Observer-based control for nonlinear parameter-varying systems: A sum-of-squares approach
| Autor: | Jianping Zeng, Pingfang Zhu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Lyapunov stability
0209 industrial biotechnology Observer (quantum physics) Iterative method Computer science Applied Mathematics 020208 electrical & electronic engineering MathematicsofComputing_NUMERICALANALYSIS Explained sum of squares Linear matrix inequality 02 engineering and technology Computer Science Applications 020901 industrial engineering & automation Control and Systems Engineering Control theory Backstepping Convex optimization 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering Instrumentation |
| Zdroj: | ISA transactions. 111 |
| ISSN: | 1879-2022 |
| Popis: | This paper investigates the design problem of nonlinear and time-varying observer-based controllers for nonlinear parameter-varying systems without/with input constraints. With the aid of Lyapunov stability theory, the state-and-parameter-dependent linear matrix inequality conditions are obtained. These conditions are developed as convex programming problems. And a feasible solution can be obtained via sum-of-squares techniques. Thus, the commonly used backstepping/iterative methods are avoided. In addition, the effect of the bilinear product forms for the controller gain matrix and the Lyapunov functional are eliminated. A remarkable advantage of this proposed approach is that the state-and-parameter-dependent observer and the state-feedback controller can be designed independently, which significantly reduces the computational complexity. Finally, the feasibility and validity of the proposed method can be illustrated by simulation results. |
| Databáze: | OpenAIRE |
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