CONTROL OF DISTRIBUTED PARAMETER SYSTEMS AND NONLINEAR SYSTEMS IN AEROSPACE ENGINEERING

Control of distributed parameter systems and nonlinear systems is discussed with application to aerospace engineering. Design techniques of stabilizing control laws are developed for distributed parameter systems that embody large space structures, and a real-time optimizarion technique is proposed for optimal feedback control of general nonlinear systems. Stabilizing control laws are designed for general mechanical systems based on Lyapunov\u27s method. The proposed control laws include not only a constant-gain feedback but also such frequency-dependent feedback that involves positive-real filters, observers, or prefilters. The multiplier method for constrained minimization problems is also adopted to the control design based on the Lyapunov\u27s method, and is shown to result in the integral control action. A numerical example demonstrates the proposed control laws. Optimal feedback control problem of nonlinear systems is formulated as the receding horizon control that has a varying initial time and a varying terminal time. Computational methods of the nonlinear receding-horizon state feedback control are discussed intensively. A real-time optimization technique based on the stabilized continuation method is shown to be suitable to the nonlinear receding-horizon state feedback control .The proposed algorithm is implemented in a hardware experiment successfully. The similar approach is applied to the nonlinear receding-horizon state estimation problem as the dual of the nonlinear recedinghorizon state feedback control problem. The algorithms are derived, and analyzed theoretically and numerically.東京都立科学技術大学, 1995-03-23, 博士（工学）, 甲第4