摘要：针对目前非线性随机系统控制方法的设计复杂、计算成本高以及缺乏稳定性或收敛性证明等缺点,提出了一种全新的基于等效非线性系统法求近似稳态解的思想设计的非线性随机系统的反馈控制,使受控系统输出的稳态概率密度函数逼近事先给定的目标概率密度函数.利用lyapunov函数法证明了受控系统的收敛性.数学仿真结果证明了这种方法的可行性和正确性.

摘要：针对现代四旋翼无人机大机动、强非线性以及强耦合的特点,结合其姿态模型符合双层块对角结构,提出将块对角理论运用于姿态控制器的设计。为进一步提升控制器跟踪动态指令的快速性和整体的鲁棒性,在块对角理论的基础上将对动态指令敏感的lyapunov函数法与具有较好收敛性和鲁棒性的PID控制理论分别应用到两层块对角结构的线性设计部分。仿真结果表明,采用混合线性设计的四旋翼块对角姿态控制器具有良好的动态性能和较强的鲁棒性。

摘要：利用最优控制综合的Ｌｙａｐｕｎｏｖ函数方法，研究了一类非线性奇异系统在指标为１时的滑动模态控制问题．所设计的控制不仅使其闭环系统无脉冲，而且保证系统具有良好的动态品质．最后以此方法研究了线性定常奇异系统，并给出了一个数值例子．

摘要：In this paper, the problem of fault tolerant control (FTC) considering actuator fault for networked control systems (NCSs) with access constraints is addressed. A static scheduling method, periodic communication sequence (PCS), is applied to allocate network resource and schedule the access to the network. The novelty of this work lies in that the NCS with PCS and actuator fault are modeled as a periodic switching system and the schedule-dependent lyapunov function method is used to design the fault tolerant controller. For the data packets dropped by scheduling strategy at each sampling time, 0 and the value of previous sampling time are respectively considered to recover them. Additionally, the problem of robust FTC for the controlled plant with external energy-bounded disturbance is also respectively discussed under these two situations. Numerical examples are given to illustrate the effectiveness of the proposed design methods.

摘要：在混沌通信系统工程化过程中,要求实时信号接收处理,实现收发两端系统的快速同步。为解决该问题,提出了以非线性控制器设计为基础的快速同步方案。针对离散混沌系统,采用lyapunov函数同步法判定准则和反馈同步原理,合理设计了响应系统中的非线性控制器。仿真结果表明,同步误差可快速地稳定于零点,验证了该快速同步方法的正确性和有效性。