A coordinating approach for the solution of discrete linear servo‐mechanism problems with constraints

Hassan, Mohamed F.; Ali, Awatef K.

doi:10.1002/asjc.48

Cited by 4 publications

(4 citation statements)

References 16 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…while satisfying the model of the system (51) as well as the system constraints given by (53) and (54) is firstly designed for the deterministic system using the approach developed by Hassan et Ali [6]. The obtained trajectories as well as the output measurements are corrupted by the noise signals w(k) and v(k +1) for estimation purposes.…”

Section: A Numerical Examplementioning

confidence: 99%

“…Several researchers have worked on the design of state estimations when the states of the system are constrained either by equality constraints or inequality constraints or both [1][2][3][4][5][6][8][9][10][11][12][13][14][15][16]19,[21][22][23][24][25][26][27][28][29][30][31]. For example, Wen and Durrant-Whyte [30] reduced the model of the system by substituting the equality constraints into the model of the system.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A recursive state estimator in the presence of state inequality constraints

Hassan

Zribi

Alazemi

2011

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

This paper proposes an optimal recursive estimator to estimate the states of a stochastic discrete time linear dynamic system when the states of the system are constrained with inequality constraints. The case when the constraints are strictly satisfied is treated independently from the case when some of the constraints are violated. For the first case, the well known Kalman filter estimator is used. In the second case, an algorithm which uses a series of successive orthogonalizations on the measurement subspaces is employed to obtain the optimal estimate. It is shown that the proposed estimator has several attractive properties such that it is an unbiased estimator. More importantly, compared to other estimator found in the literature, the proposed estimator needs less computational efforts, is numerically more stable and it leads to a smaller variance. To show the effectiveness of the proposed estimator, several simulation results are presented and discussed.

show abstract

Section: A Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A recursive state estimator in the presence of state inequality constraints

Hassan

Zribi

Alazemi

2011

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

show abstract

“…Following [31], the control signal u k , which minimizes (25) and satisfies the inequality constraints (27), is given by…”

Section: Control Designmentioning

confidence: 99%

“…Although these approaches lead to stabilizing control strategies, they cannot handle input‐constrained control problems. In that regard, different techniques have been proposed to solve the control problem of linear and nonlinear systems subject to a set of equality and/or inequality constraints on the states and/or the control . However, these approaches mainly depend on solving the two‐point boundary value control problem, which is not suitable for observer‐based control problems.…”

Section: Introductionmentioning

confidence: 99%

Observer-based controller for constrained uncertain stochastic nonlinear discrete-time systems

Hassan

Alrifai

Soliman

et al. 2015

Int. J. Robust. Nonlinear Control

Self Cite

View full text Add to dashboard Cite

Summary In this paper, an observer‐based control approach is proposed for uncertain stochastic nonlinear discrete‐time systems with input constraints. The widely used extended Kalman filter (EKF) is well known to be inadequate for estimating the states of uncertain nonlinear dynamical systems with strong nonlinearities especially if the time horizon of the estimation process is relatively long. Instead, a modified version of the EKF with improved stability and robustness is proposed for estimating the states of such systems. A constrained observer‐based controller is then developed using the state‐dependent Riccati equation approach. Rigorous analysis of the stability of the developed stochastically controlled system is presented. The developed approach is applied to control the performance of a synchronous generator connected to an infinite bus and chaos in permanent magnet synchronous motor. Simulation results of the synchronous generator show that the estimated states resulting from the proposed estimator are stable, whereas those resulting from the EKF diverge. Moreover, satisfactory performance is achieved by applying the developed observer‐based control strategy on the two practical problems. Copyright © 2015 John Wiley & Sons, Ltd.

show abstract

An observer-based controller for nonlinear systems: A gain scheduling approach

Hassan

Zribi

2014

Applied Mathematics and Computation

View full text Add to dashboard Cite

A coordinating approach for the solution of discrete linear servo‐mechanism problems with constraints

Cited by 4 publications

References 16 publications

A recursive state estimator in the presence of state inequality constraints

A recursive state estimator in the presence of state inequality constraints

Observer-based controller for constrained uncertain stochastic nonlinear discrete-time systems

An observer-based controller for nonlinear systems: A gain scheduling approach

Contact Info

Product

Resources

About