You have already added 0 works in your ORCID record related to the merged Research product.
You have already added 0 works in your ORCID record related to the merged Research product.
Cost smoothing in discrete-time linear-quadratic control
Copyright policy )Elsevier BVCost smoothing in discrete-time linear-quadratic control
A smooth cost distribution can be a desirable feature in optimal control design when concerning even distribution of control energy and uniform resource allocation. This consideration is formulated in this paper for discrete-time linear systems where a square cost-variation term is attached to a primal quadratic performance index in an additive form. An analytical control law is obtained for the resulting non-linear-quadratic and nonseparable optimal control problem using a multilevel solution scheme. Investigating the trade-off between minimizing the primal quadratic performance index and minimizing the square cost-variation term offers some useful insights into multiobjective design of control systems.
- PricewaterhouseCoopers (Canada) Canada
- Chinese University of Hong Kong China (People's Republic of)
Microsoft Academic Graph classification: Multi-objective optimization Mathematical optimization Quadratic equation Mathematics Optimal control Discrete system Linear-quadratic-Gaussian control Nonlinear control Linear system Control theory Square (algebra)
ACM Computing Classification System: MathematicsofComputing_NUMERICALANALYSIS
Electrical and Electronic Engineering, Control and Systems Engineering
Electrical and Electronic Engineering, Control and Systems Engineering
Microsoft Academic Graph classification: Multi-objective optimization Mathematical optimization Quadratic equation Mathematics Optimal control Discrete system Linear-quadratic-Gaussian control Nonlinear control Linear system Control theory Square (algebra)
ACM Computing Classification System: MathematicsofComputing_NUMERICALANALYSIS
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!
- PricewaterhouseCoopers (Canada) Canada
- Chinese University of Hong Kong China (People's Republic of)
A smooth cost distribution can be a desirable feature in optimal control design when concerning even distribution of control energy and uniform resource allocation. This consideration is formulated in this paper for discrete-time linear systems where a square cost-variation term is attached to a primal quadratic performance index in an additive form. An analytical control law is obtained for the resulting non-linear-quadratic and nonseparable optimal control problem using a multilevel solution scheme. Investigating the trade-off between minimizing the primal quadratic performance index and minimizing the square cost-variation term offers some useful insights into multiobjective design of control systems.