Closed-form solution for the Kalman filter gains of time-varyingsystems

A method for derivation of closed-form solutions for the differential Riccati matrix equation for specific time-varying systems is presented. It allows more insight into the nature of the solution. It reduces the on-line computation requirements, since it does not require on-line solution of a differential equation. Sufficient conditions for the existence of the closed-form solution are given. The method is applied to a target tracking problem     

Optimization of Surveillance Radar with Instrumented Range

The influence of the instrumented range on the selection of the radar parameters for maximal detection range is described. Procedures for optimization of the performance of the radar by an appropriate setting of its parameters, for specified instrumented range, are presented.     

Optimal guidance for acceleration constrained missile andmaneuvering target

Explicit formulas of optimal guidance laws for an acceleration-constrained, arbitrary-order missile and maneuvering target are derived. These formulas are given in terms of the transfer function and acceleration constraint of the missile and the transfer function/shaping filter of the target. Optimal full-state feedback guidance law is synthesized against a target performing a barrel roll maneuver, and compared with the performance of proportional navigation (PN) for minimum and nonminimum phase missile. Simulation of a third-order missile shows the relative gain from using the full-order guidance law     

Systematic Approach for Classification of Modern Surveillance Radar Systems

Inherent search volume is proposed as a tool for systematic comparison of modern phased-array surveillance radar systems. The advantage of the inherent search volume over the existing approaches based on single-scan and cumulative probability of detection is that the inherent search volume depends only on the unadjustable parameters of the radar. A comparison algorithm based on the inherent search volume criterion is presented.     

Search Radar Evaluation by the Normalized Cumulative Probability of Detection Curves

The normalized cumulative probability of detection curves are presented as a new evaluation tool of search radar systems. This tool 1) does not need interpolation for constant false-alarm number, 2) provides the distance of the performance from the optimum, and 3) is easily programmable.     

Online identification and control of linearized aircraft dynamics

An approach for online identification and control that requires weaker excitation than the existing approaches based on least-squares schemes and closed-loop systems is examined. It uses multiple-objective optimization theory to resolve the conflict between identification and controller performance as they compete for the only available resource, the inputs to the aircraft. The approach is applied to a longitudinal model of a representative linearized high-performance aircraft model. Simulation results compare the final controller with a conventional gain-scheduled pitch command augmentation system. It is demonstrated that by allowing some control input to be given to the identification process, the controller's overall performance is improved     

Discrete optimal guidance for high-order missile and maneuvering target

An explicit closed-form formula of a discrete guidance law for a linear time-invariant, acceleration commanded, arbitrary-order missile and a linear, time-invariant arbitrary-order, maneuvering target is derived. The formula is given in terms of the missile and target transfer functions and responses to initial conditions. Examples are explicitly solved for zero-lag and a first-order missile. As an example, it is shown that the discrete proportional navigation ratio is higher than 3 and time varying in contrast to the continuous case.<>     

Control for unstable nonminimum phase uncertain dynamic vehicle

A control algorithm for control of linear uncertain systems is presented. This algorithm is applied to the control of an unstable nonminimum phase uncertain dynamic vehicle. The algorithm is based on the state and parameters observability canonical (SPOC) form and a certainty equivalence pole placement controller. The algorithm provides single controller for the problem of the uncertain dynamic vehicle that approaches the performance of a controller designed for perfectly known parameters within the whole range of the plant's parameters uncertainty. The algorithm is globally bounded input bounded output stable and needs only the knowledge of the order of the plant. The algorithm is presented and its performance is demonstrated by simulations