# Applied Linear Optimal Control: Examples and Alogrithms

@article{Bryson2002AppliedLO, title={Applied Linear Optimal Control: Examples and Alogrithms}, author={A. Bryson}, journal={Applied Mechanics Reviews}, year={2002}, volume={56} }

Preface 1. Static estimation 2. Random processes 3. Dynamic estimation - filters 4. Dynamic estimation - smoothers 5. LQ SFB follower-controllors 6. LQG follower-controllers 7. Smoothers for controlled plants 8. Time-invariant filters 9. Time-invariant LQ SFB follower-controllers 10. Time-invariant LQG follower-controllers 11. Worst case controllers 12. Robust TI LQG controllers Appendices References Index.

#### 73 Citations

Novel fault detection criteria based on linear quadratic control performances

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This paper proposes a new approach to designing a relatively simple algorithmic fault detection system that is potentially applicable in embedded diagnostic structures. The method blends the LQ… Expand

LQ tracking controls with fixed terminal states and their application to receding horizon controls

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- Syst. Control. Lett.
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Finite horizon linear quadratic tracking controls with fixed terminal states are proposed in recursive forms for linear time-invariant (LTI) discrete- and continuous-time systems with guaranteed stability through simulation. Expand

Assessment of Linear Set-Point Controllers for a Direct Drive Nonlinear Pendulum

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- 2011 UkSim 13th International Conference on Computer Modelling and Simulation
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It is shown that when input constraints and delays are present, the synthesis procedure is non trivial and extensive nonlinear simulations are the only practical way to ensure that the linear design offers acceptable tracking performance in a large operation range while respecting the requirements ofinput constraints and robustness. Expand

Simultaneous Input and State Estimation for Linear Time-Varying Continuous-Time Stochastic Systems

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- IEEE Transactions on Automatic Control
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This work discusses some conditions under which meaningful estimation is possible and proposes an optimal filter that simultaneously estimates the states and unknown inputs in an unbiased minimum-variance sense and shows that a principle of separation of estimation and control holds and that the unknown inputs may be rejected. Expand

Nonlinear control and state estimation of holonomic indoor airship

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Three full-state optimal controllers are proposed to fulfill the requirements of flying an indoor holonomic airship in real-time, namely, hovering control, set-point control and continuous reference tracking with significant advantages over the PD controller in both simulation and real flights. Expand

An integrated optimal control algorithm for discrete-time nonlinear stochastic system

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Consider a discrete-time nonlinear system with random disturbances appearing in the real plant and the output channel where the randomly perturbed output is measurable. An iterative procedure based… Expand

Filtering solution of nonlinear stochastic optimal control problem in discrete-time with model-reality differences

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In this paper, we propose an efficient algorithm for solving a nonlinear stochastic optimal control problem in discrete-time, where the true filtered solution of the original optimal control problem… Expand

Integrated optimal control and parameter estimation algorithms for discrete-time nonlinear stochastic dynamical systems

- Mathematics
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This thesis describes the development of an efficient algorithm for solving
nonlinear stochastic optimal control problems in discrete-time based on the principle
of model-reality differences. The… Expand

Modeling and optimal control of a 3-axis motion simulator

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A linear quadratic regulator (LQR) control law is developed to track the attitude, angular rates and angular acceleration of the Navion aircraft in a complicated maneuver and is shown to be efficient in the presence of atmospheric turbulence, and robust to unknown bounded disturbances. Expand

Nonlinear Optimal Control of Holonomic Indoor Airship

- Computer Science
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A full-state feedback controller is proposed to meet the requirements for ying an indoor holonomic airship and achieves improvement in terms of overshoot and attitude tracking error when compared to a standard proportional-derivative controller. Expand

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