Interval Criterion of Robust Stability for Nonlinear System and Its Application to Flight Control

Robust stability for a series of nonlinear systems is presented in this paper. Through different region descriptions, the problem of stability for a complex nonlinear system is transformed into ones of the robust stabilities of several linear time-invariant systems. To get useful robust stability conditions, an expression for interval system is given, and the relationship between the internal stability and low- or supper-bound stability of interval systems is discussed. Thus, the polynomial matrix inequality for the determination of system robust stability is developed. Based on the equivalency transformation of the inequality, the solvable condition of the inequality is obtained. By means of the condition, robust stability theorem for interval systems is presented and a new design method of feedback control for nonlinear system is achieved. Applications to flight controller design show that the new method is efficient for uncertain system design.

Buck变换器动态过程电容充放电平衡控制策略

为改善Buck变换器动态性能,将线性、非线性控制算法相结合,负载稳定时采用电压模式线性控制,负载突变时采用电容充放电平衡非线性控制算法以提高动态特性。对电容充放电平衡控制Buck变换器的动态过程进行理论分析,由于负载在开关周期的不同时刻发生正/负跳变时,电容充放电荷量不相同,其动态响应也不一样。采用电容充放电平衡控制策略,负载在电感电流最大时发生正跳变变换器具有最好的动态特性,反之在相同时刻发生负跳变则具有最不理想的动态过程。对采用电压模式与电容充放电平衡两种控制算法的Buck电路进行负载突变的对比仿真研究。仿真结果验证了理论分析的正确性及电容充放电平衡控制算法的优良动态控制特性。