A constrained pseudo-Newton control strategy for nonlinear systems
نویسندگان
چکیده
The duality of control theory and the theory on the solution of operator equations has been exploited to develop a nonlinear control law. The control law is developed by analogy to Newton's method and several related properties are shown. To handle the state and control variable constraints, the method is generalized to include a Successive Quadratic Programming (SQP) algorithm. Stability properties for this algorithm have been studied. It was found that with large enough but finite sampling time, systems that are open-loop asymptotically stable in the large can approach the setpoint monotonically. Simulation results of two example problems demonstrate the effectiveness of the proposed strategy.
منابع مشابه
The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint
In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations to the nonlinear algebraic equations. Then, the Newton-Raphson method is used for solving these sets of algebraic equations. To present ability ...
متن کاملSuperlinearly convergent exact penalty projected structured Hessian updating schemes for constrained nonlinear least squares: asymptotic analysis
We present a structured algorithm for solving constrained nonlinear least squares problems, and establish its local two-step Q-superlinear convergence. The approach is based on an adaptive structured scheme due to Mahdavi-Amiri and Bartels of the exact penalty method of Coleman and Conn for nonlinearly constrained optimization problems. The structured adaptation also makes use of the ideas of N...
متن کاملA Two-dimensional Trust-region Method for Large Scale Bound-constrained Nonlinear Systems
We design a well-developed algorithm for solving large bound-constrained systems. The method combines a subspace trust-region strategy with a Newton-Krylov method and with a strategy for handling the bounds. To solve the trust-region problem efficiently, we look for an approximate solution and do not require the exact solution of the Newton equation. In addition, a strategy for obtaining an imp...
متن کاملConstrained Nonlinear Estimation of Road Friction Coefficient and Wheel Slip for Control of Anti-Lock Braking System
In designing the anti-lock braking system (ABS), some states and parameters of vehicle system such as road friction of coefficient and wheel slip should be estimated due to lack of cost effective and reliable sensors for direct measurement. Because of nonlinear characteristics of vehicle dynamics and tire forces, development of a nonlinear estimation algorithm is necessary. However, considerati...
متن کاملSolving Nonlinear Systems of Equations by Means of Quasi-newton Methods with a Nonmonotone Strategy 1
A nonmonotone strategy for solving nonlinear systems of equations is introduced. The idea consists of combining eecient local methods with an algorithm that reduces monotonically the squared norm of the system in a proper way. The local methods used are Newton's method and two quasi-Newton algorithms. Global iterations are based on recently introduced box-constrained minimization algorithms. We...
متن کامل