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Robust Stabilization Of Discrete-Time Multi-Model Systems Using Piecewise Affine State-Feedback
| Content Provider | CiteSeerX |
|---|---|
| Author | Foss, Bjarne A. Slupphaug, Olav |
| Abstract | : In this paper we develop a BMI based method for nonlinear robust stabilization. Robustness against model uncertainty is handled. The development is based on an uncertain multi-model representation of the plant, and an associated piecewise affine state-feedback structure. Assuming a quadratic Liapunov function, a BMI condition for robust (quadratic) stabilization is found. Control constraints are formulated as BMIs or LMIs. A branch-and-bound algorithm is used for solving the BMI problem, that is, finding the quadratic Liapunov function and the piecewise affine state-feedback. Finally, an example is given. Keywords: Nonlinear systems, discrete-time, quadratic stabilization, multi-model systems, BMI, constraints 1. INTRODUCTION Robust controller design is a key factor for implementing controllers. Robust design becomes particularly important, but also challenging, for nonlinear constrained uncertain systems, the outset for this work. In our approach we have utilized results... |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Key Factor Control Constraint Model Uncertainty Introduction Robust Controller Design Multi-model System Robust Stabilization Bmi Problem Quadratic Stabilization Nonlinear Robust Stabilization Branch-and-bound Algorithm Quadratic Liapunov Function Associated Piecewise Affine State-feedback Structure Robust Design Uncertain Multi-model Representation Bmi Condition Nonlinear System Piecewise Affine State-feedback Uncertain System |
| Content Type | Text |
| Resource Type | Article |
