Journal ArticleDOI
On the behaviour of optimal linear sampled-data regulators†
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In this paper, the optimal sampled-data control for linear processes with quadratic criteria is determined through application of the discrete minimum principle, and the effect of sampling on the closed-loop system's performance is investigated and the asymptotic behaviour of the optimal cost for large sampling periods is determined.Abstract:
Optimal sampled-data controls for linear processes with quadratic criteria are determined through application of the discrete minimum principle. The effect of sampling on the closed-loop system's performance is investigated and the asymptotic behaviour of the optimal cost for large sampling periods is determined. The resulting design method is applicable to continuous, sampled-data and discrete regulators.read more
Citations
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Journal ArticleDOI
The evaluation of time-weighted quadratic performance indices for discrete and sampled-data linear systems
Satoru Fukata,Hideyuki Tamura +1 more
TL;DR: Time-weighted quadratic performance indices are evaluated for discrete and sampled-data linear systems and it is shown that the result for sampled- data systems leads to the result of continuous systems when the sampling period approaches zero.
Journal ArticleDOI
On the design of a sensitivity-reducing optimal dead-beat controller
M. Gopal,P. Pratapchandran Nair +1 more
TL;DR: In this paper, a method is proposed for the design of constant gain feedback control laws for linear multivariable discrete-time systems which reduce trajectory sensitivity to small system parameter variations and ensure the closed-loop eigenvalues at the origin.
Posted Content
Unified Riccati theory for optimal permanent and sampled-data control problems in finite and infinite time horizons
Loïc Bourdin,Emmanuel Trélat +1 more
TL;DR: The Riccati theory is revisited and extended, unifying continuous-time linear-quadratic optimal permanent and sampled-data control problems, in finite and infinite time horizons, and it is proved that when the time horizon T tends to $+\infty$, one passes from the Sampled-Data Difference RicCati Equation to the Sampling-Data Algebraic Riccatis Equation.
Journal ArticleDOI
On the Optimal Control of Randomly Sampled Linear Stochastic Systems
TL;DR: It is shown that in the case of stochastic sampling the control problem is still separable if variance neutrality is assumed, but it is not certainty equivalent.
Journal ArticleDOI
Digital optimal control of continuous-time systems with control delay
TL;DR: In this paper, the authors solved the digital stationary optimal control problem in the case of scalar linear stochastic continuous-time systems with control delay, quadratic integral criteria, complete state information and constant sampling periods.
References
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Journal ArticleDOI
A General Solution for Linear, Sampled-Data Control
T. L. Gunckel,Gene F. Franklin +1 more
Journal ArticleDOI
On the Optimal Sampled Data Control of Strings of Vehicles
TL;DR: The optimal linear time-invariant sampled-data feedback control system is determined, and the general results are presented and are used to study the effect of changing the sampling time T upon the control-system performance.