\(\mathcal H_2\) control of Markovian jump LPV systems with measurement noises: application to a DC-motor device with voltage fluctuations

DOI10.1016/j.jfranklin.2016.12.015zbMath1378.93136OpenAlexW2564308088MaRDI QIDQ1691178

Peng Zhang

Publication date: 15 January 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.2016.12.015

zbMATH Keywords

nonlinear controlstabilizationmeasurement noisesincomplete transition descriptionsMarkovian jump LPV systems

Mathematics Subject Classification ID

Related Items (13)

\( \mathcal{H}_2\) control of Markovian jump systems with input saturation and incomplete knowledge of transition probabilities ⋮ Reachability and stabilization of scheduled steady-states for LPV single-input systems ⋮ Dynamic event-based dissipative asynchronous control for T-S fuzzy singular Markov jump LPV systems against deception attacks ⋮ Necessary and sufficient criteria for asynchronous stabilization of Markovian jump systems ⋮ Asynchronous dissipative filtering for Markov jump discrete-time systems subject to randomly occurring distributed delays ⋮ Event-based asynchronous and resilient filtering for singular Markov jump LPV systems against deception attacks ⋮ Nonquadratic stabilization conditions for nonhomogeneous Markovian jump fuzzy systems with higher-level operation modes ⋮ Finite-horizon suboptimal control of Markov jump linear parameter-varying systems ⋮ Robust \(\mathcal H_\infty\) filtering of discrete-time nonhomogeneous Markovian jump systems with dual-layer operation modes ⋮ Dissipative control of interval type-2 nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions ⋮ Nonquadratic local stabilization of nonhomogeneous Markovian jump fuzzy systems with incomplete transition descriptions ⋮ Improved asynchronous stabilization method for nonhomogeneous Markovian jump fuzzy systems with incomplete transition rates ⋮ State estimation and fuzzy sliding mode control of nonlinear Markovian jump systems via adaptive neural network

Cites Work

• Unnamed Item
• \(\mathcal{H}_{2}\) state-feedback control for LPV systems with input saturation and matched disturbance
• Parameter-dependent robust stability for uncertain Markovian jump systems with time delay
• Quantum mechanical model for two-state jump Markovian process
• Stabilization of Markovian jump systems with incomplete knowledge of transition probabilities and input quantization
• On the solution of discrete-time Markovian jump linear quadratic control problems
• Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays
• Robust control for nonhomogeneous Markov jump processes: an application to DC motor device
• Control synthesis of Markovian jump fuzzy systems based on a relaxation scheme for incomplete transition probability descriptions
• Delay-dependent stability analysis and \(\mathcal{H}_{\infty}\) control for LPV systems with parameter-varying state delays
• Sliding mode control with bounded \(\mathcal L_2\) gain performance of Markovian jump singular time-delay systems
• H _∞ filtering for singular Markovian jump systems with time delay
• Observer design with guaranteed RMS gain for discrete-time LPV systems with Markovian jumps
• H_∞fuzzy control design of discrete-time nonlinear active fault-tolerant control systems
• Linear Matrix Inequalities in System and Control Theory
• Survey of gain-scheduling analysis and design
• Quantized filtering for Markovian jump LPV systems with intermittent measurements
• Stability Analysis of Networked Sampled-Data Linear Systems With Markovian Packet Losses
• LMI Techniques for Optimization Over Polynomials in Control: A Survey
• Exponential stability of stochastic delay interval systems with Markovian switching
• Robust Stability and Stabilization of Uncertain Discrete-Time Markovian Jump Linear Systems
• On the control of Markov jump linear systems with no mode observation: application to a DC Motor device
• Optimal Discounted Stochastic Control for Diffusion Processes
• Decentralized control of power systems via robust control of uncertain Markov jump parameter systems

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