Computationally Efficient Suboptimal Mid Course Guidance Using Model Predictive Static Programming (MPSP)

Dwivedi, P.N.; Bhattacharyya, Abhijit; Padhi, Radhakant

doi:10.3182/20080706-5-kr-1001.00600

Cited by 9 publications

(10 citation statements)

References 9 publications

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“…in a sequential manner arranging the terms, we get (11) Since the initial condition is specified, there is no error in the first term which means 0 1  dX with this (11) reduces to…”

Section: B Guidance Design Using Mpsp and Dynamic Inversionmentioning

confidence: 99%

“…To achieve the goal of intercepting, uncertainties should be considered in the guidance design. In this paper, we investigate a recently developed nonlinear optimal control design technique, named as Model Predictive Static Programming (MPSP) [11], in conjunction with the "dynamic inversion approach" [7] to develop an online robust explicit guidance scheme which is insensitive to energy uncertainties in the solid motors performance.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Online Optimal Explicit Guidance Scheme for Long Range Missiles with Solid Motors

Ahmed

2010

The International Conference on Electrical Engineering

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By combining nonlinear model predictive static programming with dynamic inversion control, a hybrid robust explicit guidance scheme is developed for long range missiles with solid motors. The developed guidance technique can produce two successful guidance command profiles: a positive profile and a negative profile, where the negative profile solution provides relatively less control command magnitude at switch over time (i.e. time when the guidance is switched to dynamic inversion control) than guidance with the positive profile. However, the positive profile is more feasible for ballistic missile capability. The choice between the two profiles will depend on the constraints of the missile capability and mission requirement. The advantages of the developed guidance method are: 1) it is insensitive to energy uncertainties although the motor total impulse (i.e. the area under the thrust ~ time curve) is not constant, 2) it can be implemented online due to its closed form nature, with less computational difficulties. The numerical simulations demonstrate the advantages above. I.

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“…in a sequential manner arranging the terms, we get (11) Since the initial condition is specified, there is no error in the first term which means 0 1  dX with this (11) reduces to…”

Section: B Guidance Design Using Mpsp and Dynamic Inversionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Online Optimal Explicit Guidance Scheme for Long Range Missiles with Solid Motors

Ahmed

2010

The International Conference on Electrical Engineering

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“…Another important thing is that presently discretetime MPSP is developed for unconstrained problem. [10][11][12] So there is a need to develop MPSP algorithm for constrained problem. In this paper, we have developed a generic theory for flexible final time MPSP with input inequality constraints.…”

Section: Introductionmentioning

confidence: 99%

MPSP Guidance of a Solid Motor Propelled Launch Vehicle for a Hypersonic Mission

Maity¹,

Padhi²,

Mallaram

et al. 2012

AIAA Guidance, Navigation, and Control Conference

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A model predictive static programming (MPSP) guidance is presented in this paper for a carrier launch vehicle propelled by solid motor in a hypersonic technology demonstrator mission. The nonlinear suboptimal guidance assures very stringent final conditions at the injection point at the end of the guidance phase for successful beginning of the hypersonic vehicle operation. The recently-developed MPSP technique has been extended in this paper with flexible final time to ensure the very stringent final conditions with limited number of iterations. The technique is also further extended to incorporate input constraints, which ensures that the angle of attack and structural load bounds are not violated throughout the trajectory. A second-order autopilot has been incorporated in the simulation studies to mimic the effect of the inner-loops on the guidance performance. Simulation studies indicate that the proposed MPSP guidance can meet the stringent requirements of the hypersonic mission. Extensive simulation studies with perturbations in the thrust-time behavior, drag coefficient and mass demonstrates that the proposed algorithm is robust to modeling inaccuracies as well. NomenclatureX State vector of the dynamical system U Input (guidance) vector of the dynamical system Y Output vector of the dynamical system r Height from the center of the earth, m R e Radius of earth, 6378.4 × 10 3 m h Altitude of the vehicle from the surface of the earth, m V Velocity of the vehicle, m/s γ Flight path angle, deg M Mach number a Sound velocity, m/s m Mass of the vehicle, kg T Thrust, N α Angle of attack, deg g Acceleration due to gravity, m/s 2 D Drag, N L Lift, N ρ Atmospheric density, kg/m 3 C D

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“…Note that the MPSP technique brings in the philosophy of trajectory optimization into the framework of guidance design, which in turn results in very effective missile guidance. For more details about the technique, one can refer to some of the available literature (Padhi (2009)-Dwivedi (2008).…”

Section: Introductionmentioning

confidence: 99%

“…Successful applicability of the MPSP technique includes mid-course guidance with alignment angle constraints (Dwivedi (2008)) for reentry targets. Because of their high velocities such targets offer very small time window.…”

Section: Introductionmentioning

confidence: 99%

Improved Capturability of Terminal Angles with Modified Suboptimal Mid-course Guidance

Dwivedi¹,

Bhattacharyya²,

Padhi

2011

IFAC Proceedings Volumes

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Computationally Efficient Suboptimal Mid Course Guidance Using Model Predictive Static Programming (MPSP)

Cited by 9 publications

References 9 publications

An Online Optimal Explicit Guidance Scheme for Long Range Missiles with Solid Motors

An Online Optimal Explicit Guidance Scheme for Long Range Missiles with Solid Motors

MPSP Guidance of a Solid Motor Propelled Launch Vehicle for a Hypersonic Mission

Improved Capturability of Terminal Angles with Modified Suboptimal Mid-course Guidance

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