Optimal Robust Linear Quadratic Regulator for Systems Subject to Uncertainties

@article{Terra2014OptimalRL,
  title={Optimal Robust Linear Quadratic Regulator for Systems Subject to Uncertainties},
  author={M. Terra and Joao P. Cerri and J. Ishihara},
  journal={IEEE Transactions on Automatic Control},
  year={2014},
  volume={59},
  pages={2586-2591}
}
  • M. Terra, Joao P. Cerri, J. Ishihara
  • Published 2014
  • Mathematics, Computer Science
  • IEEE Transactions on Automatic Control
    • In this technical note, a robust recursive regulator for linear discrete-time systems, which are subject to parametric uncertainties, is proposed. The main feature of the optimal regulator developed is the absence of tuning parameters in online applications. To achieve this purpose, a quadratic cost function based on the combination of penalty function and robust weighted least-squares methods is formulated. The convergence and stability proofs for the stationary system and a numerical… CONTINUE READING
    View on IEEE
    sel.eesc.usp.br
    Top 3 of 46 Citations
    Optimal robust filtering for systems subject to uncertainties
    J. Ishihara, M. Terra, Joao P. CerriAutom.2015
    26
    Robust Linear Quadratic Regulator for uncertain systems
    Ioannis Tzortzis, C. Charalambous, … C. Hadjicostis2016 IEEE 55th Conference on Decision and Control (CDC)2016
    6
    Recursive Robust Regulator for Discrete-Time Markovian Jump Linear Systems
    João P. Cerri, M. TerraIEEE Transactions on Automatic Control2017
    11

    Figures, Tables, and Topics from this paper.

    Figures and Tables

    Explore Further: Topics Discussed in This Paper

    46 Citations
    Citation Type

    Citation Type

    Optimal robust filtering for systems subject to uncertainties
    • 26
    • PDF
    Robust Linear Quadratic Regulator for uncertain systems
    • 6
    • PDF
    Recursive Robust Regulator for Discrete-Time Markovian Jump Linear Systems
    • 11
    • PDF
    Adaptive Sliding Mode Control With Parameter Estimation and Kalman Filter for Precision Motion Control of a Piezo-Driven Microgripper
    • 30
    Guaranteed cost approach for robust model predictive control of uncertain linear systems
    • 4
    • PDF
    Adaptive Critic-Based Event-Triggered Control for HVAC System
    • 31
    • Highly Influenced
    Robust guaranteed cost consensus for high-order discrete-time multi-agent systems with parameter uncertainties and time-varying delays
    • 10
    Adaptive dynamic programming-based stabilization of nonlinear systems with unknown actuator saturation
    • 5
    Extended robust Kalman filter for attitude estimation
    • 13
    • PDF
    Active Fault Tolerant Control for Vertical Tail Damaged Aircraft with Dissimilar Redundant Actuation System
    • 29
    • PDF

    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 47 REFERENCES
    Min-max control of constrained uncertain discrete-time linear systems
    • 459
    • PDF
    A riccati equation approach to the stabilization of uncertain linear systems
    • 781
    Optimal Control: Linear Quadratic Methods
    • 2,945
    • Highly Influential
    • PDF
    Robust stabilization of discrete-time linear systems with norm-bounded time-varying uncertainty
    • 122
    Robust stabilization and guaranteed cost control for discrete-time linear systems by static output feedback
    • 51
    Optimal guaranteed cost control of discrete‐time uncertain linear systems
    • 106
    Minimax linear observers and regulators for stochastic systems with uncertain second-order statistics
    • 106
    Recursive robust regulator for discrete-time state-space systems
    • 15
    • PDF
    Discrete time robust control via state feedback for single input systems
    • 29
    Linear Optimal Control Systems
    • 4,078
    • PDF