multi-objective synthesis,local awc-based control scheme,nonlinear system,control theory,anti-windup-based dynamic controller synthesis | Mathematical optimization,Control theory,Saturation (chemistry),Nonlinear system,Control theory,Matrix (mathematics),Robustness (computer science),Automatic frequency control,Lipschitz continuity,Chaotic,Mathematics | Journal |
Volume | ISSN | Citations |
220 | 0096-3003 | 4 |
PageRank | References | Authors |
0.40 | 15 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Muhammad Rehan | 1 | 133 | 16.80 |
| Abdul Qayyum Khan | 2 | 42 | 6.36 |
| Muhammad Abid | 3 | 46 | 10.69 |
| Naeem Iqbal | 4 | 20 | 5.88 |
| Babar Hussain | 5 | 4 | 0.74 |