FURTHER RESULTS ON ROBUST EXPONENTIAL STABILIZATION FOR TIME-VARYING DELAY SATURATING ACTUATOR SYSTEMS WITH DELAY-DEPENDENCE

Authors

Pin-Lin Liu, Department of Electrical Engineering, Chienkuo Technology University, Taiwan, R.O.C.Follow

Abstract

The problem of delay-dependent exponential robust stabilization for a class of uncertain saturating actuator systems with time-varying delay is investigated. Novel exponential stability and stabilization criteria for the system are derived using the Lyapunov-Krasovskii functional combined with Leibniz-Newton formula. The issue of exponential stabilization for time-varying delay systems with saturating actuator using generalized eigenvalue problem (GEVP) approach remains open, which motivates this paper. The designed controller is dependent on the time-delay and its rate of change. All the conditions are presented in terms of linear matrix inequalities (LMIs), which can solved efficiently by using the convex optimization algorithms. A state feedback control law is also given such that the resultant closed-loop system is stable for admissible uncertainties. Two numerical examples are given to demonstrate the efficiency of the obtained results

Recommended Citation

Liu, Pin-Lin (2013) "FURTHER RESULTS ON ROBUST EXPONENTIAL STABILIZATION FOR TIME-VARYING DELAY SATURATING ACTUATOR SYSTEMS WITH DELAY-DEPENDENCE," Journal of Marine Science and Technology: Vol. 21: Iss. 2, Article 3.
DOI: 10.6119/JMST-012-0109-3
Available at: https://jmstt.ntou.edu.tw/journal/vol21/iss2/3