控制与决策
控製與決策
공제여결책
CONTROL AND DECISION
2013年
2期
183-187
,共5页
离散线性系统%??∞控制%状态饱和%迭代线性矩阵不等式
離散線性繫統%??∞控製%狀態飽和%迭代線性矩陣不等式
리산선성계통%??∞공제%상태포화%질대선성구진불등식
discrete linear system%??∞control%state saturation%iterative linear matrix inequality
研究一类具有状态饱和约束的离散线性系统的??∞控制问题.通过引入一个无穷范数小于等于1的自由变量,将状态饱和约束下的离散线性系统状态变量约束在一个凸多面体内.在此基础上,给出了状态饱和离散线性系统的有界实引理,并研究了状态反馈控制律设计算法.所给出的结论表示为双线性矩阵不等式,可通过所提出的迭代线性矩阵不等式算法求解.最后通过数值例子验证了所提出算法的正确性和有效性.
研究一類具有狀態飽和約束的離散線性繫統的??∞控製問題.通過引入一箇無窮範數小于等于1的自由變量,將狀態飽和約束下的離散線性繫統狀態變量約束在一箇凸多麵體內.在此基礎上,給齣瞭狀態飽和離散線性繫統的有界實引理,併研究瞭狀態反饋控製律設計算法.所給齣的結論錶示為雙線性矩陣不等式,可通過所提齣的迭代線性矩陣不等式算法求解.最後通過數值例子驗證瞭所提齣算法的正確性和有效性.
연구일류구유상태포화약속적리산선성계통적??∞공제문제.통과인입일개무궁범수소우등우1적자유변량,장상태포화약속하적리산선성계통상태변량약속재일개철다면체내.재차기출상,급출료상태포화리산선성계통적유계실인리,병연구료상태반궤공제률설계산법.소급출적결론표시위쌍선성구진불등식,가통과소제출적질대선성구진불등식산법구해.최후통과수치례자험증료소제출산법적정학성화유효성.
This paper studies the??∞synthesis for discrete linear systems with state saturation nonlinearity. By introducing a free matrix whose infinity normis less than or equal to 1, the state under saturation constraint is confined in a convex hull. Based on this, a bounded real lemma for discrete linear systems with state saturation is obtained in terms of matrix inequalities which can be solved by using the presented iterative linear matrix inequality algorithm. The synthesis problem is also solved and an explicit expression for the desired state feedback control law is given. A numerical example shows the effectiveness and correctness of the presented method.
