采用观测器的双线性系统最优跟踪控制器设计

研究一类参考输入由外系统描述的双线性系统的最优输出跟踪控制问题.利用逐次逼近的方法,首先构造一族非齐次线性两点边值问题序列将原非线性两点边值问题解耦;然后迭代求解伴随向量的序列,得到由状态向量的线性解析函数和以伴随向量的极限形式给出的非线性部分的补偿项组成的最优输出跟踪控制律.通过构造降维观测器重构外系统的状态,解决了最优输出跟踪控制律的物理可实现问题仿真结果表明了该方法的有效性.

Design of optimal tracking controllers with observer for bilinear systems

The optimal output tracking control(OOTC)problem for a class of bilinear systems is considered where the reference input is described by an exosystem.By using a successive approximation approach,a sequence of nonhomoge- neous linear two-point boundary value(TPBV)problems is constructed to decouple the original nonlinear TPBV problem. An adjoint vector sequence can then be obtained by iteratively solving the sequence of TPBV problems.The OOTC law obtained consists of an accurate linear feedback term and a nonlinear compensation term which is the limit of the adjoint vector sequence.By introducing a reduced-order observer to reconstruct the state of the exosystem,the problem of physically realizable of the OOTC law can thus be solved.A simulation example is employed to illustrate the effectiveness of this approach.