一类非线性非最小相位系统的指数镇定  

Exponential stabilization for a class of nonlinear non-minimum phase systems

作　　者：张绍杰[1] 胡寿松[1] 

机构地区：[1]南京航空航天大学自动化学院,南京210016

出　　处：《东南大学学报（自然科学版）》2010年第S1期8-12,共5页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60234010;61074063);航空科学基金资助项目(05E52031)

摘　　要：针对一类仿射多输入单输出非线性非最小相位系统,提出了一种新的指数镇定方案.该方案针对一类具有零扰动特性的非最小相位系统,首先忽略部分系统动态,利用微分几何近似反馈线性化解耦系统输入输出关系,把忽略的系统动态作为干扰;然后通过状态反馈极点配置实现系统外部和内部动态的镇定.所设计控制器能保证闭环系统的指数稳定性,并通过Lyapunov分析给出了可使系统指数稳定的参数范围.数字仿真结果表明了所提方法的有效性.A novel exponential stabilization scheme is proposed for a class of affine multi-input single-output ( MISO) nonlinear non-minimum phase systems. Considering a class of nonlinear nonminimum phase systems with vanishing perturbation characteristics,parts of the system internal dynamics are ignored, the inputs-outputs of systems are decoupled by differential geometry approximate feedback linearization,and the ignored system dynamics are regarded as disturbances. And then the external dynamics and internal dynamics of systems are stabilized by the state feedback pole assignment method. The proposed controller can guarantee that the closed-loop systems are exponentially stable,and the parameters region that can guarantee the stability of systems is given by using Lyapunov stability analysis. Digital simulation results demonstrate the effectiveness of the proposed method.

关 键 词：非最小相位系统 反馈线性化 零扰动 指数镇定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]