Sub-Optimal Control of Uncertain Linear Switching Systems

Document Type : Original Article

Authors

Department of Electrical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract

In this paper, a sub-optimal control for a class of uncertain linear switching systems is presented that it includes external disturbance, parametric uncertainty and bounded uncertain nonlinear term with order 2 or higher due to modeling error. Switching signal and control input are designed to minimize a given cost function. Dynamic programming has been efficiently applied to certain switching systems as an optimal control strategy. There are difficulties to apply dynamic programming to uncertainty switching systems. To overcome the problems, this paper presents an appropriate method. The uncertainties of uncertain linear switching systems are compensated by robust time-delay controller. Then Switching signal and control input are design by using dynamic programming. As one practical example, we apply the proposed control approach to control of Mass-spring-damper system. The Stability analysis and simulation verify effectiveness of the proposed control approach.

Keywords

References

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TABRIZ JOURNAL OF ELECTRICAL ENGINEERING
Volume 50, Issue 4 - Serial Number 94
March 2021
Pages 1909-1918

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