CAJ | 학술논문

研究非线性离散系统的最优跟踪控制问题.通过在由最优控制问题所导致的非线性两点边值问题中引入灵敏度参数,并对它进行Maclaurin级数展开,将原最优跟踪控制问题转化为一族非齐次线性两点边值问题.得到的最优跟踪控制由解析的前馈反馈项和级数形式的补偿项组成.解析的前馈反馈项可以由求解一个Riccati差分方程和一个矩阵差分方程得到.级数补偿项可以由一个求解伴随向量的迭代算法近似求得.以连续槽式反应器为例进行仿真验证了该方法的有效性.
연구비선성리산계통적최우근종공제문제.통과재유최우공제문제소도치적비선성량점변치문제중인입령민도삼수,병대타진행Maclaurin급수전개,장원최우근종공제문제전화위일족비제차선성량점변치문제.득도적최우근종공제유해석적전궤반궤항화급수형식적보상항조성.해석적전궤반궤항가이유구해일개Riccati차분방정화일개구진차분방정득도.급수보상항가이유일개구해반수향량적질대산법근사구득.이련속조식반응기위례진행방진험증료해방법적유효성.
The optimal output tracking control(OOTC) problem is considered for discrete-time nonlinear systems. By introducing a sensitivity parameter in the nonlinear two-point boundary value(TPBV) problem which is obtained from the optimal control problems and expanding Maclaurin series around it, the original nonlinear OOTC problem is transformed into a series of nonhomogeneous linear TPBV problems. The OOTC law consists of analytic feedback and feedforward terms and a compensation term in an infinite series form. The analytic terms can be obtained by solving a Riccati difference equation and a matrix difference equation. The series compensation term can be approximately obtained by an iterative algorithm of adjoint vector equations. A simulation example from continuously stirred tank reactor(CSTR) is employed to test the validity of the presented algorithm.