• Title/Summary/Keyword: Riccati equation

Search Result 163, Processing Time 0.019 seconds

Development of Integrated Orbit and Attitude Software-in-the-loop Simulator for Satellite Formation Flying

  • Park, Han-Earl;Park, Sang-Young;Park, Chandeok;Kim, Sung-Woo
    • Journal of Astronomy and Space Sciences
    • /
    • v.30 no.1
    • /
    • pp.1-10
    • /
    • 2013
  • An integrated orbit and attitude control algorithm for satellite formation flying was developed, and an integrated orbit and attitude software-in-the-loop (SIL) simulator was also developed to test and verify the integrated control algorithm. The integrated algorithm includes state-dependent Riccati equation (SDRE) control algorithm and PD feedback control algorithm as orbit and attitude controller respectively and configures the two algorithms with an integrating effect. The integrated SIL simulator largely comprises an orbit SIL simulator for orbit determination and control, and attitude SIL simulator for attitude determination and control. The two SIL simulators were designed considering the performance and characteristics of related hardware-in-the-loop (HIL) simulators and were combined into the integrated SIL simulator. To verify the developed integrated SIL simulator with the integrated control algorithm, an orbit simulation and integrated orbit and attitude simulation were performed for a formation reconfiguration scenario using the orbit SIL simulator and the integrated SIL simulator, respectively. Then, the two simulation results were compared and analyzed with each other. As a result, the user satellite in both simulations achieved successful formation reconfiguration, and the results of the integrated simulation were closer to those of actual satellite than the orbit simulation. The integrated orbit and attitude control algorithm verified in this study enables us to perform more realistic orbit control for satellite formation flying. In addition, the integrated orbit and attitude SIL simulator is able to provide the environment of easy test and verification not only for the existing diverse orbit or attitude control algorithms but also for integrated orbit and attitude control algorithms.

Dynamic Positioning Control System Design for Surface Vessel: Observer Design Based on H Control Approach (수상선박의 위치 및 자세제어시스템 설계에 관한 연구 : 강인제어기법에 의한 관측기 설계)

  • Kim, Young-Bok
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.36 no.10
    • /
    • pp.1171-1179
    • /
    • 2012
  • In this study, we consider a dynamic positioning system (DPS) design problem that can be extended to many application fields. Toward this end, tracking and positioning control problems are discussed. In particular, we design a tracking control system that incorporates an observer based on the 2-DOF servo system design approach in order to obtain the desired state information. In the case of observer design, a weighted $H_{\infty}$ error bound approach for a state estimator is considered. Based on an algebraic Riccati equation (inequality) approach, a necessary and sufficient condition for the existence of a full-order estimator that satisfies the weighted $H_{\infty}$ error bound is introduced. The condition for the existence of the estimator is denoted by a linear matrix inequality (LMI) that yields an optimized solution and the observer gain.

Optimal Scheduling of Detection and Tracking Parameters in Phased Array Radars (위상배열 레이다 검출 및 추적 매개변수의 최적 스케쥴링)

  • Jung, Young-Hun;Kim, Hyun-Soo;Hong, Sun-Mog
    • Journal of the Korean Institute of Telematics and Electronics S
    • /
    • v.36S no.7
    • /
    • pp.50-61
    • /
    • 1999
  • \In this paper, we consider the optimal scheduling of detection and tracking parameters in phased array radars to minimize the radar energy required for track maintenance in a cluttered environment. We develop a mathematical model of target detection induced by a search process in phased array radars. In the mathematical development, we take into account the effect of unwanted measurements that may have originated from clutter or false alarms in the detection process. We use and analytic approximation of the modified Riccati equation of the probabilistic data association (PDA) filter to take into account the effect of clutter interference in tracking. Based on the search process and the tracking models, we formulate the optimal scheduling problem into a nonlinear optimal control problem. We solve a constrained nonlinear optimization problem to obtain the solution of the optimal control problem.

  • PDF