This paper proposes a novel system-augmentation approach to the delay-dependent reliable piecewise-affine \H- static output feedback control for nonlinear systems with time-varying delay and sensor faults in the piecewise-Markovian-Lyapunov-functional-based framework. The nonlinear plant is described by a continuous-time Takagi-Sugeno fuzzy-affine model with parametric uncertainties, and the sensor faults are characterized by a Markov process. Specifically, by applying a state-input augmentation technique, the original closed-loop system is first reformulated into a descriptor fuzzy-affine system. Based on a new piecewise-Markovian Lyapunov-Krasovskii functional, combined with a Wirtinger-based integral inequality, improved reciprocally convex inequality, and S-procedure, a novel bounded real lemma is then derived for the underlying closed-loop system. Furthermore, by taking advantage of the redundancy of descriptor system formulation, together with a linearization procedure, the piecewise-affine controller synthesis is carried out. It is shown that the desired piecewise-affine controller gains can be attained by solving a linear matrix inequality based optimization problem. Finally, simulation examples are performed to confirm the effectiveness and less conservatism of the presented approach.
A Novel Approach to Reliable Output Feedback Control of Fuzzy-Affine Systems with Time Delays and Sensor Faults
2017-12-01
Wei , Y , Qiu , J & Lam , H K 2017 , ' A Novel Approach to Reliable Output Feedback Control of Fuzzy-Affine Systems with Time Delays and Sensor Faults ' IEEE Transactions on Fuzzy Systems , vol 25 , no. 6 , 7762153 , pp. 1808-1823 . DOI:10.1109/TFUZZ.2016.2633323
Article (Journal)
Electronic Resource
English
Output feedback control , piecewise-Markovian Lyapunov functional , Takagi-Sugeno (T-S) fuzzy-affine systems , time-varying delay , /dk/atira/pure/subjectarea/asjc/2200/2207 , Control and Systems Engineering , /dk/atira/pure/subjectarea/asjc/1700/1703 , Computational Theory and Mathematics , /dk/atira/pure/subjectarea/asjc/1700/1702 , Artificial Intelligence , /dk/atira/pure/subjectarea/asjc/2600/2604 , Applied Mathematics
DDC: | 629 |
BASE | 2018
|Adaptive reliable output tracking of networked control systems against actuator faults
BASE | 2017
|Output Feedback Control Under Randomly Varying Distributed Delays
Online Contents | 1994
|