Nonlinear static output feedback controller design for uncertain polynomial systems: An iterative sums of squares approach
- Resource Type
- Conference
- Authors
- Nguang, Sing Kiong; Krug, Matthias; Saat, Shakir
- Source
- 2011 6th IEEE Conference on Industrial Electronics and Applications Industrial Electronics and Applications (ICIEA), 2011 6th IEEE Conference on. :979-984 Jun, 2011
- Subject
- Signal Processing and Analysis
Robotics and Control Systems
Communication, Networking and Broadcast Technologies
Components, Circuits, Devices and Systems
Computing and Processing
Output feedback
Polynomials
Lyapunov methods
Iterative methods
Mathematical model
Linear matrix inequalities
Programming
- Language
- ISSN
- 2156-2318
2158-2297
This paper examines the problem of designing a nonlinear static output feedback controller for uncertain polynomial systems via an iterative sums of squares approach. The derivation of the static output feedback controller is given in terms of the solvability conditions of state dependent bilinear matrix inequalities (BMIs). An iterative algorithm based on the sum of squares (SOS) decomposition is proposed to solve these state-dependent BMIs. Finally, numerical examples are provided at the end of the paper as to demonstrate the validity of the proposed design technique.