Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates

DOI10.1080/00207721.2012.760668zbMath1317.93070OpenAlexW2123975100MaRDI QIDQ5499805

Guang-Hong Yang, Bo-Chao Zheng

Publication date: 31 July 2015

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207721.2012.760668

zbMATH Keywords

sliding mode controlMarkov jump linear systemslinear matrix inequality (LMI)partly unknown transition probabilities

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Variable structure systems (93B12) Stochastic systems in control theory (general) (93E03)

Related Items

Model predictive control for continuous-time singular jump systems with incomplete transition rates, Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance, Finite-time sliding mode control of Markovian jump systems subject to actuator nonlinearities and its application to wheeled mobile manipulator, Mixed \(H_{2}/H_{\infty}\) control of Markovian jump time-delay systems with uncertain transition probabilities, Robust fuzzy control for stochastic Markovian jumping systems via sliding mode method, Finite-timeH_∞control for a class of discrete-time Markovian jump systems with partly unknown time-varying transition probabilities subject to average dwell time switching, Input–output finite-time stabilisation of Markovian jump systems with incomplete transition rates: a sliding mode method, Parameter-dependent sliding mode control for Markovian jump systems within finite-time interval: handling randomly occurring actuator faults

Cites Work

• Gain-scheduled fault detection on stochastic nonlinear systems with partially known transition jump rates
• Transition probability bounds for the stochastic stability robustness of continuous- and discrete-time Markovian jump linear systems
• Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
• A singular system approach to robust sliding mode control for uncertain Markov jump systems
• A stabilization algorithm for a class of uncertain linear systems
• Filtering-based fault detection for stochastic Markovian jump system with distributed time-varying delays and mixed modes
• Robust \(H_2\) control of continuous-time Markov jump linear systems
• Sliding mode control for Itô stochastic systems with Markovian switching
• Stochastic stability and control
• On robust stabilization of Markovian jump systems with uncertain switching probabilities
• Robust ℋ︁_∞ PID control for multivariable networked control systems with disturbance/noise attenuation
• Robust adaptive sliding mode control for uncertain time-delay systems
• Robust weighted H∞ filtering for networked systems with intermittent measurements of multiple sensors
• Robust decentralized actuator fault detection and estimation for large-scale systems using a sliding mode observer
• Matrix Analysis
• Output feedback control of Markov jump linear systems in continuous-time
• Analysis and Synthesis of Markov Jump Linear Systems With Time-Varying Delays and Partially Known Transition Probabilities
• State Estimation and Sliding-Mode Control of Markovian Jump Singular Systems
• Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions
• On Designing of Sliding-Mode Control for Stochastic Jump Systems
• H₂state feedback controller design for continuous Markov jump linear systems with partly known information