On linear quadratic optimal control for time-varying multimodal linear systems with time-triggered jumps

Giovanni de Carolis (Corresponding author), Alessandro Saccon

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This letter details the solution to the linear quadratic (LQ) optimal control problem over a finite interval for time-varying multimodal linear systems with time-triggered jumps. By multimodal, we mean the possibility for the system state to change dimension after every jump. To this end, we introduce the multimodal jumping differential Riccati equation (MJDRE) and we show the equivalence between the solvability of the optimal control problem and the existence of a finite solution of the MJDRE. The MJDRE can be used to compute optimal tracking gains for hybrid system with state-triggered jumps, whose state dimension changes after each jump (multimodal hybrid system). This is demonstrated, in simulation, on a 2DOF dual-mass spring-damper system.

Originele taal-2Engels
Artikelnummer8738826
Pagina's (van-tot)217-222
Aantal pagina's6
TijdschriftIEEE Control Systems Letters
Volume4
Nummer van het tijdschrift1
DOI's
StatusGepubliceerd - 1 jan 2020

Vingerafdruk

Riccati equations
Linear systems
Time-varying
Optimal Control
Jump
Linear Systems
Hybrid systems
Riccati Differential Equation
Hybrid Systems
Optimal Control Problem
Damper
Solvability
Equivalence
Interval
Simulation

Citeer dit

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On linear quadratic optimal control for time-varying multimodal linear systems with time-triggered jumps. / de Carolis, Giovanni (Corresponding author); Saccon, Alessandro.

In: IEEE Control Systems Letters, Vol. 4, Nr. 1, 8738826, 01.01.2020, blz. 217-222.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

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