Design of a Robust H∞ Controller for Affine Nonlinear Singular Systems with Norm-bounded Time-varying Uncertainties | ||
| AUT Journal of Modeling and Simulation | ||
| مقاله 7، دوره 52، شماره 2، اسفند 2020، صفحه 215-228 اصل مقاله (1.41 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/miscj.2020.17834.5197 | ||
| نویسندگان | ||
| Vahid Shojaee1؛ Masoud Shafiee* 2؛ Heidar Ali Talebi1 | ||
| 1Dept. of Electrical Engineering, Amirkabir University of Technology, Tehran, Iran | ||
| 2دانشکده مهندسی برق دانشگاه صنعتی امیرکبیر | ||
| چکیده | ||
| In this paper, the problem of robust H∞ control for continuous-time affine nonlinear singular systems with norm-bounded time-varying uncertainties is addressed. The problem is solved locally by employing two different approaches. The first approach is an extended version of the guaranteed cost control method, adapted in order to conform to affine nonlinear singular systems. The second approach is an indirect method in which a known auxiliary system is presented and it is shown that any control law which solves the H∞ control problem for this auxiliary system, also solves the robust H∞ control problem for the original unknown system. In both approaches, sufficient conditions for the solvability of the considered robust H∞ control problem are provided in terms of a generalized Hamilton-Jacobi-Isaacs inequality. In order to show the consistency of our results, solving the robust H∞ control problem for linear uncertain singular systems is considered, and, it is shown that the corresponding results in linear domain are the special cases of our results. Finally, a numerical example is given to illustrate the applicability of the presented approaches. | ||
| کلیدواژهها | ||
| Nonlinear singular systems؛ Robust H∞ control؛ Nonlinear H∞ control؛ Hamilton-Jacobi-Isaacs (in)equality | ||
| مراجع | ||
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