Improved synthesis method for Markov jump systems with uncertain transition rates

DOI10.1016/j.jfranklin.2015.09.016zbMath1395.93208OpenAlexW2204270528MaRDI QIDQ1660838

Yafeng Guo

Publication date: 16 August 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2015.09.016

zbMATH Keywords

controller designMarkov jump systemsuncertain transition ratesimproved synthesis

Mathematics Subject Classification ID

Control/observation systems with incomplete information (93C41) Design techniques (robust design, computer-aided design, etc.) (93B51) Linear systems in control theory (93C05) Adaptive or robust stabilization (93D21) Synthesis problems (93B50) Stochastic systems in control theory (general) (93E03)

Related Items

Reliable \(H_\infty\) control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure ⋮ Stability and stabilization of Markov jump systems with generally uncertain transition rates

Uses Software

• LMI toolbox

Cites Work

• Unnamed Item
• Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices
• Static output-feedback stabilization of discrete-time Markovian jump linear systems: a system augmentation approach
• Stability and stabilization of Markovian jump linear systems with partly unknown transition probabilities
• Continuous-time state-feedback \(H_2\)-control of Markovian jump linear systems via convex analysis
• \(H_\infty\)-control for Markovian jumping linear systems with parametric uncertainty
• Randomized algorithms for robust stability and guaranteed cost control of stochastic jump parameter systems with uncertain switching policies
• A note on equivalence between two integral inequalities for time-delay systems
• On robust stabilization of Markovian jump systems with uncertain switching probabilities
• A Convex Method of Robust Controller Design for Markovian Jump Systems with Uncertain Transition Rates
• RobustH₂control of Markovian jump systems with uncertain switching probabilities
• On stabilization of uncertain linear systems with jump parameters
• Analysis and Synthesis of Markov Jump Linear Systems With Time-Varying Delays and Partially Known Transition Probabilities
• Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions
• On avoiding vertexization of robustness problems: the approximate feasibility concept