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首页> 外文会议>Second IEEE International Software Engineering Standards Symposium, 1995. (ISESS'95) 'Experience and Practice', 1995 >Optimal tracking control of nonlinear dynamic systems with controlbounds
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Optimal tracking control of nonlinear dynamic systems with controlbounds

机译：具有控制边界的非线性动力系统的最优跟踪控制

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摘要

Using the Hamilton-Jacobi theory, we solve the constrainedoptimization problem for nonlinear multivariable continuous-timesystems. It is illustrated that through the use of positive-definiteperformance integrands, the designer can analytically synthesize theconstrained control laws within the admissible control set. We extendthe class of dynamic systems for which the constrained optimizationproblem can be solved. The paper demonstrates the ability of theconstrained optimization concept to design the bounded controller formultivariable advanced aircraft. The fighter longitudinal and lateraldynamics are mapped by a set of nine highly nonlinear differentialequations with six bounded control inputs. The complete aircraft model,as derived using the Lagrange equations and nonlinear fluid dynamics, isapplied to synthesize an optimal controller using the mechanical limitsimposed on the angular deflections of the control surfaces. This verycomplex multivariable flight control problem for highly nonlinearaircraft have challenged the control community for many years. Theresults documented in the paper show that a constrained controllersynthesized allows one to attain the desired flying and handlingqualities and expand the operating envelope. The desired agility,controllability, maneuverability and other pilotage requirements areassessed minimizing the nonquadratic performance cost, and highlydetailed nonlinear simulations were performed to demonstrate theadvantages of the controller designed
机译：使用汉密尔顿-雅各比理论，我们解决了约束 非线性多变量连续时间的优化问题 系统。说明了通过使用正定 性能集成者，设计人员可以分析综合 允许的控制集中的约束控制律。我们扩展 约束优化的动态系统的类别 问题可以解决。本文展示了 约束优化概念设计有界的控制器。 多变量高级飞机。战机的纵向和横向 动力学由一组九个高度非线性的微分映射 具有六个有界控制输入的方程。完整的飞机模型 使用拉格朗日方程和非线性流体动力学推导的结果是 应用于通过机械极限来合成最佳控制器 施加在控制面的角度偏差上。这个非常 高度非线性的复杂多变量飞行控制问题 飞机已经向控制界提出了许多挑战。这 文件中记录的结果表明，约束控制器 合成的可以使人达到理想的飞行和操控 品质并扩大运营范围。所需的敏捷性， 可控性，机动性和其他引航要求是 经过评估，将非二次性能成本降到最低，并且高度 进行了详细的非线性仿真以证明 控制器设计的优点

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