Abstract
This study develops two efficient static output feedback (SOF) control approaches for a class of constrained non-linear processes represented by uncertain piecewise affine models. The parameter uncertainties in the piecewise affine models are assumed to be time varying and norm bounded. With the aid of the congruence transformation, degenerate ellipsoids-based S-procedure, and some bounding inequalities, the piecewise SOF controller can be easily obtained by solving a convex semi-definite programming problem subject to some linear matrix inequalities. The resulting closed-loop system stability can be guaranteed as well as the H-infinity control performance, and the stabilising design is less conservative owing to the piecewise quadratic Lyapunov functions. The performance of the proposed control approaches are demonstrated by simulation results on a non-linear benchmark plant.
| Original language | English |
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| Pages (from-to) | 2315-2330 |
| Number of pages | 16 |
| Journal | IET Control Theory and Applications |
| Volume | 4 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Nov 2010 |
Funding
The authors are grateful to the associate editor and anonymous reviewers for their constructive comments based on which the presentation of this paper has been greatly improved. The work described in this paper was partially supported by the Research Grants Council of the Hong Kong Special Administrative Region of China under Project CityU/113209, in part by the National Natural Science Foundation of China under Grant 61004038, in part by the 973 Project under Grant 2009CB320600, in part by the Postdoctoral Science Foundation of China under Grant 20100471059, and in part by the Overseas Talents Foundation of the Harbin Institute of Technology.
Research Keywords
- OBSERVER-BASED CONTROL
- DISCRETE-TIME-SYSTEMS
- GUARANTEED COST CONTROL
- SUGENO FUZZY-SYSTEMS
- LINEAR-SYSTEMS
- MATRIX INEQUALITIES
- STABILITY ANALYSIS
- HYBRID SYSTEMS
- CONTROL DESIGN
- LMI APPROACH