Abstract
Consider the problem of memoryless state feedback controller for time-delay system, which cannot consider both the memoryless and the memory items in the system. Therefore, the memoryless state feedback controller has certain limitations and is more conservative. This paper addresses the memory state feedback control for the time-varying delay switched fuzzy systems based on T-S fuzzy model to overcome the problem discussed above. The state vector and input of the time-varying delay systems contain unknown time-varying delay with known bounds. The designed controller whose parameters are solvable can introduce past state information and reduce the system conservativeness. The more general Lyapunov-Krasovskii functional is selected and the switching law is designed in order to analyze the open-loop system stability, and the memory state feedback controller is designed for the closed-loop system and the criterion for its asymptotic stability. Discuss the solvability of the above two criteria. Finally, a numerical example is given. The simulation results show that the proposed method is more feasible and effective.
Highlights
Hybrid systems are more common in real physical systems
Complex systems in which discrete event subsystems interact with continuous variable subsystems are called hybrid dynamic systems [1–5]
The model of switched system can be interpreted as a group of subsystems and switching laws describing the relationship between the subsystems [6–10]
Summary
Hybrid systems are more common in real physical systems. Complex systems in which discrete event subsystems interact with continuous variable subsystems are called hybrid dynamic systems [1–5]. This paper uses the Lyapunov function method to study the memory state feedback control problem for switched fuzzy time-varying delay switched fuzzy systems. The suitable switching law and the memory state feedback controller which has less conservativeness are designed and the more general Lyapunov functionals are selected in order to obtain the sufficient condition for the asymptotic stability of the closed-loop system. This sufficient condition is compared with that under the control of the memoryless state feedback controller for the closed-loop systems to explore the solvability problems. Simulation results testify that the proposed method is better than memoryless state feedback control under the same initial condition
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