Search Results for author: Dennis S. Bernstein

Found 22 papers, 0 papers with code

Convergence of Recursive Least Squares Based Input/Output System Identification with Model Order Mismatch

no code implementations16 Apr 2024 Brian Lai, Dennis S. Bernstein

Next, this work analyzes online identification of input/output models in the case where the order of the identified model is higher than that of the true system.

Efficient Batch and Recursive Least Squares for Matrix Parameter Estimation with Application to Adaptive MPC

no code implementations16 Apr 2024 Brian Lai, Dennis S. Bernstein

Traditionally, batch least squares (BLS) and recursive least squares (RLS) are used for identification of a vector of parameters that form a linear model.

Model Predictive Control

Adaptive Kalman Filtering Developed from Recursive Least Squares Forgetting Algorithms

no code implementations16 Apr 2024 Brian Lai, Dennis S. Bernstein

KFLS is an extension of generalized forgetting recursive least squares (GF-RLS), a general framework which contains various extensions of RLS from the literature as special cases.

SIFt-RLS: Subspace of Information Forgetting Recursive Least Squares

no code implementations16 Apr 2024 Brian Lai, Dennis S. Bernstein

This paper presents subspace of information forgetting recursive least squares (SIFt-RLS), a directional forgetting algorithm which, at each step, forgets only in row space of the regressor matrix, or the \textit{information subspace}.

Experimental Application of Predictive Cost Adaptive Control to Thermoacoustic Oscillations in a Rijke Tube

no code implementations1 Feb 2024 Juan A. Paredes, Dennis S. Bernstein

Since the dynamics of a Rijke tube are difficult to model to a high level of accuracy, the implementation of MPC requires leveraging data from the physical setup as well as knowledge about thermoacoustics, which is labor intensive and requires domain expertise.

Model Predictive Control

A Data-Driven Autopilot for Fixed-Wing Aircraft Based on Model Predictive Control

no code implementations1 Feb 2024 Riley J. Richards, Juan A. Paredes, Dennis S. Bernstein

For applications in which the aerodynamics are unmodeled, the present paper proposes an autopilot based on predictive cost adaptive control (PCAC).

Model Predictive Control Scheduling

Adaptive Output-Feedback Model Predictive Control of Hammerstein Systems with Unknown Linear Dynamics

no code implementations28 Sep 2023 Mohammadreza Kamaldar, Dennis S. Bernstein

This paper considers model predictive control of Hammerstein systems, where the linear dynamics are a priori unknown and the input nonlinearity is known.

Model Predictive Control

Output-Feedback Nonlinear Model Predictive Control with Iterative State- and Control-Dependent Coefficients

no code implementations20 Sep 2023 Mohammadreza Kamaldar, Dennis S. Bernstein

By optimizing the predicted performance over a receding horizon, model predictive control (MPC) provides the ability to enforce state and control constraints.

Model Predictive Control

Real-Time Numerical Differentiation of Sampled Data Using Adaptive Input and State Estimation

no code implementations16 Aug 2023 Shashank Verma, Sneha Sanjeevini, E. Dogan Sumer, Dennis S. Bernstein

Real-time numerical differentiation plays a crucial role in many digital control algorithms, such as PID control, which requires numerical differentiation to implement derivative action.

Position

Generalized Forgetting Recursive Least Squares: Stability and Robustness Guarantees

no code implementations8 Aug 2023 Brian Lai, Dennis S. Bernstein

This work presents generalized forgetting recursive least squares (GF-RLS), a generalization of recursive least squares (RLS) that encompasses many extensions of RLS as special cases.

Self-Excited Dynamics of Discrete-Time Lur'e Models with Affinely Constrained, Piecewise-C1 Feedback Nonlinearities

no code implementations7 Jul 2023 Juan Paredes, Omran Kouba, Dennis S. Bernstein

Self-excited systems (SES) arise in numerous applications, such as fluid-structure interaction, combustion, and biochemical systems.

Experimental Flight Testing of an Adaptive Autopilot with Parameter Drift Mitigation

no code implementations20 Apr 2023 Yin Yong Chee, Parham Oveissi, Siyuan Shao, Joonghyun Lee, Juan A. Paredes, Dennis S. Bernstein, Ankit Goel

This paper modifies an adaptive multicopter autopilot to mitigate instabilities caused by adaptive parameter drift and presents simulation and experimental results to validate the modified autopilot.

Experimental Flight Testing of a Fault-Tolerant Adaptive Autopilot for Fixed-Wing Aircraft

no code implementations24 Oct 2022 Joonghyun Lee, John Spencer, Siyuan Shao, Juan Augusto Paredes, Dennis S. Bernstein, Ankit Goel

Next, the performance of the adaptive autopilot is examined under failure conditions by simulating a scenario where one of the control surfaces is assumed to be stuck at an unknown angle.

On the Accuracy of the One-step UKF and the Two-step UKF

no code implementations18 Aug 2022 Ankit Goel, Dennis S. Bernstein

The most accurate version of the unscented Kalman filter (UKF) involves the construction of two ensembles.

Retrospective Cost Parameter Estimation with Application to Space Weather Modeling

no code implementations15 Aug 2022 Ankit Goel, Dennis S. Bernstein

This technique, called retrospective cost parameter estimation (RCPE), is motivated by large-scale complex estimation models characterized by high-dimensional nonlinear dynamics, nonlinear parameterizations, and representational models.

An Adaptive Digital Autopilot for Fixed-Wing Aircraft with Actuator Faults

no code implementations21 Oct 2021 Joonghyun Lee, John Spencer, Juan Augusto Paredes, Sai Ravela, Dennis S. Bernstein, Ankit Goel

This paper develops an adaptive digital autopilot for a fixed-wing aircraft and compares its performance with a fixed-gain autopilot.

Position

Self-Excited Dynamics of Discrete-Time Lur'e Systems

no code implementations27 Sep 2021 Juan A. Paredes, Syed Aseem Ul Islam, Omran Kouba, Dennis S. Bernstein

Self-excited systems arise in numerous applications, such as biochemical systems, fluid-structure interaction, and combustion.

Regularization-Induced Bias and Consistency in Recursive Least Squares

no code implementations16 Jun 2021 Brian Lai, Syed Aseem Ul Islam, Dennis S. Bernstein

Within the context of recursive least squares (RLS) parameter estimation, the goal of the present paper is to study the effect of regularization-induced bias on the transient and asymptotic accuracy of the parameter estimates.

regression

Two Modifications of the Unscented Kalman Filter that Specialize to the Kalman Filter for Linear Systems

no code implementations1 Apr 2021 Ankit Goel, Dennis S. Bernstein

The ultimate goal is thus to develop modifications of UKF that specialize to the Kalman filter for linear systems and have improved accuracy for nonlinear systems.

Data-Driven Retrospective Cost Adaptive Control for Flight Control Application

no code implementations14 Feb 2021 Syed Aseem Ul Islam, Tam W. Nguyen, Ilya V. Kolmanovsky, Dennis S. Bernstein

The combination of RCAC and RLS-VRF constitutes data-driven RCAC (DDRCAC), where the online system identification is used to construct the target model, which defines the retrospective performance variable.

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