Application of a Linear Time-varying Control Technique to Trajectory Stabilization for Nonlinear Multi-input Systems
نویسنده
چکیده
In this paper, we consider the stabilization controller for some desired trajectory of nonlinear systems. For such a problem, it should be one of the best strategies to apply the linear time-varying controller for linear approximate model around the trajectory. However, because a controller design procedure for linear time-varying system is not necessarily simple, some other methods like various types of nonlinear controllers or a gain scheduling control based on the linear time-invariant controller are commonly used. The author proposed the simple design procedure of pole placement controller for linear time-varying multi-input systems. The feedback gain can be obtained directly from the plant parameters without transforming the system into any standard form. This paper show the applicability of such a controller to linear time-varying approximate model around some desired trajectory of nonlinear systems.
منابع مشابه
Adaptive fuzzy pole placement for stabilization of non-linear systems
A new approach for pole placement of nonlinear systems using state feedback and fuzzy system is proposed. We use a new online fuzzy training method to identify and to obtain a fuzzy model for the unknown nonlinear system using only the system input and output. Then, we linearized this identified model at each sampling time to have an approximate linear time varying system. In order to stabilize...
متن کاملPotentials of Evolving Linear Models in Tracking Control Design for Nonlinear Variable Structure Systems
Evolving models have found applications in many real world systems. In this paper, potentials of the Evolving Linear Models (ELMs) in tracking control design for nonlinear variable structure systems are introduced. At first, an ELM is introduced as a dynamic single input, single output (SISO) linear model whose parameters as well as dynamic orders of input and output signals can change through ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملLocal stabilization for a class of nonlinear impulsive switched system with non-vanishing uncertainties under a norm-bounded control input
Stability and stabilization of impulsive switched system have been considered in recent decades, but there are some issues that are not yet fully addressed such as actuator saturation. This paper deals with expo-nential stabilization for a class of nonlinear impulsive switched systems with different types of non-vanishing uncertainties under the norm-bounded control input. Due to the constraine...
متن کاملHybrid Fuzzy-PID Application in Boilers to Obtain Optimum Efficiency
Many real time processes have complex, uncertain and nonlinear dynamics. Boilers are nonlinear, time varying, multi-input multi-output (MIMO) systems, whose states generally vary with operating conditions. The major problem in controlling that system is that its drum water pressure and steam flow dynamics include an integrator that results a critically stable behavior. Conventional controller p...
متن کامل