Due to widespread applications of a large number of flexible structures, to obtain the best dynamic control performance of a system, optimal locations of the actuators and sensors are necessary to be determined. This article proposes a novel optimal criterion for the actuators or sensors ensuring good controllability or observability of a structure, and also considering the remaining modes to control the spillover effect. Based on the proposed optimization criteria, a non-linear integer programming genetic algorithm is employed to achieve the optimal configurations. Active vibration control is investigated for a cantilever plate with the actuators in optimal positions to suppress the specified modes utilizing linear quadratic regulator controller. Several simulation results validate the efficiency and feasibility of the proposed optimal criteria.
BiglarMGromadaMStachowiczFet al. (2015) Optimal configuration of piezoelectric sensors and actuators for active vibration control of a plate using a genetic algorithm. Acta Mechanica226: 3451–3462.
2.
BruantIProslierL (2005) Optimal location of actuators and sensors in active vibration control. Journal of Intelligent Material Systems and Structures16: 197–206.
3.
BruantICoffignalGLeneFet al. (2001) A methodology for determination of piezoelectric actuator and sensor location on beam structures. Journal of Sound and Vibration243(5): 862–882.
4.
BruantIGallimardLNikoukarS (2010) Optimal piezoelectric actuator and sensor location for active vibration control using genetic algorithm. Journal of Sound and Vibration329: 1615–1635.
5.
BruantIGallimardLNikoukarS (2011) Optimization of piezoelectric sensors location and number using a genetic algorithm. Mechanics of Advanced Materials and Structures18: 469–475.
6.
DhingraALeeB (1995) Multiobjective design of actively controlled structures using a hybrid optimization method. International Journal for Numerical Methods in Engineering38: 3383–3401.
7.
DhuriKDSeshuP (2006) Piezo actuator placement and sizing for good control effectiveness and minimal change in original system dynamics. Smart Materials and Structures15: 1661–1672.
8.
FreckerM (2003) Recent advances in optimization of smart structures and actuators. Journal of Intelligent Material Systems and Structures14: 207–215.
9.
GawronskiWK (1998) Dynamics and Control of Structures: A Model Approach. Berlin: Springer.
10.
GneyMEskinatE (2007) Optimal actuator and sensor placement in flexible structures using closed-loop criteria. Journal of Sound and Vibration312: 210–233.
11.
GuptaVSharmaMThakurN (2010) Optimization criteria for optimal placement of piezoelectric sensors and actuators on a smart structure: a technical review. Journal of Intelligent Material Systems and Structures21: 1227–1243.
12.
HaleJMDarajiAH (2012) Optimal placement of sensors and actuators for active vibration reduction of a flexible structure using a genetic algorithm based on modified H_infinity. Journal of Physics Conference Series382: 1–6.
13.
HalimDMoheimaniSOR (2003) An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate. Mechatronics13: 27–47.
14.
HanJHLeeI (1999) Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms. Smart Materials and Structures8(2): 257–267.
15.
HiramotoKDokiHObinataG (2000) Optimal sensor/actuator placement for active vibration control using explicit solution of algebraic Riccati equation. Journal of Sound and Vibration229(5): 1057–1075.
16.
JhaAKInmanDJ (2003) Optimal sizes and placements of piezoelectric actuators and sensors for an inflated torus. Journal of Intelligent Material Systems and Structures14: 563–576.
17.
KimMLiQHuangJKet al. (2008) Dynamic active control of nonlinear panel flutter using aeroelastic modes and piezoelectric actuators. AIAA Journal46(3): 733–743.
18.
LiewKMLimCWKitipornchaiS (1997) Vibration of shallow shells: a review with bibliography. Applied Mechanics Reviews50(8): 431–444.
19.
LiuWHouZDemetriouMA (2006) A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial H2 measures. Mechanical Systems and Signal Processing20: 881–895.
MoghaddamJJBagheriA (2015) A novel stable deviation quantum-behaved particle swarm optimization to optimal piezoelectric actuator and sensor location for active vibration. Journal of Systems and Control Engineering229(6): 485–494.
22.
NamCKimYWeisshaarT (1996) Optimal sizing and placement of piezo-actuators for active flutter suppression. Smart Materials and Structures5: 2216–2224.
23.
ParkMPrzekopAPhairohTet al. (2011) Adaptive control of nonlinear free vibration of shallow shell using piezoelectric actuators. AIAA Journal49(3): 472–488.
24.
PreumontA (1999) Vibration Control of Active Structures. Dordrecht: Kluwer Academic Publishers.
25.
QiuZCZhangXMWuHXet al. (2007) Optimal placement and active vibration control for piezoelectric smart flexible cantilever plate. Journal Sound and Vibration301: 521–543.
26.
SerraMRestaFRipamontiF (2013) Dependent modal space control. Smart Materials and Structures22: 1–11.
