Performance Analysis Via Finite-Time Norm For Terminal Guidance System

In the past few years, to improve the accuracy of the terminal guidance system, the performance analysis and index distribution of the homing TGS have been paid more and more attention. Conventional performance analysis methods greatly depend on flying trial data or digital simulation technology, which have some drawbacks such as disjunctions between analysis and design, single performance index, long analysis period, and so on. Since they can not satisfy any more the requirements from modern precision terminal guidance weapon systems, it is in urgent need, based on the characteristics of TGS, to establish a scientific and quantitative index system and its corresponding comprehensive analysis methods from the system and control point of view. Therefore, the performance analysis method for homing TGS is focused in this dissertation, and the main contributions are the following:Firstly, the characteristics, which are finite-time, non-zero initial conditions and strongly time-varying, are analyzed. Based on this, the linear time-varying (LTV) model is established for TGS. Then, the input-output signals of TGS are measured in an extend L_p space. These works lay the foundation for deeper researches on TGS.Secondly, in light of stochastic errors in terminal guidance process and random maneuvers of targets, a new performance analysis framework is presented based on the finite-time generalized H₂ method. The finite-time generalized H₂ performance measure is proposed for a LTV system and the corresponding criterion is given in the form of Hermitian Riccati matrix differential equation (HRMDE). The comparison on numerical solutions of HRMDE is approached. Seeker noises and target maneuvers are described via shaping filters. The root-mean miss distance is analyzed by applying the proposed finite-time generalized H₂ method.Thirdly, the energy requirement of homing TGS is investigated. The finite-time H_∞robust performance analysis criterion is proposed for a system with parameter uncertainties. The energy requirement caused by handover errors from midcourse guidance to terminal guidance and target maneuvers is illustrated by applying finite-time H_∞analysis method. The worst maneuver form of the target and the missile-target maximum energy consumption ratio are given. Furthermore, simulation results quantitatively reveal the relation between the energy requirement and terminal guidance loop dynamics. Also, the trade-offs between the energy requirement and miss distance are analyzed by choosing different weight functions.Fourthly, with required overload problems in terminal guidance process, a new finite-time L₁ analysis method is proposed. The finite-time L₁ performance measure and criterion of LTV system are studied. Based on the adjoint theory, a general method is proposed for computing the Loo-induced norm of linear continuous system. The relation and distinction between finite-time L₁ performance and BIBO stability are also discussed. The relation between subsystem performance and maximum required overload is analyzed quantitatively by applying the proposed finite-time L₁ method.Finally, to solve the index distribution problem of a complicated TGS, considerations and methods for the index distribution are given in detail by solving the finite-time mixed gain measure. By combining the system parameterization method and mixed gain measure, the index distribution problem is formulated as the typical control issue. In the index distribution process, the set of the feasible index distribution schemes is determined via finite-time mixed gain measure method, taking into consideration the guidance accuracy requirement. Furthermore, the optimal index distribution scheme of the certain TGS is given considering the cost, the difficulty, the development period, and so on.In summary, we focus on the performance comprehensive analysis problem of homing TGS in this dissertation. Proposing the finite-time H₂, H_∞, and L₁ analysis methods of LTV system aside, it comes up with relatively perfect quantitative performance index system and corresponding comprehensive analysis methods of TGS. It also looks into the key issues such as root-mean miss distance, energy requirement, required overload and index distribution. The superiority and effectivity of these proposed methods have been verified by computer simulations.